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    home / math / mean, median, mode, range calculator

    Mean, Median, Mode, Range Calculator

    The Mean, Median, Mode, Range Calculator finds the average, middle value, most common value and spread of a set of numbers.

    ▼Modify the values and click the Calculate button to use

    Results

    Mean22.142857
    Median23
    Mode38, 23 (appears 2 times)
    Range36
    Minimum2
    Maximum38
    Count7
    Sum155
    QuartilesQ1 15.5, Q3 30.5
    Sorted2, 10, 21, 23, 23, 38, 38

    Mean

    The mean, or arithmetic average, is the sum of the values divided by how many there are. For 10, 2, 38, 23, 38, 23, 21: sum 155 ÷ 7 = 22.142857.

    Median

    The median is the middle value when the numbers are sorted. Sorted: 2, 10, 21, 23, 23, 38, 38; the median is 23. With an even count it is the average of the two middle values.

    Mode

    The mode is the value that appears most often. Here both 23 and 38 appear twice, so the set is bimodal. If every value appears once, there is no mode.

    Range

    The range is the largest value minus the smallest: 38 − 2 = 36. It is a quick measure of spread but sensitive to extreme values; the standard deviation (see the Statistics Calculator) is more robust.

    Which average to use

    Use the mean for symmetric data without outliers, the median for skewed data such as house prices and salaries, and the mode for categories or the most popular choice.

    Frequently asked questions

    Can the mean be a decimal when all values are whole? Yes.

    What if I have negative numbers? They work normally.

    Is the median always one of the values? Only with an odd count.

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