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Statistics, STD2 S1 2019 HSC 39

Two netball teams, Team A and Team B, each played 15 games in a tournament. For each team, the number of goals scored in each game was recorded.

The frequency table shows the data for Team A.
 


 

The data for Team B was analysed to create the box-plot shown.
 

 
 

Compare the distributions of the number of goals scored by the two teams. Support your answer with the construction of a box-plot for the data for Team A.  (5 marks)

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`text(See Worked Solution)`

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`text(Team A: High = 28, Low = 19,)\ Q_1 = 23, Q_3 = 27,\ text{Median = 26}`
 

`text(Team A’s distribution is negatively skewed while)`

♦♦ Mean mark 28%.

`text(Team B’s distribution is slightly positively skewed.)`

`text(The standard deviation of Team A’s distribution is)`

`text(smaller than Team B, as both its IQR and range is)`

`text(smaller.)`

`text(Team B is a more successful team at scoring goals)`

`text(as each value in its 5-point summary is higher than)`

`text(Team A’s equivalent value.)`

Filed Under: Summary Statistics - Box Plots (Std 2), Summary Statistics - Box Plots (Std2-2027), Summary Statistics - Box Plots (Y12) Tagged With: Band 5, common-content, smc-1000-20-Parallel Box-Plots, smc-1000-30-Draw Box-Plots, smc-6313-20-Parallel Box Plots, smc-6313-30-Draw Box Plots, smc-825-30-Draw Box-Plots, smc-smc-825-20-Parallel Box-Plots

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