Question
A Basketball Coach closely watches the shots of 60 players during basketball try-outs. Complete the two-way frequency table to show her observations.
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: 28,32,60
Answer:
- Step by step explanation:
- Given:
Yes
No
Total
Underclassmen
18
a
28
Upperclassmen
b
19
c
Total
31
d
e
- Step 1:
Find a.
As, we know,
Totals appear at the end of each row and column
a + 18 = 28
a = 28 – 18
a = 10
- Step 2:
Find b.
As, we know,
Totals appear at the end of each row and column
18 + b = 31
b = 31 - 18
b = 13
- Step 3:
Find c.
As, we know,
Totals appear at the end of each row and column
b + 19 = c
c = 13 + 19
c = 32
- Step 4:
Find d
As, we know,
Totals appear at the end of each row and column
a + 19 = d
d = 10 + 19
d = 29
- Step 5:
Find e.
As, we know,
A sum of all counts (a grand total) is placed at the bottom right
28 + c = e
e = 32 + 28
e = 60
- Final Answer:
- Given:
Yes
No
Total
Underclassmen
18
a
28
Upperclassmen
b
19
c
Total
31
d
e
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