# The distribution of weights (in kg) of 44 students in a class is as follows: Weight No. of Students 35 - 38 3 38 - 41 13 41 - 44 13 44 - 47 10 47 - 50

25 views

closed

The distribution of weights (in kg) of 44 students in a class is as follows:

 Weight No. of Students 35 - 38 3 38 - 41 13 41 - 44 13 44 - 47 10 47 - 50 5

What is the average weight of the class?

1. 40.26
2. 41.88
3. 42.56
4. 43.25

by (24.2k points)
selected

Correct Answer - Option 3 : 42.56

Concept used:

Mean and frequency.

Calculation:

Mean of the given data

⇒ (35 + 38)/2 = 36.5

⇒ (38 + 41)/2 = 39.5

⇒ (41 + 44)/2 = 42.5

⇒ (44 + 47)/2 = 45.5

⇒ (47 + 50)/2 = 48.5

Average weight of all class

$\Rightarrow \frac{{36.5 \times 3 + 39.5 \times 13 + 42.5 \times 13 + 45.5 \times 10 + 48.5 \times 5}}{{44}}$

⇒ 1873/44

∴ 42.56 is the average of the class.