Question
You ask 70 of your classmates if they have any siblings. complete the two-way frequency table to show the results of the survey.
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: 125,75,200
- Two-way frequency chart
- Step 1:
Find b.
As, we know,
Totals appear at the end of each row and column
81 + b = 120
b = 120 – 81
b = 39
- Step 2:
Find d.
As, we know,
A sum of all counts (a grand total) is placed at the bottom right
120 + d = 200
d = 200 - 120
d = 80
- Step 3:
Find a.
As, we know,
Totals appear at the end of each row and column
a + 36 = d
a = 80 - 36
a = 44
- Step 4:
Find c
As, we know,
Totals appear at the end of each row and column
c + 75 = 200
c = 200 - 75
c = 125
- Final Answer:
Boys
Girls
Total
Yes
81
44
125
No
39
36
75
Total
120
80
200
Boys
Girls
Total
Yes
81
44
125
No
39
36
75
Total
120
80
200
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