Question

pls answer the question​

Answer 1

||✪✪ Given ✪✪||

• The Mean of 40 observations = 200 .
• 65 was wrongly copied as 25.
• Find Corrected Means ?

|| ✰✰ ANSWER ✰✰ ||

Mean is the average ,

→ Average = Sum of observation / Total Number of observation .

Putting values ,

→ 200 = Sum of observation / 40

→ Sum of observation = 200 * 40 = 8000

_____________________

Now, it has been said that 65 was wrongly copied as 25 .

So, if we remove 25 From total sum and put our corrected Number 65, we will get our original Sum.

→ Original Sum of observation = 8000 - 25 + 65 = 8040 .

So ,

→ New Average = (8040) / 40 = 201.

Hence, Corrected Mean is 201.

Answer 2

$\huge\tt{Answer:}$

Given:

The mean of 40 observations are 200. It was detected by rechecking that the value of 65 was wrongly copied as 25 for computation of mean.

Find:

We must, find the corrected mean.

Using formula:

$\boxed{\boxed{\sf {Mean =\dfrac{Sum \: of \: observations}{Total \: no.\: of \: observations}}}}$

Adding values to the above formula:

$\boxed{\boxed{\sf {200 =\dfrac{Sum \: of \: observations}{40}}}}$

$\sf Sum \: of \: observations = 200 × 40 = 8,000$

Now, Removing 25 from sum by adding rhe correct number 65.

$\sf Sum \: of \: observations = 8,000 - 25 = 7,975 \\ \sf</p><p>Sum \: of \: observations = 7,975 + 65 = 8,040$

$\boxed{\boxed{\sf {Average =\dfrac{8040}{40}}}}=201$

Therefore, 201 is the corrected mean.