- 17, 18, 18, 25, 32 The middle value is 18; hence, the median is 18.
- The value which occurs most often is 18, so the mode is 18.
- The range is 32 17 ¼15.
- Follow these steps:
Find the mean. It is 22, as found in answer 1.
Subtract the mean from each data value:
32 22 ¼ 10
25 22 ¼ 3
18 22 ¼ 4
18 22 ¼ 4
17 22 ¼ 5
Square the differences:
102 ¼ 100
32 ¼ 9
ð 4 Þ^2 ¼ 16
ð 4 Þ^2 ¼ 16
ð 5 Þ^2 ¼ 25
Find the sum of the differences:
100 þ 9 þ 16 þ 16 þ 25 ¼ 166
Divide the sum by 4:
166
4
¼ 41 : 5
Find the square root of 41.5:
ffiffiffiffiffiffiffiffiffi
41 : 5
p
¼ 6 : 44
282 LESSON 23 Word Problems in Statistics