SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

  • Login
  • Get Help
  • About

Statistics, NAP-L3-CA10

In Wadonga, there are 29 538 people.

Each day, the average person uses 168 litres of water.

Which of these gives the best estimate for the total number of litres of water used in Wadonga each day?

`30\ 000 xx 200` `30\ 000 xx 100` `30\ 000 ÷ 200` `30\ 000 ÷ 100`
 
 
 
 
Show Answers Only

`30\ 000 xx 200`

Show Worked Solution
`text(Total litres)` `=\ text(litres per person × total people)`  
  `= 30\ 000 xx 200`  
     

`text{(168 is closer to 200 than 100 and}`

  `text{will give a better estimate.)}`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 7, smc-3166-30-Mean/median/mode/range, smc-674-30-Mean/median/mode/range

Statistics, NAP-B3-CA25

The mean (average) of four numbers is 26.

One more number is added and the mean number becomes 27.

The number added is?

`26` `27` `31` `53`
 
 
 
 
Show Answers Only

`31`

Show Worked Solution

`text(Total of the first 4 numbers,)`

`26 xx 4 = 104`

`text(Total including the 5th number added,)`

`27 xx 5 = 135`

`:.\ text(The number added)` `=135-104`
  `=31`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 9, smc-3166-30-Mean/median/mode/range, smc-674-30-Mean/median/mode/range

Statistics, NAP-D3-CA19

Lea collects comic books.

She sells some of them.

The selling prices are listed below.

   `$5, \ $7, \ $7, \ $7, \ $9, \ $12, \ $12, \ $14, \ $35`

What is their mean (average) price?

`$9` `$10` `$11` `$12`
 
 
 
 
Show Answers Only

`$12`

Show Worked Solution

`5 + 7 + 7 + 7 + 9 + 12 + 12 + 14 + 35 = 108`

`:.\ text(Average selling price)` `=108/9`
  `=$12`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 8, smc-3166-30-Mean/median/mode/range, smc-674-30-Mean/median/mode/range

Statistics, NAP-E3-CA13

Curly measures the position of glaciers in the antarctic.

His measurements showed that in 1 full year, a glacier moved 88 cm.

On average, how many centimetres did the glacier move per day?

`0.24\ text(cm)` `0.88\ text(cm)` `1.6\ text(cm)` `7.3\ text(cm)`
 
 
 
 
Show Answers Only

`0.24\ text(cm)`

Show Worked Solution

`text(Average daily movement of glacier)`

`=88/365`

`= 0.24\ text(cm)`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 7, smc-3166-30-Mean/median/mode/range, smc-674-30-Mean/median/mode/range

Statistics, NAP-C3-CA10

This table shows the number of people who visited a war memorial on weekdays over 4 weeks.
 

 

 
What was the mean (average) number of people who attended the war memorial on Fridays?

`22` `26` `27` `28`
 
 
 
 
Show Answers Only

`26`

Show Worked Solution
`text(Mean on Fridays)` `=(22 + 32+28+22)/4`
  `=104/4`
  `=26`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 7, smc-3166-20-Table data, smc-3166-30-Mean/median/mode/range, smc-674-20-Table data, smc-674-30-Mean/median/mode/range

Statistics, NAP-F3-NC20

In 2015, the population of Australia was estimated at 24 million.

The amount of milk consumed in 2015 was 78 million litres.

The average amount of  milk consumed by one person in 2015 was closest to

 
`text(0.3 litres)`
 
`text(3 litres)`
 
`text(30 litres)`
 
`text(300 litres)`
Show Answers Only

`text(3 litres)`

Show Worked Solution

`text(Milk consumed by one person)`

`=(78\ 000\ 000)/(24\ 000\ 000)`

`=78/24`

`~~3\ text(litres)`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 7, smc-3166-30-Mean/median/mode/range, smc-674-30-Mean/median/mode/range

Statistics, NAP-I3-CA20 SA

Over 5 games, Ramesh recorded the following scores when playing cricket.

  `28, \ 30, \ 33, \ 1, \ 18`

What was his mean score?

Show Answers Only

`22`

Show Worked Solution
`text(Mean)` `= (28 + 30 + 33 + 1 + 18)/5`
  `= 22`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 9, smc-3166-30-Mean/median/mode/range, smc-674-30-Mean/median/mode/range

Copyright © 2014–2025 SmarterEd.com.au · Log in