MTH302 Assignment 2 Solution 2021

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MTH302 ASSIGNMENT 2 SOLUTION SPRING 2021

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Question 1:

Classify the data into groups by making 7 number of classes. Also calculate the frequency, relative frequency and class mark for each class.

100, 89, 70, 44, 60, 75, 80, 77, 44, 40, 57, 65, 58, 90, 85, 61, 49, 76, 93, 52, 87, 43, 51, 73, 82, 69, 71, 41, 91, 47

Solution:

Sr. no	Class	Frequency(f)	Tally	Relative Frequency	Class Mark
1	38 – 46	5		==0.167
2	47 – 55	4		=0.133
3	56 – 64	4		=0.133
4	65 – 73	5		=0.167
5	74 – 82	5		=0.167	78
6	83 – 91	5		=0.167	87
7	92 – 100	2		=0.133	96

Question 2:

Calculate Mean deviation about mean and co-efficient of mean deviation for the following salaries:

Rs. 1030, Rs.500, Rs.680, Rs.1100, Rs.1080, Rs.1740. Rs.1050, Rs.1000, Rs.2000, Rs.2250, Rs. 3500 and Rs.1030.

Solution:

Write in ascending order: 500, 680, 1000, 1030, 1030, 1050, 1080, 1100, 1740, 2000, 2250, 3500


500	500 – 1413.33 = - 913.33	913.33
680	680 – 1413.33 = -733.33	733.33
1000	1000 – 1413.33 = -413.33	413.33
1030	1030 – 1413.33 = - 383.33	383.33
1030	1030 – 1413.33 = - 383.33	383.33
1050	1050 – 1413.33 = - 363.33	363.33
1080	1080 – 1413.33 = -333.33	333.33
1100	1100 – 1413.33 = -313.33	313.33
1740	1740 – 1413.33 = 326.33	326.33
2000	2000 – 1413.33 =586.33	586.33
2250	2250 – 1413.33 = 836.33	836.33
3500	3500 – 1413.33 = 2086	2086
		=7673.32