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Statistics Калькулятор

Вычислить various statistical metrics like mean, median, mode, variance, and standard deviation from a list of numbers.

Separate numbers with commas, spaces, or line breaks

Central Tendency

Mean

9.6522

The average value

Median

9

The middle value

Mode

5

Most frequent value(s)

Dispersion

Range

19

Max - Min

Variance

33.9660

Spread from the average

Standard Deviation

5.8280

Data concentration

Interquartile Range (IQR)

9.5000

Middle 50% spread

Shape of Distribution

Skewness

0.2315

Asymmetry of distribution

Kurtosis

-1.2321

Tailedness of distribution

Other Statistics

Minimum

1

Maximum

20

Sum

222

Count

23

Percentiles

25th Percentile

5

First Quartile

50th Percentile

9

Median

75th Percentile

14.5000

Third Quartile

About the Statistics Калькулятор

Understanding Central Tendency

Mean (Average)

The mean is the sum of all numbers divided by the count of numbers. It's the most common measure of the center of a dataset.

Median

The median is the middle value in a sorted list of numbers. It's less affected by outliers than the mean.

Mode

The mode is the number that appears most frequently in a list. A dataset can have one mode, more than one mode, or no mode.

Understanding Dispersion

Range

The range is the difference between the highest and lowest values, giving a simple measure of spread.

Variance

Variance measures how far each number in the set is from the mean. A high variance indicates that the numbers are very spread out.

Standard Deviation

This is the square root of the variance. It's a widely used measure of the amount of variation or dispersion.

Interquartile Range (IQR)

The IQR is the range of the middle 50% of the data. It's calculated as the difference between the 75th and 25th percentiles and is robust against outliers.

Understanding the Shape of Distribution

Skewness

Skewness describes the asymmetry of the data. A value of 0 indicates a symmetrical distribution. A positive value means a tail to the right, and a negative value means a tail to the left.

Kurtosis

Kurtosis is a measure of the 'tailedness' of the distribution. High kurtosis means more of the variance is due to infrequent extreme deviations, as opposed to frequent modest deviations.