統計計算工具
專業級數據分析與統計運算工具組合。
How the Calculator Directory Is Organized
Standard deviation is a measure of spread, variance refers to average squared deviation, and confidence intervals are range estimates around a parameter. Grouping these calculators together helps readers move from a basic descriptive metric to a broader workflow for summarizing uncertainty and variation.
| Calculator family | What it answers | Typical user |
|---|---|---|
| Dispersion | How spread out are the values? | Students, analysts, quality teams |
| Location | Where is the center of the data? | Researchers, operations teams |
| Inference | How uncertain is the estimate? | Decision-makers and report writers |
Available Calculators
Cohen's d Effect Size Calculator Helper
Use this calculator to summarize each group from raw data before computing Cohen's d. Get the mean, sample standard deviation, and sample size inputs needed for two-group effect size reporting.
Standard Deviation Calculator for Large Datasets
Calculate standard deviation for large pasted datasets from spreadsheets, lab exports, or analytics samples. Built for QC engineers reviewing 1,000-50,000 batch measurements, researchers cleaning survey exports, and analysts spot-checking sample vs population SD before moving into variance, z-score, confidence interval, CSV data, or outlier workflows.
Standard Deviation Calculator for CSV Data
Calculate standard deviation from CSV-style data by pasting numeric columns, rows, or exported values into the calculator. Built for QC engineers analyzing 20-100 batch SPC measurements, classroom researchers checking survey exports, and analysts moving from Excel, Google Sheets, or a CSV file into sample SD, population SD, variance, mean, standard error, range, z-score, confidence interval, and outlier workflows.
Batting Average Calculator
Calculate batting average from raw hit results online. Enter plate appearance outcomes as hits and outs to get batting average plus mean, variance, standard deviation, count, and range for lineup and game-by-game analysis.
Weighted Average Calculator
Calculate the average and spread of weighted data by entering raw values or frequency-expanded repeated values. Use the results with mean, variance, standard deviation, standard error, count, min, max, and range for quick statistics checks.
T-Test Calculator Helper
Prepare the summary statistics needed before a one-sample or two-sample t-test. Built for lab analysts, classroom researchers, and QC engineers reviewing 20-100 measurements who need mean, sample standard deviation, standard error, and sample size before moving into p-value, confidence interval, or pooled standard deviation workflows.
Critical Value Calculator Helper
Prepare the summary statistics needed before looking up a z critical value or t critical value. Built for analysts, instructors, and QC engineers checking 20-100 raw measurements who need mean, sample standard deviation, standard error, and sample size before moving into p-value, confidence interval, margin of error, or t-test workflows.
P-Value Calculator Helper
Use the calculator to summarize raw sample data before computing a p-value. Get the mean, sample standard deviation, standard error, sample size, and z-score or t-test inputs needed for hypothesis testing, confidence intervals, and significance checks.
Margin of Error Calculator
Calculate the mean, sample standard deviation, and standard error from raw data online to support margin of error checks, confidence interval setup, and sample size planning.
Min Max Calculator
Calculate the minimum and maximum of your dataset from raw values online. Instantly get min, max, range, mean, variance, standard deviation, and standard error in one workflow.
Range Calculator
Calculate the range of your data from raw values online. Instantly get minimum, maximum, range, mean, variance, standard deviation, and standard error in one workflow.
Grade Average Calculator
Calculate a grade average from raw scores online. Enter test, quiz, homework, or assignment grades to get the mean plus standard deviation, variance, standard error, count, min, max, and range in one workflow.
Mean and Standard Error Calculator
Calculate the sample mean and standard error from raw data online. Enter your values to get the average, sample standard deviation, standard error of the mean, variance, count, min, max, and range in one workflow.
Mean and Standard Deviation Calculator
Calculate mean and standard deviation from raw data online. Enter your values to get the average, sample standard deviation, standard error, variance, and range in one workflow.
Mean and Variance Calculator
Calculate mean and variance from raw data online. Enter your values to get the average, sample variance, population variance, standard deviation, standard error, and range in one workflow.
Standard Deviation and Standard Error Calculator
Calculate standard deviation and standard error from raw data online. Enter your values to get sample SD, population SD, variance, mean, count, min, max, and range in one workflow.
Confidence Interval Standard Deviation Calculator
Calculate mean, sample standard deviation, and standard error from raw data online. Use the results for confidence interval setup, spread checks, and faster statistical interpretation.
Standard Error of the Mean Calculator
Calculate the standard error of the mean (SEM) from raw sample data online. Enter your values to get sample standard deviation, sample size, mean, and SEM for faster confidence interval and hypothesis test work.
相對標準偏差計算器
Calculate the relative standard deviation (RSD) of your dataset online. Enter raw values or provide the mean and standard deviation to instantly compute RSD% and coefficient of variation.
加權標準差計算器
Calculate the weighted standard deviation for your data set with our free online calculator. Enter your values and weights to get instant results, including the formula and step-by-step calculations.
合併標準差計算器
Calculate the pooled standard deviation for two or more groups instantly. Enter your sample sizes, means, and standard deviations to get precise results with step-by-step explanations.
Frequency Table Standard Deviation Calculator
Calculate standard deviation from a frequency table by entering each value repeated by its count, then use the calculator results for sample or population SD, variance, mean, standard error, range, z-score, and confidence interval workflows. Built for QC engineers analyzing 20-100 batch SPC measurements, instructors summarizing score counts, and analysts converting discrete frequency tables into report-ready statistics.
Grouped Data Standard Deviation Calculator
Use this grouped-data standard deviation helper after converting class intervals to midpoints and expanding each midpoint by its frequency. Built for QC engineers analyzing 20-100 batch SPC readings, instructors summarizing score bands, and analysts moving grouped frequency tables into sample or population SD, variance, mean, standard error, range, z-score, and confidence interval workflows.
母體標準差計算器
Calculate the population standard deviation of your dataset instantly. Eliminate manual math errors and quickly determine the exact spread of your entire population for confident analysis.
樣本標準差計算器
Compute the sample standard deviation of any data set instantly. Accurately measure your sample's data spread to make confident statistical inferences without manual formula errors.
離群值偵測
使用 IQR 法、Z 分數法及修正 Z 分數（MAD）法偵測離群值，並以圖形標示。
樣本數計算器
根據信賴水準與誤差範圍，決定調查與實驗所需的樣本數量。
Linear Regression Calculator Helper
Prepare the summary statistics used before simple linear regression or residual checks. Built for analysts, students, and QC engineers reviewing 20-100 paired observations who need mean, standard deviation, variance, standard error, count, min, max, range, and links into correlation, z-score, confidence interval, and residual standard deviation workflows.
相關係數計算器
計算皮爾森與斯皮爾曼相關係數、共變異數，以及線性迴歸分析。
百分位數計算器
計算百分位數、四分位數、十分位數與四分位距，並以圖表呈現數據分布。
Mean, Variance, and Standard Deviation Calculator
Calculate mean, variance, and standard deviation from raw data online. Enter your values to get the average, sample or population variance, standard deviation, standard error, count, min, max, and range in one workflow.
Mean and Variance Calculator
Calculate mean and variance from raw data online. Enter your values to get the average, sample variance, population variance, standard deviation, standard error, and range in one workflow.
平均數計算器
計算算術平均、幾何平均、調和平均、中位數、眾數、截尾平均及均方根值，附逐步解題過程。
描述統計
取得完整的統計摘要，包含平均數、中位數、眾數、全距與四分位數。
Binomial Distribution Calculator Helper
Prepare the summary statistics needed for binomial distribution work from raw success/failure or count data. Built for A/B test analysts, QC engineers checking 20-100 pass/fail inspections, and instructors moving from observed trials into n, p, mean, variance, standard deviation, standard error, probability distribution, or z-score workflows.
機率分布
視覺化呈現並計算常態分布、二項式分布等統計分布的機率。
Normal Distribution Calculator Helper
Prepare the mean and standard deviation inputs needed for normal distribution analysis from raw data. Built for QC engineers analyzing 20-100 batch SPC measurements, instructors grading bell-curve exams, and analysts moving into z-score, empirical rule, percentile, probability distribution, or confidence interval workflows.
Test Score Standard Deviation Calculator
Calculate standard deviation for test scores from raw results online. Enter exam, quiz, or assessment scores to get mean, sample or population SD, variance, standard error, count, min, max, and range in one workflow.
Z-Score Standard Deviation Calculator
Prepare the mean and standard deviation inputs needed for z-score work from raw data. Built for teachers checking class scores, QC engineers reviewing 20-100 part measurements, and analysts moving from a dataset summary into z = (x - mean) / SD, percentile, or outlier checks.
Z 分數計算器
將原始分數轉換為標準化 Z 分數，並計算百分位排名。
Sample Variance Calculator
Calculate sample variance from raw data online. Use sample mode to get s^2 with mean, standard deviation, standard error, and range.
Population Variance Calculator
Calculate population variance from raw data online. Enter your full population values to get sigma^2, population standard deviation, mean, count, min, max, and range in one workflow.
Variance and Standard Deviation Calculator
Calculate variance and standard deviation from raw data online. Enter your values to get sample variance, population variance, sample SD, population SD, mean, standard error, count, min, max, and range in one workflow.
變異數計算器
計算數據集的變異數，提供詳細的逐步拆解與結果解讀。