Question

7. The mean of 10 observations is 16.5. It was
later noticed that one observation was taken
as 57 instead of 75 by mistake. Then find
the correct mean of the data.​

Answer 1

SOLUTION

GIVEN

The mean of 10 observations is 16.5. It was later noticed that one observation was taken as 57 instead of 75 by mistake.

TO DETERMINE

The correct mean of the data.

EVALUATION

Here it is given that the mean of 10 observations is 16.5

So sum of 10 observations

= 10 × 16.5

= 165

Now it is also stated that one observation was taken as 57 instead of 75 by mistake.

So correct sum of the observations will be

= 165 - 57 + 75

= 165 + 18

= 183

Hence the required mean

$\displaystyle \sf{ = \frac{183}{10} }$

$= 18.3$

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Answer 2

Answer:

$18.3$

Step-by-step explanation:

$n = 10$

$mean = sigmas \div n \\ 16.5 = sigmax \div 10 \\ 165 = sigmax \\ \\ mean = 165 + 75 - 57 \\ 165 + 18 \\ = 183 \\ \\ actual \: mean = 183 \div 10 \\ = 18. =$

$= 18.3$

☃️Hope it's help you dear