1. A movie was rated "unsuitable for under 15". The table shows the age distribution of those who attended one Saturday. What is the age and standard deviation of the distribution.

Solution

Construct a cumulative frequency table as shown below

AGE

15-19

20-24

25-29

30-34

35-39

40-44

45-49

FREQ

8

10

16

26

22

12

6

CLASS x d=x-A f fd d2 fd2
15-19 17 -15 8 225
20-24 22 10 1000
25-29 27 -5 16 25
30-34 32 0 26 0 0
35-39 37 5 22 550
40-44 42 10 12
45-49 47 6 1350
fd= fd2=