Q. 3.153 - Elementary Statistics

Question

Regarding the interquartile range,

(a) What type of descriptive nature is it?

(b) What does it measure?

Step-by-Step Solution

Answer

(a) The interquartile range is the difference between the first quartile and third quartile.

(b) The interquartile range is a measure of variability.

Part (a) Step 1: Given Information

We have to find out the descriptive nature of interquartile range.

Part (a) Step 2: Explanation

The interquartile range is known as the difference of first quartile and third quartile. It is the range of values that resides in the middle of the values.

Interquartile range= third quartile-first quartile

where $Q_3$ is third quartile and $Q_1$ is first quartile.

Part (b) Step 2: Given Information

We have to find out that what does interquartile range measures.

Part (b) Step 2: Explanation

The interquartile range measures the variability.

The variability is based on splitting data into quartiles and it tells about how the middle half of the distribution is spread in data set.