4.4 and 4.5 Quiz

A total of 75 students responded to a survey about transportation to school. Of the girls surveyed, 22 walk to school and 29 get a ride.
Of the 24 boys surveyed, 8 get a ride to school. Construct a two-way frequency table to display the data. Drag the numbers into the boxes. Each number may be used once, more than once, or not at all.

a

b

c

d

e

f

g

h

i

75

29

51

37

38

16

24

22

9

8

What does the number in the bottom right-hand corner of a two-way frequency table represent?

• It is the total number of data points in the data set, which is also the maximum of the row totals or the column totals.

• It is the row total number of data points in the data set, which is also the difference of the row totals or the column totals.

• It is the column number of data points in the data set, which is also the difference of the row totals or the column totals.

• It is the total number of data points in the data set, which is also the sum of the row totals or the column total.

Corey asked 82 people at his school what type of fruit they prefer.
Use the information in the table to complete the two-way frequency table. Drag the numbers into the boxes. Each number may be used once, more than once, or not at all.

a

b

c

d

e

f

g

33

30

29

7

82

4

1

75

2

Use the two-way frequency table. Do more students prefer apples or grapes?

• More students prefer apples because 32 students preferred apples, compared to 26 students who preferred grapes.

• More students prefer apples because 3 students preferred apples, compared to 2 students who preferred grapes.

• More students prefer apples because 75 students preferred apples, compared to 7 students who preferred grapes.

• More students prefer apples because 29 students preferred apples, compared to 24 students who preferred grapes.

Jayne polled 50 students about their preferred after-school sport, and then recorded the data in the table. Which sport is more popular?

• Baseball is more popular because 27 students preferred baseball, compared to 2 students who preferred soccer.

• Baseball is more popular because 11 students preferred baseball, compared to 10 students who preferred soccer

• Soccer is more popular because 29 students preferred baseball, compared to 21 students who preferred soccer.

• Baseball is more popular because 38 students preferred baseball, compared to 12 students who preferred soccer.

Use the two-way frequency table to complete the relative frequency table. Drag the numbers into the boxes.

i

h

g

f

e

d

c

b

a

51

37

27

100

14

49

36

21

64

Use the relative frequency table. Out of all the lunch orders, what percent are sandwiches? Enter your answer in the box.

____ %

Use the two-way frequency table to complete the row relative frequency table. Drag the numbers into the boxes.

a

b

c

d

e

100

64

36

28

72

Use the row relative frequency table. Did a greater percentage of volleyball players or swimmers order a sandwich?

• A greater percentage of volleyball players

• A greater percentage of swimmers

• An equal percentage of volleyball players and swimmers

• Unable to determine from the table

Select the two true statements.

• You can use a relative frequency table to examine how data sets are related by comparing percentages.

• Row and column relative frequency tables tell you the same information as total relative frequency tables.

• A column relative frequency table helps compare data in two different rows.

• In a column two-way relative frequency table, each column totals 100%.