MathsInterquartile Range – Definition, Example, Formula and Importance

Interquartile Range – Definition, Example, Formula and Importance

What Does Interquartile Range Mean?

Interquartile Range (IQR) is a measure of spread that is used to describe the distribution of a dataset. It is calculated by taking the 75th percentile and the 25th percentile, and then subtracting the 25th percentile from the 75th percentile. This gives you the IQR, which is a measure of the variability of the data.

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    What Does Interquartile Range Mean?

    Interquartile Range (IQR) is a measure of statistical dispersion, which is used to indicate the variability of a dataset. It is calculated by subtracting the 25th percentile from the 75th percentile, and then dividing the result by 3.

    The IQR can be used to identify the outliers in a dataset, as it measures the distance between the two quartiles.

    Interquartile range Definition and Example

    The interquartile range is the difference between the 75th and 25th percentile of a data set. For example, the interquartile range of the set {1, 2, 3, 4, 5, 6, 7} is 3 (5-2).

    Inter-Quartile Example on the Basis of the Above Definition

    The inter-quartile range can be used to measure the spread of a set of data. It is the distance between the first and third quartiles of a data set. The inter-quartile range can be used to identify outliers in a data set.

    The inter-quartile range of a set of data is 9.

    The first quartile is the 25th percentile of the data set. The third quartile is the 75th percentile of the data set.

    The inter-quartile range is 9. The first quartile is 4. The third quartile is 13.

    Interquartile Range Formula

    The interquartile range (IQR) is a measure of the variability of a set of data. The IQR is the difference between the 75th percentile and the 25th percentile.

    How to Calculate The Interquartile Range?

    To calculate the interquartile range, first find the median and the quartiles. The median is the middle number in a set of numbers, and the quartiles are the numbers that divide the set of numbers into four equal parts.

    Once you have the median and the quartiles, subtract the lower quartile from the upper quartile. This will give you the interquartile range.

    Interquartile Range Example

    The interquartile range for the following set of data is 3.

    2, 4, 6, 8, 10

    The first quartile is 2 and the third quartile is 10. The interquartile range is 3.

    Why is Interquartile Range Important?

    The interquartile range is a measure of the variability of a set of data. It is a more robust measure of variability than the standard deviation, and is less affected by outliers. The interquartile range can be used to identify the middle 50% of a data set, and can be used to compare two or more data sets.

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