30246

Question

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Worked Solution

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Variant 0

DifficultyLevel

523

Question

Penelope conducts a survey and records the height of 25 Year 8 students in the table below.

Height (in cm) Frequency Cumulative Frequency
100-109 4 4
110-119 5
120-129 3
130-139 6
140-149 2
150-159 5

What are the missing numbers from the Cumulative Frequency column?

Worked Solution

Cumulative frequency on any row equals the frequency on the same row added to the previous cumulative frequency on the row above.
4 + 5 = 9
9 + 3 = 12
12 + 6 = 18
18 + 2 = 20
20 + 5 = 25

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
part1
Penelope conducts a survey and records the height of 25 Year 8 students in the table below.
table1
> > | Height (in cm) | Frequency | Cumulative Frequency | > > | :------------: | :---------: | :------------------: | > > | 100-109 | 4 | 4 | > > | 110-119 | 5 | | > > | 120-129 | 3 | | > > | 130-139 | 6 | | > > | 140-149 | 2 | | > > | 150-159 | 5 | |
part2
What are the missing numbers from the Cumulative Frequency column?
solution1
sm_nogap Cumulative frequency on any row equals the frequency on the same row added to the previous cumulative frequency on the row above.
> > | | > > | ------- | > > | 4 + 5 = 9 | > > | 9 + 3 = 12 | > > | 12 + 6 = 18 | > > | 18 + 2 = 20 | > > | 20 + 5 = 25 |
correctAnswer
9, 12, 18, 20, 25

Answers

Is Correct?Answer
x

5, 3, 6, 2, 5

✓

9, 12, 18, 20, 25

x

8, 12, 16, 20, 25

x

5, 10, 15, 20, 25

Variant 1

DifficultyLevel

523

Question

Roger did a survey and recorded the weights of 30 kindergarten students in the table below.

Weight (in kg) Frequency Cumulative Frequency
31-35 8 8
36-40 14
41-45 5
46-50 3

What are the missing numbers from the Cumulative Frequency column?

Worked Solution

Cumulative frequency on any row equals the frequency on the same row added to the previous cumulative frequency on the row above.
8 + 14 = 22
22 + 5 = 27
27 + 3 = 30

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
part1
Roger did a survey and recorded the weights of 30 kindergarten students in the table below.
table1
> > | Weight (in kg) | Frequency | Cumulative Frequency | > > | :------------: | :---------: | :--------------------: | > > | 31-35 | 8 | 8 | > > | 36-40 | 14 | | > > | 41-45 | 5 | | > > | 46-50 | 3 | |
part2
What are the missing numbers from the Cumulative Frequency column?
solution1
sm_nogap Cumulative frequency on any row equals the frequency on the same row added to the previous cumulative frequency on the row above.
> > | | > > | ------- | > > | 8 + 14 = 22 | > > | 22 + 5 = 27 | > > | 27 + 3 = 30 |
correctAnswer
22, 27, 30

Answers

Is Correct?Answer
x

18, 24, 30

x

20, 25, 30

✓

22, 27, 30

x

14, 5, 3

Variant 2

DifficultyLevel

523

Question

Jennifer was an official in the long jump event at a State championships athletic carnival.

She recorded the length of the first jump of 20 athletes in the table below.

Distance (in ft) Frequency Cumulative Frequency
19-20 2 2
21-22 5
23-24 6
25-26 4
27-28 3

What are the missing numbers from the Cumulative Frequency column?

Worked Solution

Cumulative frequency on any row equals the frequency on the same row added to the previous cumulative frequency on the row above.
2 + 5 = 7
7 + 6 = 13
13 + 4 = 17
17 + 3 = 20

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
part1
Jennifer was an official in the long jump event at a State championships athletic carnival. She recorded the length of the first jump of 20 athletes in the table below.
table1
> > | Distance (in ft) | Frequency | Cumulative Frequency | > > | :------------: | :---------: | :--------------------: | > > | 19-20 | 2 | 2 | > > | 21-22 | 5 | | > > | 23-24 | 6 | | > > | 25-26 | 4 | | > > | 27-28 | 3 | |
part2
What are the missing numbers from the Cumulative Frequency column?
solution1
sm_nogap Cumulative frequency on any row equals the frequency on the same row added to the previous cumulative frequency on the row above.
> > | | > > | ------- | > > | 2 + 5 = 7 | > > | 7 + 6 = 13 | > > | 13 + 4 = 17 | > > | 17 + 3 = 20 |
correctAnswer
7, 13, 17, 20

Answers

Is Correct?Answer
✓

7, 13, 17, 20

x

5, 6, 4, 3

x

8, 12, 16, 20

x

5, 10, 15, 20

Variant 3

DifficultyLevel

523

Question

A dentist recorded the ages of 35 people who visited her practice and recorded the results in the table below.

Age Frequency Cumulative Frequency
0-9 10 10
10-19 7
20-29 6
30-39 9
40-49 3

What are the missing numbers from the Cumulative Frequency column?

Worked Solution

Cumulative frequency on any row equals the frequency on the same row added to the previous cumulative frequency on the row above.
10 + 7 = 17
17 + 6 = 23
23 + 9 = 32
32 + 3 = 35

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
part1
A dentist recorded the ages of 35 people who visited her practice and recorded the results in the table below.
table1
> > | Age | Frequency | Cumulative Frequency | > > | :------------: | :---------: | :--------------------: | > > | 0-9 | 10 | 10 | > > | 10-19 | 7 | | > > | 20-29 | 6 | | > > | 30-39 | 9 | | > > | 40-49 | 3 | |
part2
What are the missing numbers from the Cumulative Frequency column?
solution1
sm_nogap Cumulative frequency on any row equals the frequency on the same row added to the previous cumulative frequency on the row above.
> > | | > > | ------- | > > | 10 + 7 = 17 | > > | 17 + 6 = 23 | > > | 23 + 9 = 32 | > > | 32 + 3 = 35 |
correctAnswer
17, 23, 32, 35

Answers

Is Correct?Answer
x

7, 6, 9, 3

x

15, 18, 24, 35

x

20, 25, 30, 35

✓

17, 23, 32, 35

Variant 4

DifficultyLevel

523

Question

Burnie conducts a survey and asks 24 people what their daily wage is, in Australian dollars.

He records the results in the table below.

Daily Wage (in $) Frequency Cumulative Frequency
201-250 5 5
251-300 6
301-350 8
351-400 3
401-450 2

What are the missing numbers from the Cumulative Frequency column?

Worked Solution

Cumulative frequency on any row equals the frequency on the same row added to the previous cumulative frequency on the row above.
5 + 6 = 11
11 + 8 = 19
19 + 3 = 22
22 + 2 = 24

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
part1
Burnie conducts a survey and asks 24 people what their daily wage is, in Australian dollars. He records the results in the table below.
table1
> > | Daily Wage (in $) | Frequency | Cumulative Frequency | > > | :-----------: | :---------: | :--------------------: | > > | 201-250 | 5 | 5 | > > | 251-300 | 6 | | > > | 301-350 | 8 | | > > | 351-400 | 3 | | > > | 401-450 | 2 | |
part2
What are the missing numbers from the Cumulative Frequency column?
solution1
sm_nogap Cumulative frequency on any row equals the frequency on the same row added to the previous cumulative frequency on the row above.
> > | | > > | ------- | > > | 5 + 6 = 11 | > > | 11 + 8 = 19 | > > | 19 + 3 = 22 | > > | 22 + 2 = 24 |
correctAnswer
11, 19, 22, 24

Answers

Is Correct?Answer
x

6, 8, 3, 2

✓

11, 19, 22, 24

x

12, 16, 18, 24

x

10, 15, 20, 25