Question

The following table shows monthly pocket expenses of the
students of a class. Find out the average pocket expenses.
Pocket Expenses )
20-29
30-39
40-49
50-59
60-69

Number of Students
10
8
6
4
2​

Answer 1

Answer:

2% is the correct. answer

Explanation:

I hope you like my answer

Answer 2

Average pocket expenses = 37.834

Let us calculate the mean through average assumed mean method.

Monthly pocket expenses - 20-29, 30-39, 40-49, 50-59, 60-69

Mid point m = (20-29/2), (30-39/2), (40-49/2), (50-59/2), (60-69/2)

= 24.5, 34.5, 44.5, 54.5, 64.5

Number of students fi = 10, 8, 6, 4, 2

∑fi = 30

Let assumed mean be 44.5

di (m-44.5) = (24.5-44.5), (34.5-44.5), (44.5-44.5), (54.5-44.5), (64.5-44.5)

= -20, -10, 0, 10, 20

di*fi = -200, -80, 0, 40, 40

∑difi = -200

mean = a+ ∑difi/∑fi

= 44.5 + (-200)/30

= 44.5 - 6.666

= 37.834