Questions
The mean of 100 observations is 50 and their standard deviation is 5. The sum of squares of all the observations is
a
50000
b
250000
c
252500
d
255000
detailed solution
Correct option is C
Given, x¯=50,n=100 and σ=5⇒50=Σxi100⇒Σxi=50×100=5000 Now, σ2=Σxi2n−(x¯)2⇒25=Σxi2100−(50)2⇒2525=Σxi2100∴ Σxi2=252500Talk to our academic expert!
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