Question

In the data set below, what is the interquartile range?
23 58 58 64 76 87

Answer 1

44

Explanation:

First, we need to find the median in the data set.

It's between 58 and 64. To find the median, we add those two numbers and then divide by 2.

58 + 64 = 122

122 ÷ 2 = 61 (Mark this point in between the numbers on the data set)

median = 61

23, 58, 58, | 64, 76, 87

Now that we have the median, we have to find the upper quartile and the lower quartile in order to find the interquartile range.

Lets find upper quartile first. In order to do that, add up all the numbers to the right of the data set from the median point, then divide by 2.

64 + 76 + 87 = 227

227 ÷ 2 = 113.5

The same goes for the lower quartile (to the left).

23 + 58 + 58 = 139

139 ÷ 2 = 69.5

Lastly, to find the interquartile range, simply subtract the lower quartile from the upper quartile.

113.5 - 69.5 = 44

Therefore interquartile range = 44.

sorry if Im wrong

Answer 2

Answer: IQR= 18

Explanation:

First, you need to put the numbers in order from least to greatest, which they already are.

23, 58, 58, 64, 76,87

then, you draw an imaginary line down the middle of the numbers (between 58 and 64), and then you find the number in the middle of these. The Q1 is 58, and the Q3 is 76. In order to find the Interquartile range (IQR), you simply subtract the two.

76-58= 18

And you have your answer

Hope this helps!