Question

arithmetic mean of nine observation is calculated as 38 but in doing so an observation 27 is mistaken for 72 find the actual mean of data

Answer 1

this might be the answer

Answer 2

Answer:

Actual mean of data= 33

Step-by-step explanation:

We know that arithmetic mean is calculated by the formula shown below:

$mean = \frac{sum \: of \: all \: observation}{total \: observation} \\ \\ total \: observation = 9 \\ \\ 38 = \frac{sum \: of \: all \: observation}{9} \\ \\ sum \: of \: all \: observation = 38 \times 9 \\ \\ = 342$

According to the question ,so we have to add 27 and subtract 72 from the sum

$= 342 - 72 +27 \\ \\ = 297 \\ \\ mean = \frac{297}{9} \\ \\ Actual\:mean= 33$

Hope it helps you.