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Statistics, NAP-L4-CA36

Wayne enters into a 10-lap motorcycle race.

He increases his speed each lap for the first 5 laps but has to make a pit stop during lap 6.

Wayne then resumes and increases his speed over the final 4 laps.

Which graph most accurately represents Wayne's 10-lap race?​
 

 
 
 
   
 
 
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Show Worked Solution

`text(Laps 1 – 5:)`

`text(Increasing speed)\ ->\ text(graph trends down)`

`text(Lap 6:)`

`text(Pit stop)\ ->\ text(data point much higher)`

`:.\ text(Correct graph)`
 

Filed Under: Data and Interpretation, Data and Statistics Tagged With: Band 10, smc-3190-10-Dot plots, smc-681-10-Dot plots

Statistics, NAP-A4-CA03

A dealership sells new and used cars.

The graph shows the price of 2 similar cars and their age in years
 

 
Which one of these statements is true?

 
Car Q is older and less expensive than Car P.
 
Car P is newer and less expensive than Car Q.
 
Car P is older and more expensive than Car Q.
 
Car Q is newer and more expensive than Car P.
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`text(Car Q is older and less expensive than Car P.)`

Show Worked Solution

`text(Car)\ Q\ text(is further right on)\ xtext(-axis)`

`=> Q\ text(is older)`

`text(Car)\ Q\ text(is lower on)\ ytext(-axis)`

`=> Q\ text(is less expensive)`

 

`:. text(Car)\ Q\ text(is older and less expensive than Car)\ P.`

Filed Under: Data and Interpretation, Data and Statistics Tagged With: Band 6, smc-3190-10-Dot plots, smc-681-10-Dot plots

Statistics, NAP-F4-NC02

This graph shows the number of bats in a fruit tree at 15 minute intervals over 4 hours.
 

 
At which time were the highest number of bats in the fruit tree?

`5:45` `6:00` `6:15` `6:30`
 
 
 
 
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`text(6:15 pm)`

Show Worked Solution

`text(The highest data point is one interval past 6:00 pm.)`

`:.\ text(The highest number were in the tree at 6:15 pm.)`

Filed Under: Data and Interpretation, Data and Statistics Tagged With: Band 5, smc-3190-10-Dot plots, smc-681-10-Dot plots

Statistics, NAP-E4-CA18

Brandon collected some data from his hockey team.

The data was used to draw the graph below although no labels were used.

What kind of data could Brandon be showing on his graph?

  Horizontal axis Vertical axis
 
Type of pet Number of players
 
Age Height
 
Gender Height
 
Years playing hockey Number of players
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`text(Age and Height.)`

Show Worked Solution

`text(Age and Height.)`

`text(Each data category needs to have a number of)`

`text(possibilities and the chosen pair need a general)`

`text(correlation. Age and height is the most likely.)`

Filed Under: Data and Interpretation, Data and Statistics Tagged With: Band 8, smc-3190-10-Dot plots, smc-681-10-Dot plots

Statistics, NAP-H4-NC05

The progression of the world pole vault record is graphed below.
 

 

By about how many centimetres did the world record increase between 1985 and 2005?

`13` `19` `21` `25`
 
 
 
 
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`21\ text(cm)`

Show Worked Solution
`text(Increase)` `= 6.05\ text(m) – 5.84\ text(m)`
  `= 21\ text(cm)`

Filed Under: Data and Interpretation, Data and Statistics Tagged With: Band 7, smc-3190-10-Dot plots, smc-681-10-Dot plots

Statistics, NAP-I4-CA21

Kate made a dot plot to show the ages of all her cousins.
 

    naplan-2016-21mc

What is the range of ages of all Kate's cousins?

`4`    `8`  `11` `12`
 
 
 
 
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`8`

Show Worked Solution

`text(Range) = 17 – 9 = 8`

Filed Under: Data and Interpretation, Data and Statistics Tagged With: Band 9, smc-3190-10-Dot plots, smc-3190-30-Mean/median/mode/range, smc-681-10-Dot plots, smc-681-30-Mean/median/mode/range

Statistics, NAP-I4-NC06

The heights, in centimetres, of children in Patrick's soccer team are as follows:

   `120, \ 123, \ 120, \ 128, \ 117, \ 128, \ 124, \ 127, \ 123`

Select the dot plot that correctly displays the data.

 
nap-169-nc06-a1
 
nap-169-nc06-b
 
nap-169-nc06-c
Show Answers Only

nap-169-nc06-c

Show Worked Solution

nap-169-nc06-c

Filed Under: Data and Interpretation, Data and Statistics Tagged With: Band 5, smc-3190-10-Dot plots, smc-681-10-Dot plots

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