SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

Statistics, NAP-A4-NC31

This graph shows the number of goals a soccer team scored in a full season.
 

 
One match incorrectly recorded the team scoring no goals when they scored one.

What effect does this have on the mean and mode of the data?

 
 The mean decreases and the mode changes.
 
 The mean increases and the mode changes.
 
 The mean decreases and the mode does not change.
 
 The mean increases and the mode does not change.
Show Answers Only

`text(The mean increases and the mode does not change.)`

Show Worked Solution

`text(Total goals scored in the season increases by one.)`

`=>\ text(mean increases.)`

`text{The mode of 2 goals scored in a match (9 times)}`

`text(remains the mode after the change.)`

`:.\ text(The mean increases and the mode does not change.)`

Statistics, NAP-J4-CA19

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.)`