Question

The mean of 40 numbers was found to be 35. Later on it was detected that a number 56 was misread as 16. Find the correct mean of the given numbers.

Answer 1

Answer:

$\mathtt\blue{35 = x/40}$

$\mathtt\blue{x = 40</p><p>*35}$

$new \: total \: after \: misread = 1400 - 16 + 56$

$\: \: \: \: \: = 1440$

$new \: mean \: = 1440 / \: 40$

$\: \: \: \: \: = 36$

Answer 2

Step-by-step explanation:

$\huge\bf\underline{\red{A}\purple{N}\pink{S}\orange{W}\blue{E}\green{R}}$

$\frac{ x_{1} \: + \: x_{2} \: + \: 40 }{40} = 35$

So, 56 was misread as 16

Difference = 56 - 16 = 40

New mean =

$35 \: + \: \frac{40}{40} \\ \\ 35 \: + \: 1 \\ \\ = 36$

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Ans = 36

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