Question

04 Categorical Variables: Problem 16

 Complete the table below 

Books read within the past year	Frequency	Relative Frequency	Cumulative Frequency
none	6
1-5		0.216216216216216
6-10	16
11-15		0.162162162162162
16-20	14
21-25	10
Total		1

Note: You can ean partial credit on this problem. 

Answer 1

Let N shows the total of frequency. The frequencies for interval 1-5 and 11-15 are 0.216216216216216N and 0.162162162162162N respectively.

Now,

6+ 0.216216216216216N +16+0.162162162162162N+14+10 = N

0.621621621621622N = 46

N = 46 / 0.621621621621622 = 73.999999999999954956521739130462

That in N is 74.

Now frequency for interval 1-5 is

0.216216216216216 *74 = 15.999999999999984

That is frequency of the interval 1-5 is 16.

Now frequency for interval 11-15 is

0.162162162162162*74 = 11.999999999999988

That is frequency of the interval 11-15 is 12.

Following is the completed table: