Question 1

What is the difference between mean, median and mode?

Accepted Answer

Mean: sum divided by count. Example: 2+4+6 = 12 / 3 = 4. Median: middle value when sorted. Example: 1,3,9 -> median is 3. Mode: most frequent value. Example: 1,2,2,3 -> mode is 2. Use mean for symmetric data, median when outliers exist, mode for categorical data.

Question 2

How is standard deviation calculated?

Accepted Answer

Population standard deviation formula: (1) Calculate mean. (2) For each value: subtract mean, square the result. (3) Average those squared differences (variance). (4) Take square root = standard deviation. Example: dataset 2,4,4,4,5,5,7,9 has mean=5 and std deviation=2. A low std deviation means values cluster near the mean; high means they are spread out.

Question 3

What is variance and how does it differ from standard deviation?

Accepted Answer

Variance is the average of squared differences from the mean. Standard deviation is the square root of variance. Variance is useful in statistical formulas and ANOVA; standard deviation is more interpretable because it uses the same units as the original data. Example: if your dataset is in kilograms, variance is in kg-squared, standard deviation is in kg.

Question 4

How many numbers can this calculator handle?

Accepted Answer

There is no hard limit — the calculator runs entirely in your browser using JavaScript and can handle thousands of numbers. For very large datasets (10,000+ numbers), processing may take a moment. Decimal numbers are fully supported. Separate values with commas, spaces, semicolons or new lines.

Average Calculator

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Average Calculator

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