Statistics and Probability, NAPX-G3-CA27 SA

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

680

Question

Suzie asked all the students in her primary school how many brothers and sisters they have.

She used the results to create the bar chart below but left off some labels.



Suzie's primary school has 100 students.

How many students have over 4 brothers and sisters?

Worked Solution

Since there are 100 students and 5 columns, the average number of students per column is 20.

⇒\rArr Each horizontal interval = 4 students

∴\therefore Students with more than 4
= 5.5×45.5 \times 4
= 22

Question Type

Answer Box

Variables

Variable nameVariable value
question
Suzie asked all the students in her primary school how many brothers and sisters they have. She used the results to create the bar chart below but left off some labels.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/08/NAPX-G3-CA27-SA.svg 300 indent3 vpad
Suzie's primary school has 100 students. How many students have over 4 brothers and sisters?
workedSolution
Since there are 100 students and 5 columns, the average number of students per column is 20. $\rArr$ Each horizontal interval = 4 students sm_nogap $\therefore$ Students with more than 4
>>| | | ---------- | | \= $5.5 \times 4$ | | \= {{{correctAnswer0}}} |
correctAnswer0
22
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer022

Variant 1

DifficultyLevel

692

Question

Kevin asked all the people at a pet show how many pets they have.

He used the results to create the bar chart below but left off some labels.



There were 172 people at the pet show.

How many people at the pet show have over 4 pets?

Worked Solution

There are 172 people at the pet show.

Calculate the number of people in 1 interval (vertical) of the graph:

∴\therefore Number of people per interval
= 172÷(4+3.5+5+3.5+2.5+3)172 \div (4 + 3.5 + 5 + 3.5 + 2.5 + 3)
= 172÷21.5172 \div 21.5
= 8

∴\therefore People with more than 4 pets
= 3×83 \times 8
= 24

Question Type

Answer Box

Variables

Variable nameVariable value
question
Kevin asked all the people at a pet show how many pets they have. He used the results to create the bar chart below but left off some labels.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stat_Prob_NAPX-G3-CA27-SA_v1_1.svg 320 indent3 vpad
There were 172 people at the pet show. How many people at the pet show have over 4 pets?
workedSolution
There are 172 people at the pet show. Calculate the number of people in 1 interval (vertical) of the graph: sm_nogap $\therefore$ Number of people per interval
>>| | | ---------- | | \= $172 \div (4 + 3.5 + 5 + 3.5 + 2.5 + 3)$ | | \= $172 \div 21.5$ | | \= 8 |
sm_nogap $\therefore$ People with more than 4 pets
>>| | | ---------- | | \= $3 \times 8$ | | \= {{{correctAnswer0}}} |
correctAnswer0
24
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer024

Variant 2

DifficultyLevel

684

Question

Jesse kept track of the goals he scored in the 2022 NPL soccer season.

He used the results to create the bar chart below but left off some labels.



Jesse scored 72 goals in the 2022 season.

On how many occasions did he score exactly 2 goals?

Worked Solution

Jesse scored 72 goals in the 2022 season.

Calculate the number of goals in 1 interval (vertical) of the graph:

∴\therefore Number of goals per interval
= 72÷(4+3.5+5+3.5+2)72 \div (4 + 3.5 + 5 + 3.5 + 2)
= 72÷1872 \div 18
= 4

∴\therefore Times Jesse scored exactly 2 goals
= 5×45 \times 4
= 20

Question Type

Answer Box

Variables

Variable nameVariable value
question
Jesse kept track of the goals he scored in the 2022 NPL soccer season. He used the results to create the bar chart below but left off some labels.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stat_Prob_NAPX-G3-CA27-SA_v2.svg 320 indent3 vpad
Jesse scored 72 goals in the 2022 season. On how many occasions did he score exactly 2 goals?
workedSolution
Jesse scored 72 goals in the 2022 season. Calculate the number of goals in 1 interval (vertical) of the graph: sm_nogap $\therefore$ Number of goals per interval
>>| | | ---------- | | \= $72 \div (4 + 3.5 + 5 + 3.5 + 2)$ | | \= $72 \div 18$ | | \= 4 |
sm_nogap $\therefore$ Times Jesse scored exactly 2 goals
>>| | | ---------- | | \= $5 \times 4$ | | \= {{{correctAnswer0}}} |
correctAnswer0
20
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer020

Variant 3

DifficultyLevel

690

Question

Ashleigh recorded the number of times the members of her gym visited the gym each week.

She used the results to create the bar chart below but left off some labels.



Ashleigh's gym has 616 members.

How many gym members attend 4 or more times per week?

Worked Solution

Ashleigh has 616 gym members.

Calculate the number of visits in 1 interval (vertical) of the graph:

∴\therefore Number of visits per interval
= 616÷(5+4.5+3+4+2.5+3.5+5.5)616 \div (5 + 4.5 + 3 + 4 + 2.5 + 3.5 + 5.5)
= 616÷28616 \div 28
= 22

∴\therefore People who attended the gym 4 or more times
= (2.5+3.5+5.5)×22(2.5 + 3.5 +5.5) \times 22
= 11.5×2211.5 \times 22
= 253

Question Type

Answer Box

Variables

Variable nameVariable value
question
Ashleigh recorded the number of times the members of her gym visited the gym each week. She used the results to create the bar chart below but left off some labels.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stat_Prob_NAPX-G3-CA27-SA_v3_1.svg 320 indent3 vpad
Ashleigh's gym has 616 members. How many gym members attend 4 or more times per week?
workedSolution
Ashleigh has 616 gym members. Calculate the number of visits in 1 interval (vertical) of the graph: sm_nogap $\therefore$ Number of visits per interval
>>| | | ---------- | | \= $616 \div (5 + 4.5 + 3 + 4 + 2.5 + 3.5 + 5.5)$ | | \= $616 \div 28$ | | \= 22 |
sm_nogap $\therefore$ People who attended the gym 4 or more times
>>| | | ---------- | | \= $(2.5 + 3.5 +5.5) \times 22$ | | \= $11.5 \times 22$ | | \= {{{correctAnswer0}}} |
correctAnswer0
253
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer0253

Variant 4

DifficultyLevel

698

Question

Martin recorded the sleep patterns of the residents at an aged care facility on a single night.

He used the results to create the bar chart below but left off some labels.



There are 174 residents in the aged care facility.

How many residents sleep less than 6 hours per night?

Worked Solution

There are 174 residents in the aged care facility.

Calculate the number of residents in 1 interval (vertical) of the graph:

∴\therefore Number of residents per interval
= 174÷(2+4+3.5+5.5+6+4.5+3.5)174 \div (2 + 4 + 3.5 + 5.5 + 6 + 4.5 + 3.5)
= 174÷29174 \div 29
= 6

∴\therefore Residents who sleep less than 6 hours per night
= (2+4+3.5)×6(2 + 4 + 3.5) \times 6
= 9.5×69.5 \times 6
= 57

Question Type

Answer Box

Variables

Variable nameVariable value
question
Martin recorded the sleep patterns of the residents at an aged care facility on a single night. He used the results to create the bar chart below but left off some labels.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stat_Prob_NAPX-G3-CA27-SA_v4.svg 330 indent3 vpad
There are 174 residents in the aged care facility. How many residents sleep less than 6 hours per night?
workedSolution
There are 174 residents in the aged care facility. Calculate the number of residents in 1 interval (vertical) of the graph: sm_nogap $\therefore$ Number of residents per interval
>>| | | ---------- | | \= $174 \div (2 + 4 + 3.5 + 5.5 + 6 + 4.5 + 3.5)$ | | \= $174 \div 29$ | | \= 6 |
sm_nogap $\therefore$ Residents who sleep less than 6 hours per night
>>| | | ---------- | | \= $(2 + 4 + 3.5) \times 6$ | | \= $9.5 \times 6$ | | \= {{{correctAnswer0}}} |
correctAnswer0
57
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer057

Variant 5

DifficultyLevel

690

Question

Susan recorded the number of cups of coffee consumed by a group of teachers at her school in a week.

She used the results to create the bar chart below but left off some labels.



In total, there were 128 teachers who took part in Susan's survey.

How many teachers consumed 4 or more cups of coffee per day?

Worked Solution

There are 128 teachers taking part in the survey.

Calculate the number of teachers in 1 interval (vertical) of the graph:

∴\therefore Number of teachers per interval
= 128÷(3+4+8+7+4.5+3.5+2)128 \div (3 + 4 + 8 + 7 + 4.5 + 3.5 + 2)
= 128÷32128 \div 32
= 4

∴\therefore Number of teachers who consumed 4 or more cups of coffee per day
= (4.5+3.5+2)×4(4.5 + 3.5 + 2) \times 4
= 10×410 \times 4
= 40

Question Type

Answer Box

Variables

Variable nameVariable value
question
Susan recorded the number of cups of coffee consumed by a group of teachers at her school in a week. She used the results to create the bar chart below but left off some labels.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stat_Prob_NAPX-G3-CA27-SA_v5_1.svg 330 indent3 vpad
In total, there were 128 teachers who took part in Susan's survey. How many teachers consumed 4 or more cups of coffee per day?
workedSolution
There are 128 teachers taking part in the survey. Calculate the number of teachers in 1 interval (vertical) of the graph: sm_nogap $\therefore$ Number of teachers per interval
>>| | | ---------- | | \= $128 \div (3 + 4 + 8 + 7 + 4.5 + 3.5 + 2)$ | | \= $128 \div 32$ | | \= 4 |
sm_nogap $\therefore$ Number of teachers who consumed 4 or more cups of coffee per day
>>| | | ---------- | | \= $(4.5 + 3.5 + 2) \times 4$ | | \= $10 \times 4$ | | \= {{{correctAnswer0}}} |
correctAnswer0
40
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer040

Tags

  • ms_ca