Question

the data represents the heights of fourteen basketball players, in inches. 69, 70, 72, 72, 74, 74, 74, 75, 76, 76, 76, 77, 77, 82 if the highest and lowest numbers were dropped to form a new set of data how would the interquartile range of the new set compare to the interquartile range of the original set? the interquartile range of the new set would be_______________the interquartile range of the original set. a. the same as b. one less than c. one more than

Answer 1

If you would like to know the interquartile range of the new set and the interquartile range of the original set, you can do this using the following steps:

The interquartile range is the difference between the third and the first quartiles.

The original set: 69, 70, 72, 72, 74, 74, 74, 75, 76, 76, 76, 77, 77, 82
Lower quartile: 72
Upper quartile: 76.25
Interquartile range: upper quartile - lower quartile = 76.25 - 72 = 4.25

The new set: 70, 72, 72, 74, 74, 74, 75, 76, 76, 76, 77, 77
Lower quartile: 72.5
Upper quartile: 76
Interquartile range: upper quartile - lower quartile = 76 - 72.5 = 3.5

The correct result would be: The interquartile range of the new set would be 3.5. The interquartile range of the original set would be more than the new set.