Question

The average of 100
numbers is 46, but it
was found that 2
numbers 16 and 43
mistakenly
calculated as 61 and
34. Find the correct
average​

Answer 1

Answer:

Step-by-step explanation:

AVG. = SUM OF ALL NOS. / TOTAL NOS.

46= SUM OF ALL NOS. / 100

SUM OF ALL NOS. = 46*100

                               =4600

CORRECT AVG ={ (SUM OF ALL NOS.0) -( SUM OF INCORRECT NOS.) + (SUM OF REPLACED  NOS.)} /TOTAL NOS.

CORRECT AVG = {4600-( 61+34) + ( 16+43)} /100

                         = {4600- 95 + 59}/100

                          =4564/100

                           = 45.64

Answer 2

Step-by-step explanation:

Given that:The average of 100 numbers is 46, but it was found that 2 numbers 16 and 43 mistakenly calculated as 61 and 34.

To find :Find the correct average

Solution:

We know that

$Average = \frac{Sum \: of \: all \: observation}{Total \: number \: of \: observation}$

Given

$46 = \frac{Sum \: of \: all \: observation}{100}$

Sum of all observation = 46×100= 4600

numbers 16 and 43 mistakenly calculated as 61 and 34.

So, subtract 61 and 34 from the total sum

= 4600-61-34

= 4505

Correct sum of all observation = 4505+16+43

= 4564

Correct Average

$= \frac{4564}{100} \\ \\ = 45.64$

Correct Average is 45.64

Hope it helps you.