find the value of the missing variate for the following distribution whose mean is 10:
Variate(xi) 5, 7, 9, 11,--- 15, 20
frequency fi 4, 4, 4, 7, 3, 2, 1
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Here's your answer
The frequencies are 4, 4, 4, 7, 3, 2, 1
The variates are 5, 7, 9, 11,x, 15, 20
So number of terms are 4+ 4+ 4+ 7+ 3+ 2+ 1
= 25.
The sum of all the observations are
= (5*4)+(7*4)+(9*4)+(11*7)+(3*x)+(2*15)+(1*20)
= 20+28+36+77+3x+30+20.
= 211+3x
Mean of the observations is 10.
So total of the observations is = 25*10 = 250
ATQ,
250 = 211 + 3x
=> 39 = 3x
=> 11 = x (Answer)
Hope it helps!!
Here's your answer
The frequencies are 4, 4, 4, 7, 3, 2, 1
The variates are 5, 7, 9, 11,x, 15, 20
So number of terms are 4+ 4+ 4+ 7+ 3+ 2+ 1
= 25.
The sum of all the observations are
= (5*4)+(7*4)+(9*4)+(11*7)+(3*x)+(2*15)+(1*20)
= 20+28+36+77+3x+30+20.
= 211+3x
Mean of the observations is 10.
So total of the observations is = 25*10 = 250
ATQ,
250 = 211 + 3x
=> 39 = 3x
=> 11 = x (Answer)
Hope it helps!!
sorry i hv no idea about the question
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