Statistics and Probability, NAPX-J3-CA40 SA

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

731

Question

A random sample of people were asked what is their favourite winter sport.

The table below recorded the results.

Sport Number of People
Netball 56
Aussie Rules 69
Rugby League 42
Hockey 17

Using the data from the survey, predict how many people would choose Aussie Rules if 2000 people were surveyed?

Worked Solution

Total people surveyed
= 56+69+42+1756+69+42+17
= 184

∴\therefore Predicted number to choose Aussie Rules
= 69184×2000\dfrac{69}{184} \times 2000
= 750

Question Type

Answer Box

Variables

Variable nameVariable value
question
A random sample of people were asked what is their favourite winter sport. The table below recorded the results.
>>| Sport | Number of People| |:-:|:-:| | Netball | 56| | Aussie Rules | 69| | Rugby League | 42| | Hockey | 17|

Using the data from the survey, predict how many people would choose Aussie Rules if 2000 people were surveyed?
workedSolution
sm_nogap Total people surveyed
>>| | | ---------- | | \= $56+69+42+17$ | | \= 184 |

sm_nogap $\therefore$ Predicted number to choose Aussie Rules
>>| | | ---------- | | \= $\dfrac{69}{184} \times 2000$ | | \= {{{correctAnswer0}}} |
correctAnswer0
750
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
correctAnswer0750

Variant 1

DifficultyLevel

733

Question

A random sample of people were surveyed on the brand of their smartphone.

The table below recorded the results.

Brand of Phone Number of People
Oppo 27
Apple 108
Samsung 71
Google 10

Using the data from the survey, predict how many people would have an Oppo phone if 4000 people were surveyed?

Worked Solution

Total people surveyed
= 27 + 108 + 71 + 10
= 216

∴\therefore Predicted number to own an Oppo
= 27216×4000\dfrac{27}{216} \times 4000
= 500

Question Type

Answer Box

Variables

Variable nameVariable value
question
A random sample of people were surveyed on the brand of their smartphone. The table below recorded the results.
>>| Brand of Phone| Number of People| |:-:|:-:| | Oppo| 27| | Apple| 108| | Samsung| 71| | Google| 10 |

Using the data from the survey, predict how many people would have an Oppo phone if 4000 people were surveyed?
workedSolution
sm_nogap Total people surveyed
>>| | | ---------- | | \= 27 + 108 + 71 + 10 | | \= 216 |

sm_nogap $\therefore$ Predicted number to own an Oppo
>>| | | ---------- | | \= $\dfrac{27}{216} \times 4000$ | | \= {{{correctAnswer0}}} |
correctAnswer0
500
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
correctAnswer0500

Variant 2

DifficultyLevel

735

Question

A random sample of people were surveyed on what is their favourite ice cream flavour.

The table below recorded the results.

Ice Cream Flavour Number of People
Vanilla 49
Bubblegum 28
Passionfruit 35
Chocolate 59
Caramel 29

Using the data from the survey, predict how many people would choose chocolate if 3000 people were surveyed?

Worked Solution

Total people surveyed
= 49 + 28 + 35 + 59 + 29
= 200

∴\therefore Predicted number to choose chocolate
= 59200×3000\dfrac{59}{200} \times 3000
= 885

Question Type

Answer Box

Variables

Variable nameVariable value
question
A random sample of people were surveyed on what is their favourite ice cream flavour. The table below recorded the results.
>>| Ice Cream Flavour| Number of People| |:-:|:-:| | Vanilla| 49| | Bubblegum| 28| | Passionfruit| 35| | Chocolate| 59 | | Caramel | 29 |

Using the data from the survey, predict how many people would choose chocolate if 3000 people were surveyed?
workedSolution
sm_nogap Total people surveyed
>>| | | ---------- | | \= 49 + 28 + 35 + 59 + 29 | | \= 200 |

sm_nogap $\therefore$ Predicted number to choose chocolate
>>| | | ---------- | | \= $\dfrac{59}{200} \times 3000$ | | \= {{{correctAnswer0}}} |
correctAnswer0
885
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
correctAnswer0885

Variant 3

DifficultyLevel

734

Question

A random sample of people were surveyed on what is their favourite winter snow sport.

The table below recorded the results.

Snow Sport Number of People
Skiing 102
Snow Boarding 228
Cross Country 85
Fat Biking 25

Using the data from the survey, predict how many people would choose Skiing if 5500 people were surveyed?

Worked Solution

Total people surveyed
= 102 + 228 + 85 + 25
= 440

∴\therefore Predicted number to choose Snow Skiing
= 102440×5500\dfrac{102}{440} \times 5500
= 1275

Question Type

Answer Box

Variables

Variable nameVariable value
question
A random sample of people were surveyed on what is their favourite winter snow sport. The table below recorded the results.
>>| Snow Sport | Number of People| |:-:|:-:| | Skiing | 102| | Snow Boarding | 228| | Cross Country | 85| | Fat Biking | 25|

Using the data from the survey, predict how many people would choose Skiing if 5500 people were surveyed?
workedSolution
sm_nogap Total people surveyed
>>| | | ---------- | | \= 102 + 228 + 85 + 25 | | \= 440 |

sm_nogap $\therefore$ Predicted number to choose Snow Skiing
>>| | | ---------- | | \= $\dfrac{102}{440} \times 5500$ | | \= {{{correctAnswer0}}} |
correctAnswer0
1275
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
correctAnswer01275

Variant 4

DifficultyLevel

732

Question

A random sample of people were surveyed on their favourite streaming channel.

The table below recorded the results.

Streaming Channel Number of People
Amazon Prime 37
Disney+ 64
Google TV 29
Netflix 85
Paramount 24
Stan 81

Using the data from the survey, predict how many people would choose Amazon Prime if 2560 people were surveyed?

Worked Solution

Total people surveyed
= 37 + 64 + 29 + 85 + 24 + 81
= 320

∴\therefore Predicted number to choose Amazon Prime
= 37320×2560\dfrac{37}{320} \times 2560
= 296

Question Type

Answer Box

Variables

Variable nameVariable value
question
A random sample of people were surveyed on their favourite streaming channel. The table below recorded the results.
>>| Streaming Channel| Number of People| |:-:|:-:| | Amazon Prime| 37| |Disney+| 64| | Google TV| 29| | Netflix| 85 | |Paramount | 24 | |Stan| 81 |

Using the data from the survey, predict how many people would choose Amazon Prime if 2560 people were surveyed?
workedSolution
sm_nogap Total people surveyed
>>| | | ---------- | | \= 37 + 64 + 29 + 85 + 24 + 81| | \= 320 |

sm_nogap $\therefore$ Predicted number to choose Amazon Prime
>>| | | ---------- | | \= $\dfrac{37}{320} \times 2560$ | | \= {{{correctAnswer0}}} |
correctAnswer0
296
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
correctAnswer0296

Variant 5

DifficultyLevel

736

Question

A random sample of people were surveyed on their favourite breed of dog.

The table below recorded the results.

Breed of Dog Number of People
Border Collie 65
Cavoodle 22
Golden Retriever 125
Labrador 75
Maltese Cross 36
Staffordshire Bull Terrier 52

Using the data from the survey, predict how many people would choose a Cavoodle if 3000 people were surveyed?

Worked Solution

Total people surveyed
= 65 + 22 + 125 +75 + 36 + 52
= 375

∴\therefore Predicted number to choose a Cavoodle
= 22375×3000\dfrac{22}{375} \times 3000
= 176

Question Type

Answer Box

Variables

Variable nameVariable value
question
A random sample of people were surveyed on their favourite breed of dog. The table below recorded the results.
>>| Breed of Dog| Number of People| |:-:|:-:| | Border Collie| 65| | Cavoodle| 22 | | Golden Retriever| 125| | Labrador| 75 | | Maltese Cross| 36 | | Staffordshire Bull Terrier| 52|

Using the data from the survey, predict how many people would choose a Cavoodle if 3000 people were surveyed?
workedSolution
sm_nogap Total people surveyed
>>| | | ---------- | | \= 65 + 22 + 125 +75 + 36 + 52 | | \= 375 |

sm_nogap $\therefore$ Predicted number to choose a Cavoodle
>>| | | ---------- | | \= $\dfrac{22}{375} \times 3000$ | | \= {{{correctAnswer0}}} |
correctAnswer0
176
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
correctAnswer0176

Tags

  • ms_ca