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Q34 of 141 Page 8

If , then =

We have given,



Also,



Putting this in above equation






Now, given …[1]


using this


We have,




…[2]


We know,


If x1, x2, … , xn are observations with frequencies f1, f2, … , fn i.e. x1 occurs f1 times and x2 occurs f2 times and so on, then mean() of observations is given by



From [1] and [2]


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If the mean of first n natural number is 15, then n =

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If the mean observations x1, x2, ..., xn is , then the means of x1 + a, x2 + a, ..., xn + a is

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Mean of a certain number of observations is . If each observation is divided by m(m ≠ 0) and increased by n, then the mean of new observation is

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If 35 is removed from the data: 30, 34, 35, 36, 37, 38, 39, 40, then the median increases by

Questions · 141
7. Statistics
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