Question

Following data gives the number of children in 40 families. Represent them in the form of a frequency table.

1, 2, 6, 5, 1, 5, 1, 3, 2, 6, 2, 3, 4, 2, 0, 4, 4, 3, 2, 2, 0, 0, 1, 2, 2, 4, 3, 2, 1, 0, 5, 1, 2, 4, 3, 4, 1, 6, 2, 2

Answer 1

Given: The list of numbers (number of children in 40 families) is 1, 2, 6, 5, 1, 5, 1, 3, 2, 6, 2, 3, 4, 2, 0, 4, 4, 3, 2, 2, 0, 0, 1, 2, 2, 4, 3, 2, 1, 0, 5, 1, 2, 4, 3, 4, 1, 6, 2, 2.

Step-wise calculation:

Prepare counters for each possible number of children 0 through 6.

Tally through the list and increment the appropriate counter:

0: 0, 0, 0, 0 → Frequency = 4

1: 1, 1, 1, 1, 1, 1, 1 → Frequency = 7

2: Many occurrences counted → Frequency = 12

3: 3, 3, 3, 3, 3 → Frequency = 5

4: 4, 4, 4, 4, 4, 4 → Frequency = 6

5: 5, 5, 5 → Frequency = 3

6: 6, 6, 6 → Frequency = 3

Check total: 4 + 7 + 12 + 5 + 6 + 3 + 3 = 40 matches the number of families.

Frequency table:

Number of children (x)	Frequency (f)
0	4
1	7
2	12
3	5
4	6
5	3
6	3
Total	40