Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the range and interquartile range.

Solution:

Given data 10, 20, 12, 17, and 16.

Range means the difference between the largest value and the smallest value

Here the largest value is 20 and the smallest value is 10

Range = 20 - 10 = 10

Q1: It is the data point located midway between the median and the smallest number of the given data. It divided the data at the 25% mark

Q1 = 10 + 12 / 2 = 11

Q3: It is the data point located midway between the median and the highest number of the given data. It divides the data at the 75% mark.

Q3 = 17 + 20 / 2 = 18.5

An interquartile range is a measure of where the bulk of the values lie.

IQR = Q3 - Q1 = 7.5

Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the range and interquartile range.

Summary:

Considered a sample with data values of 10, 20, 12, 17, and 16, the range is 10 and interquartile Range is 7.5.