7.04 Range and interquartile range (IQR)

Find the range of the following sets of scores:

Which sets of data have the same range?

• Set A: \, 3, \, 10, \, 12, \, 20, \, 24

• Set B: \, 8, \, 21, \, 34, \, 61

• Set C: \, 16, \, 25, \, 33

• Set D: \, 1, \, 11, \, 20, \, 22

Which set of data has the smallest range?

• Set A: \, 13, \, 16, \, 19, \, 21, \, 24

• Set B: \, 15, \, 24, \, 50, \, 58

• Set C: \, 6, \, 8, \, 16, \, 35, \, 40

• Set D: \, 8, \, 14, \, 19, \, 24, \, 28

Which set of data has the largest range?

• Set A: \,101,\, 105,\, 118,\, 129,\, 136

• Set B: \,19,\, 23,\, 25,\, 28,\, 29

• Set C: \,22,\, 25,\, 43,\, 45,\, 57

• Set D: \,104,\, 107,\, 113,\, 128,\, 141

A group of students had a range in scores of 14 and the least score was 9. Find the greatest score in the group.

The range of a set of scores is 8, and the greatest score is 19. Find the least score in the set.

Here are Paul's scores from his last 13 rounds of golf played:64, \, 66, \, 68, \, 70, \, 72, \, 74, \, 78, \, 84, \, 102, \, 106, \, 112, \, 124, \, 128

Here are Adam's scores from his last 17 exams:38, \, 44, \, 48, \, 51, \, 56, \, 58, \, 62, \, 70, \, 74, \, 78, \, 80, \, 82, \, 85, \, 88, \, 92, \, 94, \, 100

Consider the following set of scores:

33,\, 38,\, 50,\, 12,\, 33,\, 48,\, 41

Consider the following set of scores:

13,\, 15,\, 5,\, 16,\, 7,\, 20,\, 12

In a competition, a contestant must complete 12 challenges earning as many points as possible. Her scores for the first 11 challenges are:

32,\, 38,\, 45,\, 55,\, 66,\, 86,\, 94,\, 98,\, 106,\, 108,\, 117

Find her score in the 12th round if the lower quartile of all of her 12 scores is 47.5.