Question

The Los Angeles Times regularly reports the air quality index for various areas of Southern California. A sample of air quality index values for Pomona provided the following data: 28, 42, 58, 48, 45, 55, 60, 49, and 50.

Compute the range and interquartile range.

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To calculate the range and interquartile range we need to arrange the data in ascending order as follows:

28424548495055586028 \quad 42\quad45\quad48\quad49\quad50\quad55\quad58\quad60

First, we will calculate the Range as follows:

 Range = Largest value  Smallest value =6028=32\text { Range }=\text { Largest value }-\text { Smallest value } =60-28=32

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