Question

A distribution has the five-number summary shown below What is the interquartile range (IQR) of this distribution? 28, 34, 43, 59, 62

Answer 1

59

Explanation:

the answer is

59

Answer 2

The IQR of the given distribution is 29.5.

Explanation:

The given distribution has the five-number

28, 34, 43, 59, 62

Divide these numbers in two equal parts.

(28, 34), 43,( 59, 62)

Now divide each parenthesis in two equal parts.

(28), (34), 43,( 59), (62)

It means first quartile is the average of 28 and 34. Third quartile is the average of 59 and 62.

`Q_1=(28+34)/(2)=31`

`Q_3=(59+62)/(2)=60.5`

The interquartile range (IQR) of this distribution is

`IQR=Q_3-Q_1`

`IQR=60.5-31=29.5`

Therefore the IQR of the given distribution is 29.5.