Question

15, 17, 14, 16, 12, 9, 19, 10, 13, 11

First: Create an iterative distribution table consisting of 4 categories, then distribute the data on this table.

Second: Calculate the cumulative iterations of the iterative distribution schedule.

Third: Calculate the relative frequencies and the cumulative relative frequencies.

Fourth: If we consider that the student who received less than 12 deposits, calculate the percentage of successful students.

Fifth: Calculate the arithmetic mean from the iterative distribution schedule that you created in the first application.

Answer 1

Arrangement of data in smallest to largest: 9,10,11,12,13,14,15,16,17 and 19.

First: Creation of an iterative distribution table consisting of 4 categories with distributing the data on this table.

Group	Class		Frequency
1	8	11	2
2	11	14	3
3	14	17	3
4	17	20	2

Second: Calculate the cumulative iterations of the iterative distribution schedule.

Group	Class		Frequency	cumulative iteration
1	8	11	2	2
2	11	14	3	5
3	14	17	3	8
4	17	20	2	10

Third: Calculate the relative frequencies and the cumulative relative frequencies.

Group	Class		Frequency (F)	cumulative iteration (CF)	relative frequencies=F/10	cumulative relative frequencies=CF/10
1	8	11	2	2	0.2	0.2
2	11	14	3	5	0.3	0.5
3	14	17	3	8	0.3	0.8
4	17	20	2	10	0.2	1
Total			10

Fourth: If we consider that the student who received less than 12 deposits, calculate the percentage of successful students.

Ans: Successful students are the students who 12 or more than 12 deposits.

So, the percentage of successful students=(6/10)*100%=60%.

Fifth: Calculate the arithmetic mean from the iterative distribution schedule that you created in the first application.

Group	Class		Frequency (F)	mid-value (x)=(Upper limit+lower limit)/2	Fx
1	8	11	2	9.5	19
2	11	14	3	12.5	37.5
3	14	17	3	15.5	46.5
4	17	20	2	18.5	37
			10		140

The arithmetic mean from the iterative distribution schedule=140/10=14