How to calculate the interquartile range.

sorrowandsongto

sorrowandsongto

Answered question

2022-10-28

How to calculate the interquartile range.

Answer & Explanation

ipa1rafd

ipa1rafd

Beginner2022-10-29Added 11 answers

For example, if your data set was:
1,4,7,10,14,17,18
10 would be your median because it is in the middle.
The lower quartile range would be set out like this:
1,(4),7
4 is your lower quartile because it is in the middle of the lower quartile.
The upper quartile range would be set out like this:
14,(17),18
17 is your upper quartile because it is in the middle of the upper quartile.To find the interquartile range (IQR), ​first, find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.
What is the interquartile formula?
The formula for finding the interquartile range takes the third quartile value and subtracts the first quartile value. IQR = Q3 – Q1. Equivalently, the interquartile range is the region between the 75th and 25th percentile (75 – 25 = 50% of the data).

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