The mean of the data *x _{1}, x_{2}, x_{3}*, ……………

*x*is 20 then the mean of (

_{10}*x*+ 4) , (

_{1}*+ 4) , (*

*x*_{2}*x*+ 4) , …….(

_{3}*x*+ 4) will be

_{10}a) 20 b) 24 c) 40 d) 10

Answer : b) 24

Explaination :

Mean of the data *x _{1}, x_{2}, x_{3}*, ……………

*x*is given by______

_{10}Mean = *x _{1} + x_{2} + x_{3}* + …………… +

*x*/ 10 = 20

_{10}Mean of the data (*x _{1}*+4) + (

*+ 4) + (*

*x*_{2}*x*+ 4) + ……+ (

_{3}*x*+ 4) is given by______

_{10}mean = { (*x _{1}* + 4) + (

*+ 4) + (*

*x*_{2}*x*+ 4) + ……+ (

_{3}*x*+ 4) } / 10

_{10}= ( *x _{1} + x_{2} + x_{3}* + …………… +

*x*) + ( 4+4+4+4+4+4+4+4+4+4 ) / 10

_{10}= ( *x _{1} + x_{2} + x_{3}* + …………… +

*x*) / 10 + ( 4 × 10 ) / 10

_{10}= 20 + 4

= 24

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