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: 45,25,70
- Two-way frequency chart:
Boys
Girls
Total
Yes
a
25
45
No
15
b
c
Total
d
35
70
- Step 1:
Find a.
As, we know,
Totals appear at the end of each row and column
a + 25 = 45
a = 45 – 25
a = 20
- Step 2:
Find b.
As, we know,
Totals appear at the end of each row and column
25 + b = 35
b = 35 - 25
b = 10
- Step 3:
Find c.
As, we know,
Totals appear at the end of each row and column
15 + b = c
15 + 10 = c
c = 25
- Step 4:
Find d
As, we know,
Totals appear at the end of each row and column
d + 35 = 70
d = 70 - 35
d = 35
- Final Answer:
Boys
Girls
Total
Yes
20
25
45
No
15
10
25
Total
35
35
70
Boys
Girls
Total
Yes
a
25
45
No
15
b
c
Total
d
35
70
Boys
Girls
Total
Yes
20
25
45
No
15
10
25
Total
35
35
70
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