Công cụ Thống kê
Bộ công cụ chuyên nghiệp cho phân tích dữ liệu và tính toán thống kê.
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.
Máy tính độ lệch chuẩn tương đối
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.
Máy tính độ lệch chuẩn có trọng số
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.
Máy tính độ lệch chuẩn gộp
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.
Máy tính độ lệch chuẩn tổng thể
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.
Máy tính độ lệch chuẩn mẫu
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.
Phát hiện Ngoại lai
Phát hiện giá trị ngoại lai bằng phương pháp IQR, điểm Z và điểm Z hiệu chỉnh (MAD).
Máy tính Cỡ mẫu
Xác định cỡ mẫu cần thiết cho khảo sát và thí nghiệm với mức tin cậy và biên sai số.
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.
Máy tính Tương quan
Tính hệ số tương quan Pearson và Spearman, hiệp phương sai và phân tích hồi quy tuyến tính.
Máy tính Phân vị
Tính phân vị, tứ phân vị, thập phân vị và khoảng tứ phân vị với biểu đồ phân phối.
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.
Máy tính Trung bình
Tính trung bình cộng, hình học, điều hòa, trung vị, yếu vị, trung bình cắt và RMS từng bước.
Thống kê Mô tả
Xem tóm tắt thống kê đầy đủ gồm trung bình, trung vị, yếu vị, khoảng biến thiên và tứ phân vị.
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.
Phân phối Xác suất
Trực quan hóa và tính xác suất cho phân phối chuẩn, nhị thức và các phân phối khác.
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.
Máy tính Điểm Z
Chuyển đổi điểm thô thành điểm Z chuẩn hóa và tính xếp hạng phân vị.
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.
Máy tính Phương sai
Tính phương sai của bộ dữ liệu với giải thích từng bước chi tiết.