the mean of 50 numbers is 18 the new mean will be _ if each observation is increased by 4
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Given,
( x1 + x2 + x3 + ....... + x50 ) / 50 = 18
x1 + x2 + x3 + .......+ x50 = 18 *50 ____(I)
Now , If each observation is increased by 4
Then,
Mean = (x1+4 + x2+4 + x3+4 + ........+ x50+4) / 50
= (x1 + x2 + x3 + ...... + x50) 4 / 50
= ( 18*50) 4 / 50
= 18*50*4 / 50
= 18*4
= 72
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