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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