MTH302 Assignment 2 Solution

 

MTH302 Assignment 2 Solution

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Assignment No.  2

Solution MTH302 Spring 2021

 

 

 

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

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

 

Now Using the Class Interval Formula.

 

_·           Class Interval=   ­­­­Xm-Xo/Number Of Class

 

Class Interval=100-40/7

 

 Class Interval =60/7

 

Class Interval =8.6

 

Class Interval ^~9

 

 

 

 

 

 

Now We Have Drawn A Table.

 

NO.	Classes	Tally Marks	Frequency	Relative Frequency	Class Mark
1	38-46	\\\\	5	5/30=0.167	42
2	47-55	\\\\	4	4/30=0.133	51
3	56-64	\\\\	4	4/30=0.133	60
4	65-73	\\\\	5	5/30=0.167	69
5	74-82	\\\\	5	5/30=0.167	78
6	83-91	\\\\	5	5/30=0.167	87
7	92-100	\\	2	2/30=0.067	96
			Σf=30

Question 2                                                                                                       Marks=10

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;

Sort form: 500,680,1000,1030,1030,1050,1080,1740,1100,2000,2550,3500

 

Mean = x̄ = Σx/n

Mean=x̄=500+680+1000+1030+1030+1080+1100++1740+2000+2250+2250/12

Mean= x̄=16690/12

Mean= x̄=1413.33

 

 

 

Now we have drawn a Table

X(Rs.)	x- x̄	|x – x̄|
500	-913.33	913.33
680	-733.33	733.33
1000	-413.33	413.33
1030	-383.33	383.33
1030	-383.33	383.33
1050	-363.33	363.33
1080	-333.33	333.33
1100	-313.33	313.33
1740	326.67	326.67
2000	586.67	586.67
2250	836.67	836.67
3500	2086.67	2086.67
		Σ|x – x̄|=7673.32

 

Mean Deviation for Mean= Σ|x – x̄|/n

 

Mean Deviation for Mean=7673.32/12

                                        =639.44

 

 

Co-efficient of mean Deviation= Mean Deviation from Mean / Mean

Co-efficient of mean Deviation=639.44 /1413.33

 

Co-efficient of mean Deviation=0.4524

 

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