What is the interquartile range of the data set 2,5,9,11,18,30,42,48,55,73,81

79

Step-by-step explanation:

To find the interquartile range, subtract the highest value from the lowest value.

The highest value is 81 and the lowest is 2 so you would have to subtract 81 by 2.

81-2=79

46

Step-by-step explanation:

The interquartile range is the difference between the upper quartile and the lower quartile.

The data must be in ascending order which it is.

First find the median which is the middle value of the data set

2, 5, 9, 11, 18, 30, 42, 48, 55, 73, 81

↑ median = 30

The upper and lower quartiles are positioned at the middle of the data to the right and left of the median.

2, 5, 9, 11, 18, 30, 42, 48, 55, 73, 81

↑ ↑

upper quartile = 55 and lower quartile = 9

Interquartile range = 55 - 9 = 46