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Question

Comment on the performance of the students of three universities given below using weighted mean:
No. of Students are in hundreds
Courses of study Mumbai Kolkata Chennai
%
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No. of students %
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No. of Students %
pass
No. of Students
M.A 71 3 82 2 81 2
M.COM. 83 4 76 3 76 3.5
B.A 73 5 73 6 74 4.5
B.COM. 74 2 76 7 58 2
B.Sc 65 3 65 3 70 7
M.Sc 66 3 60 7 73 2

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Solution

Courses Mumbai Kolkata Chennai
X1 W1 X1W1 X2 W2 X2W2 X3 W3 X3W3
M.A
M.Com
B.A
B.Com
B.Sc
M.Sc
71
83
73
74
65
66
3
4
5
2
3
3
213
332
365
148
195
198
82
76
73
76
65
60
2
3
6
7
3
7
164
228
438
532
195
420
81
76
74
58
70
73
2
3.5
4.5
2
7
2
162
266
333
116
490
146
ΣW1 = 20 ΣX1W1 = 1451 ΣW2 = 28 ΣX2W2 = 1977 ΣW3 = 21 ΣX3W3 = 1513

XW1=ΣX1W1ΣW1=145120=72.55XW2=ΣX2W2ΣW2=197728=70.6XW3=ΣX3W3ΣW3=151321=72.04
Average score of Mumbai is more than Kolkata and Chennai. So performance of Mumbai is better.

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