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Statistics, NAP-L3-CA35

Students at a high school were surveyed to find whether they did exercise before school.

The graph below shows the results.
 


 

There were 150 17-year-old students at the high school.

How many 17-year-old students responded 'Every Day'?

`14` `30` `38` `45` `60`
 
 
 
 
 
Show Answers Only

`45`

Show Worked Solution

`text(30% of 17-year-old responded ‘Every Day’.)`

`:.\ text(Number)` `= 0.3 xx 150`
  `= 45`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 9, smc-3166-12-Bar charts, smc-674-12-Bar charts

Statistics, NAP-K3-CA36

Two fishing boats record the number of tuna they catch on four fishing trips.
 

 
How many more tuna did Boat 2 catch than Boat 1 in total over the four trips.

 
Show Answers Only

`60`

Show Worked Solution
`text(Boat 1 tuna)` `= 140 + 120 + 40 + 55`
  `= 355`
`text(Boat 2 tuna)` `= 105 + 130 + 95 + 85`
  `= 415`

 
`:.\ text(Extra tuna caught by Boat 2)`

`= 415 – 355`

`= 60`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 9, smc-3166-12-Bar charts, smc-674-12-Bar charts

Statistics, NAP-K3-CA06

Clive and Alvin asked their friends how many books they had read in the past month.

Clive draws a picture graph to show the results for his friends.

Alvin draws a column graph to show the results for his friends.
 

 
How many more of Clive's friends read 3-4 books in the last month than Alvin's friends?

`0` `4` `6` `8`
 
 
 
 
Show Answers Only

`6`

Show Worked Solution

`text(Number of Clive’s friends)`

`= 4 xx 2`

`= 8`

`text(Number of Alvin’s friends = 2)`

 
`:. 6\ text(more of Clive’s friends.)`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 6, smc-3166-11-Picture graphs, smc-3166-12-Bar charts, smc-674-11-Picture graphs, smc-674-12-Bar charts

Statistics, NAP-I3-CA09

The graph shows the origin and type of all vehicles in a city.
 

 
Which statement is most accurate based on the graph?

 
There are more utility vehicles than trucks and vans.
 
Utility vehicles are the most common type of vehicles
 
There are more Australian vehicles than European vehicles.
 
There are more Asian vehicles than European vehicles.
Show Answers Only

`text(There are more Asian vehicles)`

`text(than European vehicles.)`

Show Worked Solution

`text(Consider the 4th option:)`

`text(Total Asian vehicles)`

`=5+7+7=19`

`text(Total European vehicles)`

`=4+3+3=10`

`:.\ text(There are more Asian vehicles than European vehicles.)`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 6, smc-3166-12-Bar charts, smc-674-12-Bar charts

Statistics, NAP-A3-CA01 SA

This graph shows how students in Year 7 at Kotara High usually get to school.
 


 Use the information in the graph to complete  this table.
 

How many girls catch the bus to school?

    girls
Show Answers Only

`text(50 girls)`

Show Worked Solution

`text(50 girls)`

Filed Under: Data and Statistics (7) Tagged With: Band 4, smc-674-12-Bar charts, smc-674-20-Table data

Statistics, NAP-J3-CA26

This graph shows a company's profit over a four year period.
 

 
Which conclusion can be reached from the graph?

 
The profit in Year 2 was one third of the profit in Year 1.
 
The profit fell by 50% from Year 3 to Year 4.
 
The profits were positive in Years 1 and 3, and negative in Years 2 and 4.
 
The profits were greater than $60 000 in the period between Year 1 and Year 4.
Show Answers Only

The profits were greater than $60 000 in the period between Year 1 and Year 4.

Show Worked Solution

`text(Important to note that profits in this table begin at)\ $61\ 000.`

`:.\ text(The profits were greater than $60 000 in the period)`

`text(between Year 1 and Year 4.)`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 8, smc-3166-12-Bar charts, smc-674-12-Bar charts

Statistics, NAP-J3-CA17

The bottles in Renee's fridge are pictured below.

Renee decides to make a graph where each bar represents one type of bottle in her fridge.
  

Renee makes an error when creating the graph.

What should Renee do to correct the error?

 
Make each category bar a different colour.
 
Change the title to 'Number of bottles in the fridge by volume'.
 
Change the 'Number of bottles' label to 'Volume of bottles'.
 
Remove the 'Juice' category since orange juice and apple juice are already shown.
Show Answers Only

`text(Remove the ‘Juice’ category since orange juice and)`

`text(apple juice are already shown.)`

Show Worked Solution

`text(Remove the ‘Juice’ category since orange juice and)`

`text(apple juice are already shown.)`

Filed Under: Data and Statistics (7) Tagged With: Band 6, smc-674-12-Bar charts

Statistics, NAP-D3-NC01

This graph shows the number of lottery tickets sold by a newsagent on each day of a given week.

On which days did the newsagent sell 23 lottery tickets?

Tuesday Wednesday Thursday Friday
 
 
 
 
Show Answers Only

`text(Thursday)`

Show Worked Solution

`text(Thursday)`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 4, smc-3166-12-Bar charts, smc-674-12-Bar charts

Statistics, NAP-E3-NC19 SA

Matt and Libby love nature and planted 50 trees each over 3 weeks.

The bar chart below shows the number of trees each of them planted in each week.

 

 

How many more trees did Libby plant than Matt in Week 2.

Show Answers Only

`5`

Show Worked Solution

`text(Trees planted by Matt in Week 2)`

`= 35 – 15`

`= 20`

`text(Trees planted by Libby in Week 2)`

`= 45 – 20`

`= 25`

`:.\ text(Libby planted 5 more trees than Matt in Week 2.)`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 7, smc-3166-12-Bar charts, smc-674-12-Bar charts

Statistics, NAP-G3-CA27 SA

Angus asked all the students in his primary school how far away they lived from school.

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

 
Angus' primary school has 100 students.

How many students lived over 8 km from school?

Show Answers Only

`18\ text(students)`

Show Worked Solution

`text(S) text(ince there are 5 columns and 100)`

`text(students, the average number of students)`

`text(per column is 20.)`

`=>\ text(Each interval = 4 students)`

 

`:.\ text(Number of students living over 8 km away)`

`= 4.5 xx 4`

`= 18\ text(students)`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 9, smc-3166-12-Bar charts, smc-674-12-Bar charts

Statistics, NAP-H3-CA08

A local triathlon club gathers data on its members and displays it in a graph below.
 

 
How many members in the triathlon club are 50 or younger?

`7` `9` `14` `18` `21`
 
 
 
 
 
Show Answers Only

`21`

Show Worked Solution

`text(Number of members 50 or younger)`

`=5+9+7`

`=21`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 6, smc-3166-12-Bar charts, smc-674-12-Bar charts

Statistics, NAP-I3-NC09

The number of students that could solve a Rubik's cube in less than 2 minutes were counted at 7 different primary schools.

The results were recorded in the graph below.
 

 
How many students, in total, could solve the cube in less than 2 minutes?

`3` `14` `15` `18`
 
 
 
 
Show Answers Only

`15`

Show Worked Solution

`text(Total students who can solve in less than 2 mins)`

`= 2+2+3+0+3+2+3`

`=15`

Filed Under: Data and Statistics (7) Tagged With: Band 6, smc-674-12-Bar charts

Statistics, NAP-C3-NC28

Each bar on this graph shows the population of a country and the population of its capital city.

The white section is the population that lives in the capital city.

The black section is the population that lives outside the capital city.
 

   
 

Which of the following countries has the highest percentage of its population living in its capital city?

 
`text(Australia)`
 
`text(Belgium)`
 
`text(France)`
 
`text(England)`
Show Answers Only

`text(Belgium)`

Show Worked Solution

`text(Considering the length of the white section of each)`

`text(bar and comparing it to the length of the total bar,)`

`text(Belgium easily has the highest percentage living in)`

`text(its capital city.)`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 10, smc-3166-12-Bar charts, smc-674-12-Bar charts

Statistics, NAP-C3-CA02

For three days, Terry counted the colour of cars he saw drive past his house.
 

   

 
Which column on the graph below shows the total number of Red cars? 

 
 
 
 
Show Answers Only

 `text(The second bar from the left.)`

Show Worked Solution

`text(Option 2: 4 red cars passed.)`

 `text{(The second bar from the left)}`

Filed Under: Data and Statistics (7) Tagged With: Band 6, smc-674-12-Bar charts

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