Q. 16

# Let a, b, c, d, e

Let a, b, c,d,e be the observation and mean is m

Let suppose new mean be m1

M1 =m+k

Now, The standard deviation

So, The standard deviation for new observation

Now, we can compare both observation

a+k-n=a+k-(m+k)

a+k–n = a+k–m- k

a+k-n=a-m

Similary

b+k-n=b-m

c+k-n=c-m

d+k-n=d-m

e+k-n=e-m

when we substitute the values, we get,

S1 = S

Hence, The Sd is S

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