Question

Problem 1 Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are given in the table below. # of movies Frequency Relative Frequency Cumulative Relative Frequency Complete the following, entering fractions or decimal values with accuracy to nearest 0.01 a. (10%) Give the sample mean: I = b. (10%) Give the sample standard deviation: $ = c(10%) Construct histogram 0.00 0.00 0.00 0.00 0.00

Answer 1

Solving first 4 as per HOMEWORKLIB POLICY. Please post rest in a separate question. Thank you.

A. Sample mean would be the total movies watched/25

=0*3+1*4+2*3+3*8+4*7/25

=0+4+6+24+28/25

=62/25

=2.48

B. Standard deviation of a population is given by

- ΗΣΟι – μ)

where mu is mean of the population, N is the number of populatio. Putting values in and calculating, we get

standard deviation=1.36

C. The histogram has been created below

Frequency 3 1 2 3 No of movies watched

D.

The table has been filled below. Explanation follows

No of movies	Frequency	Relative Frequency	Cumulative Relative Frequency
0	3	0.12	0.12
1	4	0.16	0.28
2	3	0.12	0.4
3	8	0.32	0.72
4	7	0.28	1

Relative frequency=frequency of current number/total frequency (which is 25 in our case)

Cumulative Relative Frequency=sum of all relative frequencies till that number.