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UPSC NDA Math Model Paper 8
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© examsnet.com
Question : 53
Total: 120
The distributions X and Y with total number of observations 36 and 64, and mean 4 and 3 respectively are combined. What is the mean of the resulting distribution X + Y?
3.26
3.32
3.36
3.42
Validate
Solution:
Given, The distributions X and Y with the total number of observations 36 and 64, and mean 4 and 3 respectively are combined.
4
=
X
36
and
3
=
Y
64
⇒ X = 144 and Y = 192
⇒ X + Y = 144 + 192
⇒ X + Y = 336
Total number of observations = 36 + 64 = 100
Mean
=
sum of observations
total number of observations
⇒
Mean
=
336
100
⇒
Mean
=
3.36
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