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Statistics, NAP-L3-CA13

Students in Year 7 were surveyed to find out how much time they spent studying each day.
 

  
 

How many students spent one hour or more studying each day?

`2` `4` `5` `6`
 
 
 
 
Show Answers Only

`6`

Show Worked Solution

`text(Number of students studying ≥ 60 mins)`

`= 1 + 3 + 2`

`= 6`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 5, smc-3166-20-Table data, smc-674-20-Table data

Statistics, NAP-A3-NC22 SA

A survey asked a group of high school students how much they spend on broadband each month.

The result were recorded in the table below.
 


 

In total, how many students in Year 9 and Year 10 had a monthly broadband spend of more than $20?

Show Answers Only

`33`

Show Worked Solution

`text(Year 9-10 students who spend more than $20)`

`= 17 + 16`

`= 33\ text(students)`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 8, smc-3166-20-Table data, smc-674-20-Table data

Statistics, NAP-A3-NC22 SA

This table shows results of a survey on gym memberships.

In total, how many people over the age of 60 have a monthly bill less than $40?

    people
Show Answers Only

`28`

Show Worked Solution

`text(Total over 60 with a monthly spend below $40)`

`=16+12`

`=28`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 8, smc-3166-20-Table data, smc-674-20-Table data

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-A3-CA04

This table summarises the time Tutty spent training her parrot over five days.
 

 
What was the average (mean) time for training the parrot each day?

`text(30 minutes)` `text(56 minutes)` `text(66 minutes)` `text(280 minutes)`
 
 
 
 
Show Answers Only

`text(56 minutes)`

Show Worked Solution
`text(Average)` `= (25 + 55 + 60 + 94 + 46)/5`
  `= 280/5`
  `= 56\ text(minutes)`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 6, smc-3166-20-Table data, smc-674-20-Table data

Statistics, NAP-J3-CA01

Four students recorded the number of times they participated in different sports in one week in the table below.
 

In total, which sport was participated in the most times?

Swimming Soccer Tennis Netball
 
 
 
 
Show Answers Only

`text(Swimming)`

Show Worked Solution

`text(Times each sport was played:)`

`text(Swimming – 11)`

`text(Soccer – 10)`

`text(Tennis – 8)`

`text(Netball – 5)`

`:.\ text(Swimming was participated in the most.)`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 4, smc-3166-20-Table data, smc-674-20-Table data

Statistics, NAP-B3-NC24

The train travel times between major Australian cities are listed in the table below:
   

 
The train travel time from Melbourne to Adelaide is about 4 times the travel time from

 
`text(Sydney to Melbourne)`
 
`text(Sydney to Canberra)`
 
`text(Canberra to Adelaide)`
 
`text(Canberra to Melbourne)`
Show Answers Only

`text(Sydney to Canberra)`

Show Worked Solution

`text(Melbourne to Adelaide is 733 minutes.)`

`=>\ text(Travel time needed)` `~~1/4 xx 733`
  `~~183.25\ text(minutes)`

 

`:.\ text{Sydney to Canberra (at 176 mins).}`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 9, smc-3166-20-Table data, smc-674-20-Table data

Statistics, NAP-D3-CA26 SA

A school offers two sports during a summer term.

Students can either play hockey or water polo, but not both.
 

   

 
One-quarter of all the students play water polo.

How many girls play hockey?

Show Answers Only

`85`

Show Worked Solution

`text(Water polo players = 40)`

`=>\ text(Total students)` `= 4 xx 40`
  `= 160`

 

`:.\ text(Girls playing hockey)`

`= 160 – (35 + 40)`

`= 85`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 9, smc-3166-20-Table data, smc-674-20-Table data

Statistics, NAP-D3-CA24 SA

The school canteen collected data on the number of lunches that students ordered from the canteen in one given week.
 

 

 
What was the total number of lunches ordered for the week?

Show Answers Only

`189`

Show Worked Solution

`text(Total number of lunches ordered)`

`= (1 xx 8) + (2 xx 6) + (3 xx 26) + (4 xx 4) + (5 xx 15)`

`= 8 + 12 + 78 + 16 + 75`

`= 189`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 8, smc-3166-20-Table data, smc-674-20-Table data

Statistics, NAP-D3-NC14

Shanka collected data about his friends and recorded the results in the table below.
 

   

 
How did Shanka order his data?

`text(by age)` `text(by gender)` `text(by shoe size)` `text(by height)`
 
 
 
 
Show Answers Only

`text(by shoe size)`

Show Worked Solution

`text(by shoe size)`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 6, smc-3166-20-Table data, smc-674-20-Table data

Statistics, NAP-F3-CA27 SA

A school's drama class puts on a play over five nights.

The play is open to the public and the numbers of tickets sold are shown in the table below.
 

 
The cost of each ticket was $15.

What was the mean amount of money collected from ticket sales per night?

$ 
Show Answers Only

`$2850`

Show Worked Solution

`text(Mean number of tickets sold)`

`= (210 + 170 + 180 + 170 + 220)/5`

`=190`

 

`:.\ text(Mean tickets sales)` `= 190 xx 15`
  `= $2850`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 9, smc-3166-20-Table data, smc-674-20-Table data

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-C3-CA09

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

 

Which day had the greatest total attendance over the 4 weeks?

`text(Monday)` `text(Tuesday)` `text(Wednesday)` `text(Thursday)`
 
 
 
  
Show Answers Only

`text(Tuesday)`

Show Worked Solution

`text(One strategy:)`

`text(At a glance, Thursday and Friday numbers look low.)`

`=>\ text(Checking total attendances on the 1st 3 days:)`

`text(Monday = 226)`

`text(Tuesday = 266)`

`text(Wednesday = 234)`

`:.\ text(Greatest total attendance on Tuesday.)`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 6, smc-3166-20-Table data, smc-674-20-Table data

Statistics, NAP-G3-CA02

10 of the tallest mountains in the United States are listed in the table below:
 

 

How much taller than Utah's tallest mountain is Colorado's tallest mountain?

`225\ text(metres)` `227\ text(metres)` `273\ text(metres)` `330\ text(metres)`
 
 
 
 
Show Answers Only

`273\ text(metres)`

Show Worked Solution

`text(Mount Massive – Kings Peak)`

`= 4398 – 4125`

`= 273\ text(metres)`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 5, smc-3166-20-Table data, smc-674-20-Table data

Statistics, NAP-H3-CA25

Spiro records the number of students who can play different instruments in his class.

He records the results in the table below.
 

 
Some students play more than one instrument.

What is the least number of girls that could be in Spiro's class?

`20` `13` `9` `1`
 
 
 
 
Show Answers Only

`9`

Show Worked Solution

`text(S)text(ince students can play more than 1 instrument,)`

`text(Spiro’s class could have only 9 girls since this is)`

`text(the largest number of girls that play any single)`

`text(instrument.)`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 8, smc-3166-20-Table data, smc-674-20-Table data

Number, NAP-H3-CA19 SA

The dog population in five continents can be found in the table below.
 

 
How many more dogs live in Europe than in Africa and South America combined?

Show Answers Only

`36\ 345\ 608`

Show Worked Solution

`text(Number of extra dogs)`

`= 59\ 329\ 647 – (9\ 721\ 457 + 13\ 262\ 582)`

`= 36\ 345\ 608`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations, Data and Interpretation, Data and Statistics (7) Tagged With: Band 7, smc-3143-20-Basic operators, smc-3166-20-Table data, smc-674-20-Table data, smc-676-20-Basic operators

Statistics, NAP-I3-NC16

A soccer competition has six teams playing on the same day.

The table below shows the draw.
 

   

 
If no match ends in a draw, which of the following is possible?

 
Tigers and Lions are the only teams that lose.
 
Lions and Cheetahs both lose.
 
Meerkats and Civets both win.
 
Lions, Leopards, Civets and Tigers all win.
Show Answers Only

`text(Meercats and Civets both win.)`

Show Worked Solution

`=>\ text(3 teams must win and 3 teams must lose.)`

`=>\ text(Teams playing each other cannot both lose).`

`:.\ text(Meerkats and Civets both winning is the)`

`text(only option that is possible.)`

Filed Under: Data and Interpretation, Data and Statistics (7) Tagged With: Band 7, smc-3166-20-Table data, smc-674-20-Table data

Number, NAP-I3-NC14

Giselle does odd jobs around the house to earn pocket money.

She gets $3 per job.

The table below shows all the jobs she did in one week.
 

 
If Giselle does the same jobs for two weeks, how much money will she earn altogether?

`$12` `$24` `$36` `$72`
 
 
 
 
Show Answers Only

 `$72`

Show Worked Solution

`text(Total jobs in 1 week)`

`= 7 + 3 + 2`

`= 12`

`:.\ text(Money earned in 2 weeks)`

`= 2 xx (12 xx 3)`

`= 2 xx 36`

`= $72`

Filed Under: Data and Interpretation, Data and Statistics (7), Financial Maths, Financial Maths Tagged With: Band 7, smc-3144-20-Wages, smc-3166-20-Table data, smc-674-20-Table data, smc-900-20-Wages

Statistics, NAP-I3-NC04

Matt was recording the colour of cars that drove past his school in 1 hour.

In the hour, Matt saw 9 blue, 12 silver and 6 white cars.

In the tables below, `text(X)` = 3 cars.

Which table correctly shows the number of cars that Matt saw?

 
 
 
 
Show Answers Only

Show Worked Solution

`text(S)text(ince)\ X = 3\ text(cars,)`

`text(9 Blue cars)` `=\ text(XXX)`
`text(12 Silver cars)` `=\ text(XXXX)`
`text(6 White cars)` `=\ text(XX)`

Filed Under: Data and Statistics (7) Tagged With: Band 5, smc-674-11-Picture graphs, smc-674-20-Table data

Statistics, NAP-C3-CA01

This is John's University timetable.

   

Which room is John in at 2:45 pm on Tuesday?

`text(Room 7)` `text(Room 9)` `text(Room 11)` `text(Room 22)`
 
 
 
 
Show Answers Only

 `text(Room 9)`

Show Worked Solution

`text(Room 9)` 

Filed Under: Data and Statistics (7) Tagged With: Band 5, smc-674-20-Table data

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