All Calculators
Browse 615+ free calculators across 9 categories.
Math71
Percentage, fraction, algebra, and statistics calculators for students and professionals.
71 calculators · Page 1 of 3
Calculate the absolute value of any number, find the distance between two numbers, and solve absolute value equations.
Calculate the arc length, sector area, and chord length of a circle given the radius and central angle.
Calculate the area, perimeter, and diagonal length of a rectangle from its length and width.
Find the nth term, sum of the first n terms, and preview an arithmetic sequence given the first term, common difference, and term number.
Convert numbers between binary, decimal, octal, and hexadecimal number systems instantly.
Calculate circle properties: area, circumference, diameter, and sector area from the radius or other known values.
Convert a quadratic expression ax² + bx + c into vertex form a(x - h)² + k. Find the vertex, roots, and discriminant instantly.
Calculate cone volume, surface area, slant height, and lateral area from radius and height.
Calculate the cosine of any angle in degrees or radians. Also find the inverse cosine (arccos), secant, and related angle information.
Solve proportions using cross multiplication. Find the missing value in a/b = c/d and verify proportion equality.
Calculate the cross product of two 3D vectors. Find the resulting vector, its magnitude, and the area of the parallelogram formed by the input vectors.
Calculate the cube root or any nth root of a number. Verify results and check for perfect roots.
Calculate cylinder volume, surface area, and lateral area from radius and height.
Convert any decimal number to its simplest fraction form. Supports terminating and repeating decimals.
Calculate the distance between two points in 2D using the distance formula. Based on the Pythagorean theorem.
Calculate the dot product of two vectors, the angle between them, and check for orthogonality. Supports 2D and 3D vectors.
Calculate ellipse area, circumference, eccentricity, and foci from the semi-major and semi-minor axes.
Calculate area, perimeter, height, inradius, and circumradius of an equilateral triangle from its side length.
Calculate the result of raising a base number to any power (exponent). Supports positive, negative, and fractional exponents.
Calculate the factorial of any non-negative integer (n!). Also computes permutations, combinations, and double factorials.
Generate Fibonacci numbers, find the nth Fibonacci number, and explore the golden ratio relationship.
Convert fractions to decimals and percentages. Enter a numerator and denominator to get instant results.
Find the Greatest Common Divisor (GCD) and Least Common Multiple (LCM) of two numbers.
Find the nth term, partial sum, and infinite sum of a geometric sequence given the first term, common ratio, and term number.
Calculate golden ratio relationships between segments. Find the longer segment, shorter segment, or total from any known value.
Calculate area, perimeter, apothem, and diagonals of a regular hexagon from its side length.
Calculate area, perimeter, height, base angles, and vertex angle of an isosceles triangle from the equal side and base lengths.
Solve triangles using the law of cosines. Find the unknown side and remaining angles from two sides and the included angle.
Finance95
Mortgage, loan, interest, investment, and salary calculators for personal finance.
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Estimate your 401(k) balance at retirement with employer matching, contribution limits, and investment growth.
Generate a loan amortization schedule showing the breakdown of principal and interest for each payment.
Calculate the present value, future value, or periodic payment of an annuity.
Calculate the Annual Percentage Rate (APR) on a loan by factoring in interest rate, fees, and loan term to see the true cost of borrowing.
Estimate auto insurance costs based on vehicle value, driver age, coverage type, deductible, and annual mileage. Get monthly and annual premium estimates.
Calculate how much you can save by transferring credit card balances to a lower APR. Compare interest costs and see net savings after the transfer fee.
Calculate the current yield and approximate yield to maturity for a bond investment.
Calculate the break-even point for your business or product to determine how many units you need to sell to cover costs.
Divide your income using the 50/30/20 budget rule: 50% needs, 30% wants, 20% savings.
Calculate monthly payments, total interest, and total cost for a business loan or SBA loan.
Estimate business value using revenue multiples, earnings multiples, and asset-based methods. Get a quick valuation range for any business.
Calculate the Compound Annual Growth Rate of an investment. Find the smoothed annual rate of return over a given time period.
Calculate the capitalization rate for real estate investments. Find NOI, cap rate, and gross rent multiplier to evaluate property value.
Estimate your capital gains tax on investments, real estate, or other assets.
Estimate how much your car depreciates over time and what it will be worth in the future.
Calculate your monthly car payment, total interest, and total cost for an auto loan.
Calculate how much cash back you earn from credit card rewards based on your spending and card terms.
Calculate COGS using beginning inventory, purchases, and ending inventory. Determine gross profit and COGS ratio for your business.
Calculate sales commission earned on a sale, with optional base salary to see total compensation.
Calculate how your investments grow over time with compound interest. See the power of compounding with different rates, terms, and compounding frequencies.
Calculate how much interest you will pay on your credit card balance and see how different payment amounts affect your total cost.
See how long it takes to pay off your credit card making only minimum payments and how much interest it costs you.
Calculate how long it will take to pay off your credit card balance and how much interest you will pay.
Calculate enterprise value using the Discounted Cash Flow model. Project future cash flows, estimate terminal value, and find the present value of a business.
Calculate how long it takes to pay off your total debt and how much interest you will pay based on your monthly payments.
Compare the debt snowball and avalanche methods to find the fastest and cheapest way to pay off your debts.
Calculate the debt-to-equity ratio to understand a company's financial leverage. Compare against industry benchmarks.
Calculate your debt-to-income ratio to see how lenders evaluate your borrowing capacity.
Health & Fitness78
BMI, calorie, body fat, and nutrition calculators for health-conscious individuals.
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Convert HbA1c to estimated average blood glucose (eAG) and vice versa using the ADAG study formula, with diabetes classification.
Calculate the calories in alcoholic beverages based on drink type, volume, and alcohol by volume (ABV) percentage.
Calculate the APGAR newborn assessment score based on heart rate, respiratory effort, muscle tone, reflex response, and skin color.
Calculate your body fat percentage using the U.S. Army circumference-based method (AR 600-9) with neck, waist, and hip measurements.
Calculate recommended formula feeding amounts for infants by age and weight, including daily totals and per-feeding amounts.
Estimate your Blood Alcohol Content (BAC) using the Widmark formula based on drinks consumed, body weight, gender, and time elapsed.
Classify your blood pressure reading according to the American Heart Association (AHA) and ACC/AHA 2017 guidelines.
Predict possible blood types for a child based on both parents' ABO blood types and Rh factors using Mendelian genetics.
Calculate your Body Mass Index (BMI) using weight and height with WHO classification.
Calculate your BMI Prime, the ratio of your BMI to the upper limit of normal BMI (25), for a quick assessment of weight status.
Calculate your Basal Metabolic Rate using the Mifflin-St Jeor equation to find how many calories your body burns at rest.
Estimate your body fat percentage using the U.S. Navy method based on body circumference measurements.
Determine your body frame size (small, medium, or large) using elbow breadth and height measurements based on NHANES data.
Calculate your body surface area (BSA) using the Mosteller, DuBois, and Haycock formulas for medical dosing and physiological calculations.
Calculate the extra calories needed while breastfeeding, estimated milk production, and hydration requirements for nursing mothers.
Track your daily caffeine intake from coffee, tea, energy drinks, and supplements. Check if you are within FDA safe limits.
Calculate your daily calorie requirements based on age, gender, weight, height, and activity level using the Mifflin-St Jeor equation.
Calculate the daily caloric deficit needed for weight loss based on your current weight, goal weight, timeframe, and activity level.
Calculate calories burned during various physical activities using MET values, your body weight, and exercise duration.
Calculate your daily carbohydrate needs based on calorie intake, dietary goal, and activity level.
Calculate BMI-for-age percentile for children and teens aged 2-20 using CDC growth chart reference data.
Predict your child's adult height using the mid-parental height method based on the heights of both biological parents.
Calculate your cholesterol ratios (Total/HDL, LDL/HDL, Triglyceride/HDL) and cardiovascular risk assessment per AHA guidelines.
Estimate your conception date from your due date or last menstrual period, adjusted for your cycle length.
Calculate albumin-corrected calcium levels to determine true calcium status in patients with low albumin.
Estimate creatinine clearance and kidney function using the Cockcroft-Gault equation based on age, weight, sex, and serum creatinine.
Calculate calories burned while cycling based on your weight, speed, duration, and terrain using MET values from the Compendium of Physical Activities.
Calculate your optimal daily step count and estimate calories burned based on your weight, height, stride length, and fitness goal.
Physics67
Mechanics, energy, electricity, and motion calculators for physics students.
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Calculate acceleration from velocity change and time using a = (v - u) / t.
Calculate angular acceleration, angular displacement, revolutions, and tangential linear acceleration from rotational kinematics.
Calculate angular momentum L = Iω and rotational kinetic energy from moment of inertia and angular velocity.
Convert between rad/s, RPM, and deg/s. Calculate linear velocity from angular velocity and radius.
Calculate fluid pressure, velocity, or height using Bernoulli's equation: P + ½ρv² + ρgh = constant.
Calculate buoyant force using Archimedes' principle: F_b = ρ_fluid × V × g. Determine if an object floats or sinks.
Calculate capacitance, charge, or voltage using C = Q/V. Also computes energy stored in a capacitor.
Calculate total capacitance for capacitors in series or parallel, plus stored charge and energy.
Calculate centrifugal (centripetal) force, angular velocity, and centripetal acceleration using F = mv²/r.
Calculate centripetal force, velocity, or radius for circular motion using F = mv²/r.
Calculate velocity, period, frequency, centripetal acceleration, and angular velocity for uniform circular motion.
Calculate electrostatic force between two point charges using F = kq₁q₂/r².
Calculate sound intensity in decibels. Convert between dB levels, power ratios, and amplitude ratios.
Calculate density, mass, or volume using the formula ρ = m/V.
Calculate displacement, final velocity, and average velocity from initial velocity, acceleration, and time.
Calculate observed frequency due to the Doppler effect for moving source or observer.
Calculate aerodynamic drag force, power to overcome drag, and terminal velocity using the drag equation.
Calculate final velocities and verify conservation of kinetic energy and momentum for 1D elastic collisions.
Calculate the elastic potential energy stored in a spring using PE = ½kx² and force from Hooke's law F = kx.
Calculate the electric field strength from a point charge using E = kQ/r².
Calculate electrical power using P = IV, P = I²R, or P = V²/R. Find power, current, voltage, or resistance.
Calculate the escape velocity from a celestial body using ve = sqrt(2GM/r).
Calculate force, mass, or acceleration using Newton's Second Law F = ma.
Calculate free fall distance, velocity, and time for objects falling under gravity.
Calculate frequency from wavelength and wave speed, or from period. f = v/λ or f = 1/T.
Calculate friction force using F = μN. Find static or kinetic friction from coefficient and normal force.
Calculate gear ratio, speed multiplier, torque multiplier, and mechanical advantage from gear teeth counts.
Calculate gravitational force between two masses using Newton's law of gravitation F = Gm₁m₂/r².
Everyday Life72
Age, date, time, fuel, cooking, and grade calculators for daily use.
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Calculate your exact age in years, months, and days from your date of birth.
Calculate missing width or height to maintain an aspect ratio, or find the aspect ratio of given dimensions.
Calculate actual listening time and time saved at different playback speeds.
Estimate battery runtime from battery capacity (mAh) and device power consumption.
Find your exact age, age in days and hours, days until your next birthday, birth day of the week, and zodiac sign.
Find your bra size from band and bust measurements using the standard fitting method.
Count working days between two dates or add business days to a date, with optional Saturday inclusion.
Estimate your annual carbon footprint from transportation, home energy, and diet choices.
Calculate how much carpet you need for a room including square footage, square yards, and estimated rolls.
Convert your cat's age to human years using the veterinary-standard formula.
Calculate your daily, weekly, monthly, and yearly commute costs including fuel and tolls.
Convert between cooking measurement units: cups, tablespoons, teaspoons, milliliters, and fluid ounces.
Calculate the right curtain dimensions, number of panels, and fabric yardage for your windows.
Estimate mobile data consumption from video, music, social media, browsing, and email to find the right phone plan.
Add or subtract days, weeks, and months from a date to find a future or past date.
Calculate the number of days, weeks, and months between two dates.
Estimate how many diapers your baby needs per month and the cost based on age and brand preference.
Convert your dog's age to human years using the updated logarithmic formula based on DNA methylation research.
Calculate file transfer time between devices or over a network from file size and transfer speed.
Convert bust, waist, and hip measurements to US, UK, and EU dress sizes with body shape analysis.
Calculate electricity cost from watts, hours of use, and your rate per kWh.
Calculate days, weeks, and hours remaining until a future date or event.
Calculate the minimum grade you need on your final exam to achieve your desired course grade.
Calculate how many cords of firewood you need for the season and estimate cost.
Calculate the fuel cost of a trip based on distance, fuel efficiency, and fuel price.
Calculate your vehicle's fuel efficiency in MPG or L/100km from distance traveled and fuel used.
Determine what size generator you need by selecting appliances. Calculates running and starting watts.
Calculate your Grade Point Average. Enter letter grades and credit hours for up to 6 courses.
Construction57
Area, volume, concrete, paint, and tile calculators for builders and DIYers.
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Calculate the right AC or heating BTU size for your room. Factors in area, ceiling height, insulation quality, climate zone, and sun exposure for accurate sizing.
Calculate the area of rectangles, circles, and triangles. Select a shape and enter the dimensions.
Calculate how much asphalt you need in tons for driveways, parking lots, and roads. Enter dimensions and thickness for accurate estimates.
Calculate beam load capacity for dimensional lumber, LVL, and steel beams. Enter beam type, span, and load type to get maximum loads, deflection, and recommended uses.
Calculate board feet for lumber pricing. Enter thickness, width, and length to convert to board feet, the standard unit for hardwood lumber.
Look up recommended torque specifications for bolts and fasteners. Select bolt diameter, grade, and lubrication to get dry and lubricated torque values and clamp force.
Calculate how many bricks you need for walls, patios, and walkways. Enter dimensions and bond pattern to get brick count and mortar estimate.
Calculate required CFM (cubic feet per minute) airflow for HVAC systems based on room size and air changes per hour. Includes recommended duct size.
Calculate how much concrete you need for a slab. Enter length, width, and depth to get cubic yards and number of bags.
Calculate the number of concrete blocks (CMU) needed for a wall. Enter dimensions and block size to get block count, mortar bags, and cost estimate.
Calculate how much concrete you need for steps and stairs. Enter step dimensions to get volume in cubic feet, cubic yards, bags needed, and estimated cost.
Convert length, width, and depth dimensions to cubic yards, cubic feet, and cubic meters. Includes concrete bag estimate for fill projects.
Calculate how many deck boards you need. Enter deck dimensions, board size, and spacing to get board count, screws, and cost estimate.
Calculate how many drywall sheets you need. Enter room dimensions to get sheet count, joint compound, tape, and screws needed.
Calculate fence post hole depth, diameter, and concrete needed per hole. Accounts for fence height, post size, soil type, and wind exposure.
Calculate fencing materials needed including posts, rails, and pickets. Enter fence length and height to get a complete materials list.
Calculate how much flooring you need. Enter room dimensions and flooring type to get square footage, boxes, and cost estimates.
Calculate materials for a French drain: gravel, perforated pipe, and landscape fabric. Enter trench dimensions to get quantities and estimated cost.
Calculate the furnace BTU capacity needed for your home based on square footage, climate zone, insulation quality, and ceiling height.
Calculate how much gravel you need in tons and cubic yards. Enter area dimensions and depth for accurate material estimates.
Calculate grout needed for tile installation based on tile size, joint width, and coverage area. Get results in pounds and number of bags.
Calculate gutter materials needed including linear feet, downspouts, hangers, and end caps. Enter roof dimensions for a complete estimate.
Estimate building heat loss through walls, windows, and ceiling. Calculate BTU/hr loss and required furnace size based on U-values and temperature difference.
Calculate how much insulation you need. Enter area dimensions and R-value to get batts, rolls, or blown-in insulation quantities.
Calculate how many boards you need for your project. Enter dimensions and spacing to get board count, total linear feet, and cost estimate.
Calculate the weight of metal plates, round bars, and tubes. Supports steel, aluminum, copper, brass, titanium, and stainless steel with precise density values.
Calculate mortar bags needed for brick and block work. Enter wall area and block type to get mortar quantity, block count, and cost estimate.
Calculate how much mulch you need in cubic yards and bags. Enter bed dimensions and desired depth for accurate coverage estimates.
Conversion59
Length, weight, temperature, speed, and data unit converters.
59 calculators · Page 1 of 3
Convert acres to hectares, square meters, square feet, and square miles with exact conversion factors.
Convert between degrees, radians, gradians, turns, arcminutes, and arcseconds.
Convert between square millimeters, centimeters, meters, kilometers, inches, feet, yards, acres, and hectares.
Convert baking ingredients between cups, grams, ounces, and tablespoons using weight-based conversion for accuracy.
Convert between bits/s, bytes/s, Kbps, Mbps, Gbps, KB/s, MB/s, and GB/s bandwidth units.
Convert data sizes between bytes, KB, MB, GB, and TB using binary (1024-based) conversion.
Convert Celsius to Fahrenheit, Kelvin, and Rankine with exact formulas.
Convert clothing sizes between US, EU, and UK sizing for men's and women's garments.
Convert centimeters to inches, feet and inches, millimeters, and meters with exact conversion factors.
Convert colors between RGB, HEX, and HSL formats with precise mathematical conversion.
Convert between cups, tablespoons, teaspoons, milliliters, fluid ounces, pints, quarts, and gallons.
Convert GPS coordinates between decimal degrees, degrees-minutes-seconds (DMS), and degrees-decimal minutes.
Convert US cups to milliliters, liters, fluid ounces, and tablespoons with exact conversion factors.
Convert between major world currencies using approximate exchange rates. Includes USD, EUR, GBP, JPY, and more.
Convert between bytes, kilobytes, megabytes, gigabytes, terabytes, and petabytes.
Convert dates between different formats and see Unix timestamps, day of year, week number, and more.
Convert between kg/m³, g/cm³, g/mL, lb/ft³, lb/in³, and other density units.
Convert between volts, amps, ohms, watts, and calculate electrical relationships using Ohm's Law.
Convert between joules, kilojoules, calories, kilocalories, watt-hours, kilowatt-hours, and BTU.
Convert Fahrenheit to Celsius, Kelvin, and Rankine with exact formulas.
Convert between liters/min, gallons/min, cubic meters/hour, cubic feet/second, and other flow rate units.
Convert between newtons, kilonewtons, pound-force, kilogram-force, dyne, and kip force units.
Convert between hertz, kilohertz, megahertz, gigahertz, and RPM frequency units.
Convert between MPG, L/100km, km/L, and miles per imperial gallon fuel economy units.
Convert US gallons to liters, milliliters, quarts, and cups with exact conversion factors.
Convert grams to cups for common cooking ingredients like flour, sugar, butter, rice, oats, milk, water, and honey.
Convert grams to ounces, pounds, kilograms, and milligrams with exact conversion factors.
Convert RGB color values (0-255) to hexadecimal color codes, HSL, and CSS formats.
Chemistry55
Molarity, dilution, and pH calculators for chemistry students and lab workers.
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Calculate activation energy, rate constant, or temperature using the Arrhenius equation: k = A·exp(-Ea/RT).
Calculate rate constants, activation energy, or temperature using the Arrhenius equation k = Ae^(-Ea/RT). Supports single-point and two-point calculations.
Convert between moles, particles, and grams using Avogadro's number (6.022 × 10²³).
Calculate absorbance, concentration, molar absorptivity, or path length using the Beer-Lambert law: A = εbc. Also computes transmittance.
Calculate how much bleach to add to water for a desired sodium hypochlorite concentration. Supports household and industrial bleach strengths.
Calculate the boiling point elevation of a solution using ΔTb = i × Kb × m. Supports water, ethanol, benzene, and custom solvents.
Calculate pressure or volume changes using Boyle's Law (P₁V₁ = P₂V₂) for gases at constant temperature.
Calculate the pH of a buffer solution using the Henderson-Hasselbalch equation: pH = pKa + log([A⁻]/[HA]).
Calculate heat absorbed or released using q = mcΔT. Supports common substances with preset specific heat values.
Calculate volume or temperature changes using Charles's Law (V₁/T₁ = V₂/T₂) for gases at constant pressure.
Calculate boiling point elevation, freezing point depression, and vapor pressure lowering for solutions.
Determine the empirical formula of an organic compound from combustion analysis data (CO₂ and H₂O produced).
Convert between concentration units: molarity, mass percent, ppm, ppb, and mg/L. Uses molecular weight and solution density for accurate conversions.
Calculate total pressure or partial pressures of gas mixtures using Dalton's Law of Partial Pressures.
Calculate dilution using the C1V1 = C2V2 equation. Solve for any of the four variables.
Calculate the standard cell potential from half-cell reduction potentials: E°_cell = E°_cathode - E°_anode.
Determine the empirical formula of a compound from percent composition or mass data of its elements.
Calculate the heat of reaction (q = mcΔT), enthalpy change, or calorimetry results for chemical reactions.
Calculate entropy change (ΔS) for phase changes, temperature changes, and ideal mixing. Assess spontaneity using the second law of thermodynamics.
Calculate Kc, Kp, or convert between them. Find equilibrium constants from concentrations or pressures, and compute ΔG°.
Calculate the freezing point depression of a solution using ΔTf = i × Kf × m. Supports water, benzene, cyclohexane, and custom solvents.
Calculate the volume of a gas at STP or any temperature and pressure using the ideal gas law (PV = nRT).
Calculate Gibbs free energy using ΔG = ΔH - TΔS to determine reaction spontaneity.
Calculate remaining quantity, elapsed time, or half-life for radioactive decay using N = N₀ × (1/2)^(t/t½).
Calculate buffer pH using the Henderson-Hasselbalch equation: pH = pKa + log([A-]/[HA]). Determine pH from pKa and conjugate acid/base concentrations.
Calculate gas solubility in liquids using Henry's Law: C = k_H × P, where C is concentration and P is partial pressure.
Calculate pressure, volume, moles, or temperature using the ideal gas law PV = nRT.
Calculate individual ion concentrations and ionic strength from dissolved salts in solution.
Statistics61
Probability, combination, permutation, and z-score calculators for data analysis.
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Determine if your A/B test results are statistically significant using a two-proportion z-test.
Perform a one-way analysis of variance (ANOVA) using group summary statistics to test if group means differ significantly.
Calculate posterior probability using Bayes' theorem. Given prior probability, sensitivity, and false positive rate, find the updated probability.
Calculate binomial probabilities P(X = k), P(X ≤ k), and P(X ≥ k) for a given number of trials, successes, and probability of success.
Calculate the five-number summary, IQR, fences, and detect outliers from up to 10 data values for box-and-whisker plot construction.
Calculate the chi-square test statistic and approximate p-value for a goodness-of-fit or independence test with observed and expected frequencies.
Calculate the coefficient of variation (CV) to compare relative variability between data sets with different units or means.
Calculate the probability of getting a specific number of heads (or tails) in a series of coin flips, including biased coins.
Calculate nCr (combinations) and nPr (permutations) for any values of n and r.
Calculate confidence intervals for a population mean using sample statistics. Supports 90%, 95%, and 99% confidence levels.
Calculate the Pearson correlation coefficient (r) and R-squared from summary statistics to measure the linear relationship between two variables.
Calculate the covariance between two variables to measure how they change together, along with the correlation coefficient and direction of association.
Look up critical values for z, t, chi-square, and F distributions at common significance levels.
Calculate mean, median, mode, range, variance, standard deviation, and more from up to 10 data values.
Calculate the probability of rolling a specific sum with multiple dice. Supports 4, 6, 8, 10, 12, and 20-sided dice.
Calculate Cohen's d effect size to measure the practical significance of the difference between two group means.
Calculate the expected value (mean) of a discrete random variable from up to 6 outcome-probability pairs.
Calculate probabilities for the exponential distribution, modeling time between events. Find P(X < x), P(X > x), and the PDF value.
Model exponential growth or decay. Calculate final value, doubling/halving time, and period-by-period values.
Calculate the F-statistic and approximate p-value for comparing two sample variances using the F-test.
Perform Fisher's exact test on a 2x2 contingency table to test for association between two categorical variables.
Calculate the five-number summary (min, Q1, median, Q3, max) from a normal distribution using mean and standard deviation.
Group data into frequency classes. Calculate class width, boundaries, and expected frequencies for histogram construction.
Calculate the geometric mean of a set of positive numbers. Useful for growth rates, financial returns, and ratios.
Calculate the harmonic mean of positive numbers. Ideal for averaging rates, speeds, and ratios where the denominator varies.
Calculate hypergeometric probabilities for sampling without replacement. Find the probability of drawing exactly k successes.
Set up and evaluate a hypothesis test. Determine the test statistic, critical value, and conclusion for one-sample z-tests and t-tests.
Calculate the interquartile range (IQR), outlier fences, and spread measures from Q1 and Q3 values or from mean and standard deviation.