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Statistics, NAP-L3-CA15

A survey was conducted that asked students how long it took them to travel to school. This graph show the results.
 


 

What percentage of students had a commute between 15-30 minutes?

 
less that 25%
 
between 25% and 50%
 
between 50% and 75%
 
more than 75%
Show Answers Only

`text(between 25% and 50%)`

Show Worked Solution

`text(S)text{ection (15-30 minutes) is more than one quarter}`

`text(of the chart and less than half.)`

`:.\ text(between 25% and 50%)`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 6, smc-3166-14-Pie charts, smc-674-14-Pie charts

Statistics, NAP-E3-CA04

Anne taught a kindergarten class and asked her students what their favorite fruit is.

Their answers were used to draw the pie chart below.
 

 

 
Around a quarter of her students preferred which fruit?

`text(Banana)` `text(Apple)` `text(Mango)` `text(Grapes)`
 
 
 
 
Show Answers Only

`text(Apple)`

Show Worked Solution

`text(A quarter of students will represent a sector that)`

`text(is the size of a quarter of the circle.)`

`:.\ text(Apple)`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 5, smc-3166-14-Pie charts, smc-674-14-Pie charts

Number, NAP-F3-CA16

Kat went on holiday and spent her money on accomodation, meals and shopping.

She spent $1200 in total and the pie chart below shows how she spent it.
 

 
How much money did Kat spend on meals on her holiday?

`$260` `$360` `$300` `$540`
 
 
 
 
Show Answers Only

`$300`

Show Worked Solution

`text(Money spent on shopping)`

`= 30text(%) xx 1200`

`=$360`

`:.\ text(Money spent on meals)`

`=1200 – (540+360)`

`=$300`

Filed Under: Data and Interpretation, Data and Statistics (7), Financial Maths, Financial Maths, Percentages, Percentages Tagged With: Band 7, smc-3144-50-Other problems, smc-3147-50-Graphs and percentages, smc-3166-14-Pie charts, smc-674-14-Pie charts, smc-900-50-Other problems, smc-901-50-Graphs and percentages

Statistics, NAP-F3-NC28 SA

Tom collected data on the number of big game animals in an African wildlife park.

This graph shows how many big game animals lived in the park.

 

 

There were 16 more elephants than rhinos in the wildlife park.

How many big game animals were in the park in total?

Show Answers Only

`80`

Show Worked Solution

`text(Let)\ \ n = text(total big games animal in the park)`

`text(Elephants − Rhinos)` `= 16`
`7/20 n – 3/20 n` `= 16`
`4/20 n` `= 16`
`n` `= (16 xx 20)/4`
  `= 80`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 10, smc-3166-14-Pie charts, smc-674-14-Pie charts

Statistics, NAP-H3-NC13

Bradley's class were asked to choose their favourite colour among four choices.

  • 5 voted for red
  • 2 voted for orange
  • 6 voted for blue
  • The rest voted for green

 

 

How many students in Bradley's class chose green?

`7` `8` `9` `10`
 
 
 
 
Show Answers Only

`7`

Show Worked Solution

`text(S)text(ince red is one quarter of the pie chart,)`

`=>\ text(there are 20 students in Bradley’s class.)`

`:.\ text(Votes for green)`

`=20-(5+2+6)`

`=7`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 7, smc-3166-14-Pie charts, smc-674-14-Pie charts

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