Question

The average weight of a group of 20 women was calculated as 58.5 kg and it was later discovered that the weight of one of the women was read as 35 kg, whereas her actual weight was 65 kg. What is the actual average weight of the group of 20 women ?

• A. 70 kg
• B. 40 kg
• C. 60 kg
• D. 50 kg

Answer 1

Answer:

C. 60 kg

Number of women = 20

Calculated average = 58.5 kg

So, calculated total weight
$= 58.5 \times 20 = 1170 \text{ kg}$

Error in reading:

• Recorded weight = 35 kg

• Actual weight = 65 kg

So, shortage in total weight
$= 65 - 35 = 30 \text{ kg}$

Correct total weight
$= 1170 + 30 = 1200 \text{ kg}$

Now, actual average weight
$= \frac{1200}{20} = 60 \text{ kg}$

Actual average weight of the group = 60 kg