Question

Average weight of 19 men is 74 kgs, and the average weight of 38 women is 63 kgs. What is the average weight (rounded off to the nearest integer) of all the men and the women together ?

• A. 59 kg
• B. 65 kg
• C. 69 kg
• D. 67 kg

Answer 1

The Correct Option is D

The problem involves finding the average weight of a combined group of men and women using given average weights and the number of individuals in each group. The steps to solve the problem are as follows:

We know:

• The average weight of 19 men = 74 kg
• The average weight of 38 women = 63 kg

First, we calculate the total weight of the men and the women:

• Total weight of men = Average weight of men × Number of men = 74 kg × 19 = 1406 kg
• Total weight of women = Average weight of women × Number of women = 63 kg × 38 = 2394 kg

Next, we find the combined total weight of all individuals:

• Total weight of all = Total weight of men + Total weight of women = 1406 kg + 2394 kg = 3800 kg

The total number of individuals is the sum of men and women:

• Total number of individuals = Number of men + Number of women = 19 + 38 = 57

To find the average weight of all individuals, we use the formula for average:

Average weight = Total weight of all / Total number of individuals

Substituting the values:

Average weight = 3800 kg / 57 ≈ 66.67 kg

Rounding this to the nearest integer gives us:

67 kg

Hence, the average weight of all the men and women together is 67 kg.