Question

The mean of 12 observation is 32 if one observation 10 is deleted find new mean

Answer 1

Answer:

34

Step-by-step explanation:

MEAN=32

no. of observations =12

sum of observations=32*12=384

if one observation 10 is removed then the remaining sum =384-10=374

no,of observations=11

mean=374/11

        =34

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Answer 2

Answer:

Let the observations be = $\tt{x_{1} , x_{2} , ... x_{12}}$

Mean = $\tt{\frac{Sum\: of\: observations}{No.\: of\: observations}}$

Mean = $\tt{\frac{x_{1} + x_{2} + x_{3} + ... x_{12} }{12}}$ = 32

=> $\tt{x_{1} + x_{2} + ... x_{12} = 384 }$

When one observation 10 is removed:

=> $\tt{x_{1} + x_{2} + ... x_{11} = 374}$

Mean:

=> $\tt{\frac{x_{1} + x_{2} + ... x_{11}}{11}}$

=> $\tt{\frac{374}{11}}$

=> 34

Thus, mean changes to 34.

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