Question

10. The mean of 15 observations is 38.2. It was found later on, that
the number 25 was misread as 52. Find the actual mean.
​

Answer 1

Answer:

36.4

Step-by-step explanation:

Mean = sum of observations / no. Of observations

38.2=sum of observations /15

Sum of observations = 38.2×15

Sum of observations = 573

As25 was misread as52

Sum of observations = 573-52+25 = 521+25 = 546

Mean = 546/15= 36.4

=36.4

Answer 2

$\huge{\blue{\underline{Answer}}}$

$\red{\tt{\therefore{Actual\:Mean=36.4}}}$

$\huge{\blue{\underline{Solution}}}$

$\orange{\boxed{Actual \: Mean \: = \: \frac{Sum \: of \: observations}{Number \: of \: observations}}}$

$\green{= > \: 38.2 \: = \: \frac{Sum \: of \: observation}{15}}$

$\green{= > \: Sum \: of \: observation \: = \: 38.2 \times 15}$

$\green{= > \: Sum \: of \: observation \: = \: 573}$

$\red{\tt{\therefore{As\:25\:was\: misread\:as\:52.}}}$

$\green{= > \: Sum \: of \: observation \: = \: 573 - 52 + 25}$

$\green{= > \: Sum \: of \: observation \: = \: 546}$

$\red{\tt{\therefore{Now,\:by\: using\: the\: formula\: of\:Actual\:Mean.}}}$

$\green{= > \: Actual \: Mean \: = \: \frac{546}{15} = 36.4}$

$\green{\tt{\boxed{Actual\:Mean\:=\:36.4.}}}$

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