Adistribution has the five-number summary shown below. what is the
interquartile range (iqr) of this distribution?
24, 36, 42, 57, 65

The interquartile range(IQR) is 31.

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.

24, 36, 42, 57, 65.

Q1 =

Q1 =

Q1 =

Quartile 3 is the average of last half.

24, 36, 42, 57, 65.

Q3 =

Q3 =

Q3 =

Thus, by putting the formula we get IQR:

IQR = Q3 - Q1.

Therefore, the interquartile range(IQR) is 31.

the first dot plot best represents the data

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