Question

The average weight of a group of 75 girls was calculated as
47 kg. It was later discovered that the weight of one of the
girls was read as 45 kg, whereas her actual weight was 25 kg.
What is the actual average weight of the group of 75 girls?
(Rounded off to two digits after decimal)
(1) 46.73 kg
(2) 46.64 kg
(3) 45.96 kg
(4) Cannot be determined
(5) None of these​

Answer 1

answer is option no 1(47.73kg)

Answer 2

Step-by-step explanation:

Average weight of 75 girls = 47 kg

Sum of their weights = 47 x 75

= 3525

Misread weight = 45 kg

Real weight = 25 kg

New Sum = 3525 - 45 + 25

= 3505

New Mean =

$\frac{sum \: of \: observations}{number \: of \: observations}$

$= \frac{3505}{75}$

$= 46.73$

Answer = 46.73