Enter numbers to instantly calculate Mean, Median, Mode, Standard Deviation, Variance, Quartiles & 20+ statistics with interactive charts.
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Averages and related statistics appear constantly in everyday life — calculating a student's grade point average, analyzing monthly sales figures, tracking employee performance, or understanding survey results. This tool goes far beyond a simple mean calculator and provides a complete statistical summary: 20+ statistics including Mean, Median, Mode, Standard Deviation, Variance, Geometric Mean, Harmonic Mean, Weighted Average, Quartiles, IQR, Percentiles, and Mean Absolute Deviation — all in one place, instantly, without any signup or installation.
The Mean (arithmetic average) is the sum of all values divided by the count. It's the most familiar form of average and works well when data is evenly distributed without extreme outliers. The Median is the middle value in a sorted list, making it resistant to skewing by unusually high or low values — this is why median household income is considered a better economic indicator than mean income. The Mode is the most frequently occurring value, useful in retail (most popular price point), education (most common score), and manufacturing (most common defect type).
Advanced statistics like Standard Deviation and Variance measure how spread out data is from the mean. A low standard deviation means values cluster tightly; a high one means they are widely dispersed. These are essential in quality control, financial risk assessment, academic research, and scientific measurement. Geometric Mean is ideal for growth rates, investment returns, and compound interest calculations, because it correctly handles multiplicative relationships. Harmonic Mean works best for rates and speeds — for example, if you drive 60 km/h one way and 40 km/h on the return trip, harmonic mean gives the correct average speed.
Quartiles divide sorted data into four equal parts. Q1 (25th percentile) marks the lower quarter, Q2 is the median, and Q3 (75th percentile) marks the upper quarter. The Interquartile Range (IQR = Q3 − Q1) represents the middle 50% of data and is the standard method for detecting outliers in a dataset. Any value more than 1.5 × IQR above Q3 or below Q1 is conventionally considered an outlier.
The Weighted Average feature is particularly useful when different values should contribute differently to the overall average. Classic examples: calculating a final exam grade where different components carry different weights (assignments 20%, midterm 30%, final 50%), calculating portfolio returns where stocks have different capital allocations, or computing a weighted GPA where different subjects carry different credit hours.
This tool also includes interactive Histogram and Bar Chart visualizations that update automatically as you enter data. The histogram groups values into bins and shows distribution, helping you identify skewness, bimodal distributions, and outliers visually. Charts can be combined with export to CSV for further analysis in Excel or Google Sheets.
For competitive exam aspirants, teachers, and students: use this tool to instantly find mean marks, identify the modal score, understand the spread of performance via standard deviation, and detect outliers in test results. For business professionals: analyze sales data, find median transaction values, and export results as CSV for reporting. For researchers: get complete descriptive statistics for small datasets without needing Python, R, or Excel's data analysis toolpak.
All calculations happen entirely in your browser. Your data is never transmitted to any server. The last 20 calculations are saved locally in your browser using LocalStorage, so you can refer back to previous results without recalculating. You can clear this history anytime with one click.
Averages और related statistics रोज़मर्रा की ज़िंदगी में हर जगह काम आती हैं — किसी student का grade point average calculate करना, monthly sales figures analyze करना, employee performance track करना, या survey results समझना। यह tool एक simple mean calculator से कहीं आगे जाता है और 20+ statistics का complete statistical summary देता है: Mean, Median, Mode, Standard Deviation, Variance, Geometric Mean, Harmonic Mean, Weighted Average, Quartiles, IQR, Percentiles, और Mean Absolute Deviation — सब कुछ एक जगह, तुरंत, बिना किसी signup या installation के।
Mean (arithmetic average) सभी values का योग count से भाग देने पर आता है। यह average का सबसे familiar रूप है और तब अच्छा काम करता है जब data evenly distributed हो और extreme outliers न हों। Median sorted list में बीच की value है, जो असामान्य रूप से ऊँची या नीची values से skewing के प्रति resistant है। Mode सबसे बार आने वाली value है — retail में सबसे popular price point, education में सबसे common score, manufacturing में सबसे common defect type जानने के लिए उपयोगी।
Standard Deviation और Variance यह मापते हैं कि data mean से कितना spread है। Quality control, financial risk assessment, academic research, और scientific measurement में ये essential हैं। Geometric Mean growth rates, investment returns, और compound interest calculations के लिए ideal है। Harmonic Mean rates और speeds के लिए सबसे अच्छा है।
Quartiles sorted data को चार equal parts में divide करते हैं। Q1 (25th percentile) lower quarter, Q2 median, और Q3 (75th percentile) upper quarter। IQR (Q3 − Q1) middle 50% data represent करता है और outliers detect करने का standard तरीका है।
Weighted Average feature तब काम आता है जब अलग-अलग values को overall average में अलग-अलग importance मिलनी चाहिए — जैसे final exam grade calculate करना जहाँ assignments 20%, midterm 30%, final 50% weight रखते हों।
यह tool interactive Histogram और Bar Chart visualizations भी include करता है जो data enter करते ही automatically update होते हैं। Histogram values को bins में group करके distribution दिखाता है — skewness, bimodal distributions, और outliers visually identify करने में मदद करता है।
सभी calculations पूरी तरह आपके browser में होती हैं। आपका data कभी किसी server को नहीं भेजा जाता। अंतिम 20 calculations browser के LocalStorage में locally save होती हैं — आप पिछले results को बिना दोबारा calculate किए देख सकते हैं।