Question

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Answer 1

17

The range is the difference of the greatest and smallest numbers:

• 5 - (-5) = 10

18

Semi-interquartile of the range is:

• (Q3 - Q1)/2 = 12

Since Q1 = 15, find Q3:

• Q3 - 15 = 2*12
• Q3 = 24 + 15 = 39

Note. Probably the numbers mixed up in the question.

If we swap them:

• Q3 = 2*15 + 12 = 42 would be the correct answer.

19

Given data:

• 3, 5, 7, 9, 11

The mean:

• (3 + 5 + 7 + 9 + 11)/5 = 7

Variance, the average of the squared differences from the mean:

• [(3 - 7)² + (5 - 7)² + (7 - 7)² + (9 - 7)² + (11 - 7)²]/5 = 8