Question

Find the interquartile range for a data set having the five-number summary: 5.6, 11.1, 19.2, 24.5, 33.3

Answer 1

The interquartile range for the given data set is 13.4.

Step-by-step explanation:

The interquartile range (IQR) is a measure of statistical dispersion, representing the range of the middle 50% of a dataset. Calculated as the difference between the third quartile (Q3) and the first quartile (Q1), IQR helps identify the spread of values while minimizing the impact of outliers in a dataset.

The data = 5.6, 11.1, 19.2, 24.5, 33.3

The interquartile range (IQR) is calculated by subtracting the first quartile (Q1) from the third quartile (Q3).

In this case, the first quartile is 11.1 and the third quartile is 24.5.

So, the IQR will be

= 24.5 - 11.1

= 13.4.

Answer 2

interquartile range=20.55

Step-by-step explanation:

5.6, 11.1, 19.2, 24.5, 33.3

median is 19.2

Q1=(5.6+11.1)/2=8.35

Q3=(24.5+33.3)/2=28.9

interquartile range= Q3-Q1=28.9-8.35=20.55