Question

Sean collected information about the number of hours his 26 classmates exercised last weekend.

Number of Number of
Hours Classmates
0
2.
1
8
2
7
3
6
3
Sean claimed that his classmates exercised an average of 7 hours last weekend. Is his claim valid?
The claim is valid because the average is 7.
The claim is not valid because the average is 2.
The claim is not valid because the average is 3.
The claim is not valid because the average is 5.

Answer 1

The claim is not valid because the average is 2.

Explanation:

Given

Number of Hours Number of Classmates

0 2.

1 8

2 7

3 6

4 3

Required

Determine if Sean's claim is correct

To do this, we need tocalculate average:

Average is calculated using;

`Average = (\sum fx)/(\sum f)`

This gives:

`Average = (0 * 2 + 1 * 8 + 2 * 7 + 3 * 6 + 4 *3)/(26)`

`Average = (0 + 8 + 14 + 18 + 12)/(26)`

`Average = (52)/(26)`

`Average = 2`

This implies that;

Sean's claim is invalid because the average is 2

Hence;

Option B answers the question