Answer:
The interquartile range(IQR) is <u>31</u>.
Step-by-step explanation:
Given:
A distribution has the five-number summary shown below:
24, 36, 42, 57, 65.
Now, to find the interquartile range (IQR).
So, to get the IQR we need to find the quartile 1 and quartile 3:
As, 42 is the median.
Quartile 1 is the average of first half.
<u>24, 36</u>, 42, 57, 65.
Q1 =
Q1 =
Q1 =
Quartile 3 is the average of last half.
24, 36, 42, <u>57, 65</u>.
Q3 =
Q3 =
Q3 =
Thus, by putting the formula we get IQR:
IQR = Q3 - Q1.
Therefore, the interquartile range(IQR) is 31.