The following table shows the number of children in each house of a society.
Number of Children Number of Houses
0 7
1 9
2 20
3 3
What is the average number of children per house?
- A1.74
- B1.99
- C1.24
- D1.49
Solution & Step-by-step Explanation
To find the average number of children per house, we calculate the total number of children and divide it by the total number of houses.
Total number of children=∑(x
i
⋅f
i
)
Total children=(0×7)+(1×9)+(2×20)+(3×3)
Total children=0+9+40+9=58
Total number of houses=∑f
i
Total houses=7+9+20+3=39
Average number of children per house=
Total Houses
Total Children
=
39
58
≈1.487
Rounding off to two decimal places, we get 1.49.
Total number of children=∑(x
i
⋅f
i
)
Total children=(0×7)+(1×9)+(2×20)+(3×3)
Total children=0+9+40+9=58
Total number of houses=∑f
i
Total houses=7+9+20+3=39
Average number of children per house=
Total Houses
Total Children
=
39
58
≈1.487
Rounding off to two decimal places, we get 1.49.