The mean of the data x1, x2, x3, …………… x10 is 20 then the mean of (x1 + 4) , (x2 + 4) , (x3 + 4) , …….(x10 + 4) will be

a) 20 b) 24 c) 40 d) 10

Answer : b) 24

Explaination :

Mean of the data x1, x2, x3, …………… x10 is given by______

Mean = x1 + x2 + x3 + …………… + x10 / 10 = 20

Mean of the data (x1+4) + (x2 + 4) + (x3 + 4) + ……+ (x10 + 4) is given by______

mean = { (x1 + 4) + (x2 + 4) + (x3 + 4) + ……+ (x10 + 4) } / 10

= ( x1 + x2 + x3 + …………… + x10 ) + ( 4+4+4+4+4+4+4+4+4+4 ) / 10

= ( x1 + x2 + x3 + …………… + x10 ) / 10 + ( 4 × 10 ) / 10

= 20 + 4

= 24

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