Question

The following data for ages of 25 drivers how responded to a call to raising in the Rally of Kingdom last year, complete the following table to prepare a
- frequency distribution table

- Cumulative frequency

- Relative frequency

- Cumulative relative frequency of driver’s ages

- Find the percent of drivers less than 28 year.

- Find the percent of driver more than 26 years.

- Find the percent of drivers in between 22 to 30 years.

If you know:

21	19	22	19	18
19	28	24	26	21
21	19	28	21	19
30	20	32	29	30
18	21	19	18	22

     

Class no.	Class boundary	Class tallies	F	Cumulative frequency	Relative frequency	Cumulative Relative Frequency	Cumulative Percent = CRF * 100
1	18 ≤ x < 20	| | | | | | | | |	9	9	9/25=0.36	0.36	0.36*100=36%
2	20 ≤x< 22	| | | | | |	6	9+6=15	6/25=0.24	0.36+0.24=0.60	0.60*100=60%
3	22 ≤x< 24	| |	2	15+2=17	2/25=0.08	17/25=0.68	0.68*100=68%
4	24 ≤x< 26	|	1	17+1=18	1/25=0.04	0.68+0.04=0.72	0.72*100=72%
5	26 ≤x< 28	|	1	18+1=19	1/25=0.04	19/25=0.76	0.76*100=76%
6	28 ≤x< 30	| | |	3	19+3=22	3/25=0.12	0.76+0.12=0.88	0.88*100=88%
7	30 ≤x≤32	| | |	3	22+3=25	3/25=0.12	25/25=1.00	1.00*100=100%
total		25	25	No total	1.00	No total	No total

Class no.	Class boundary	Class tallies	F	Cumulative frequency	Relative frequency	Cumulative relative frequency	Cumulative Percent
1	18 ≤ x < 20	| | | | | | | | |	9	9	0.36	0.36	0.36*100=36%
2	20 ≤ x < 22	| | | | | |	6	15	0.24	0.60	0.60*100=60%
3	22 ≤ x < 24	| |	2	17	0.08	0.68	0.68*100=68%
4	24 ≤ x < 26	|	1	18	0.04	0.72	0.72*100=72%
5	26 ≤ x < 28	|	1	19	0.04	0.76	0.76*100=76%
6	28 ≤ x < 30	| | |	3	22	0.12	0.88	0.88*100=88%
7	30 ≤ x ≤ 32	| | |	3	25	0.12	1.00	1.00*100=100&
total		25	25	No total	1.00	No total	No total

P. of less than 28 years = (19 /25) *100 = 76%

P. for more than 26 years = (7/25)*100 = 28%

P. in between 22 – 30 years = ((2+1+1+3) / 25)*100 = 28%

Answer 1

You have done all the parts correctly! I only have some comments.

In the tables, the last row, the number alignment has to be done corretly, The total number ie 25 has to be under the frequency column. While calculating the cumulative relative ferquency, you could simply divide the cumulative frequncy by total. I had observed that you have alternatively done this and the rest of the you had added the relative frequencies. I suggestt you be consistent. However, I am sure, you will be submitting the second table.

The calculations of the probabilities are correct! You could still show all frequencies while calculating.

Percent of drivers less than 28 years:

Percent of drivers more than 26 years=

Percent of drivers in between 22 to 30 years=