Question
A Washerman asks 75 people from two different cities if they own rain boots. Complete thetwo-way frequency table to show the results of the survey.
What pattern do you see in the two-way frequency table?
Hint:
- Categories are labelled in the left column and top row.
- The counts are placed in the centre of the table.
- Totals appear at the end of each row and column.
- A sum of all counts (a grand total) is placed at the bottom right
The correct answer is: 32,43,75
Answer:
Given:
Yes
No
Total
City A
a
19
32
City B
28
b
d
Total
c
34
e
- Step 1:
Find a.
As, we know,
Totals appear at the end of each row and column
a + 19 = 32
a = 32 – 19
a = 13
- Step 2:
Find c.
As, we know,
Totals appear at the end of each row and column
a + 28 = c
c = 28 + 13
c = 41
- Step 3:
Find b.
As, we know,
Totals appear at the end of each row and column
b + 19 = 34
b = 34 – 19
b = 15
- Step 4:
Find d
As, we know,
Totals appear at the end of each row and column
28 + b = d
d = 28 + 15
d = 43
- Step 5:
Find e.
As, we know,
A sum of all counts (a grand total) is placed at the bottom right
32 + d = e
e = 32 + 43
e = 75
- Final Answer:
Yes
No
Total
City A
13
19
32
City B
28
15
43
Total
41
34
75
Yes
No
Total
City A
a
19
32
City B
28
b
d
Total
c
34
e
Yes
No
Total
City A
13
19
32
City B
28
15
43
Total
41
34
75
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