Statistics and Probability, NAPX-J4-CA38, NAPX-J3-CA37

Question

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Worked Solution

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Variant 0

DifficultyLevel

740

Question

The Strikers and the Hurricanes are playing cricket in a 20 over competition.

The stem-and-leaf plots show the number of runs each side has scored in their last 15 games.



Select the true statement about the data.

Worked Solution

Striker's range = 148 − 110148\ −\ 110 = 38

Hurricane's range = 144 − 103144\ −\ 103 = 41

∴\therefore Striker's range < Hurricane's range

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The Strikers and the Hurricanes are playing cricket in a 20 over competition. The stem-and-leaf plots show the number of runs each side has scored in their last 15 games.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-J4-CA381.svg 340 indent3 vpad
Select the true statement about the data.
workedSolution
Striker's range = $148\ −\ 110$ = 38 Hurricane's range = $144\ −\ 103$ = 41 $\therefore$ Striker's range < Hurricane's range
correctAnswer
The range of scores for The Strikers is smaller than the range of scores for The Hurricanes.

Answers

Is Correct?Answer
x

The Strikers had the lowest run score.

x

The Hurricanes had the highest run score.

x

The Strikers scored over 136 runs more times than the Hurricanes.

x

The median score for The Strikers is higher than the median score for The Hurricanes.

✓

The range of scores for The Strikers is smaller than the range of scores for The Hurricanes.

Variant 1

DifficultyLevel

740

Question

The Strikers and the Hurricanes are playing cricket in a 20 over competition.

The stem-and-leaf plots show the number of runs each side has scored in their last 15 games.



Which statement about the data below is true?

Worked Solution

Consider each statement:

Low scores: S=108, H=107S=108, \ H=107 x

High scores: S=146, H=147S=146, \ H=147 x

Scores >132:S=6, H=7> 132: S=6, \ H=7 x

Median: S=127, H=129  ✓S=127, \ H=129 \ \ \checkmark

Range: S=146 − 108=38, H=147 − 107=40S=146\ −\ 108=38, \ H=147\ −\ 107=40 x

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The Strikers and the Hurricanes are playing cricket in a 20 over competition. The stem-and-leaf plots show the number of runs each side has scored in their last 15 games.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/07/NAPX-J3-CA37.svg 340 indent3 vpad
Which statement about the data below is true?
workedSolution
Consider each statement: Low scores: $S=108, \ H=107$ x High scores: $S=146, \ H=147$ x Scores $> 132: S=6, \ H=7$ x Median: $S=127, \ H=129 \ \ \checkmark$ Range: $S=146\ −\ 108=38, \ H=147\ −\ 107=40$ x
correctAnswer
The median score for The Strikers is lower than the median score for The Hurricanes.

Answers

Is Correct?Answer
x

The Strikers had the lowest run score.

x

The Strikers had the highest run score.

x

The Strikers scored over 132 runs more times than the Hurricanes.

✓

The median score for The Strikers is lower than the median score for The Hurricanes.

x

The range of scores for The Strikers is greater than the range of scores for The Hurricanes.

Variant 2

DifficultyLevel

738

Question

The Sydney Swifts and the Melbourne Vixens are playing netball in the Super Netball competition.

The stem-and-leaf plots show the number of goals each side has scored in their last 14 games.



Select the true statement about the data.

Worked Solution

Consider each statement:

Most goals: SS=75, MV=75SS=75, \ MV=75 x

Range: SS=75 − 45=30, MV=75 − 51=24SS=75\ −\ 45=30, \ MV=75\ −\ 51=24 x

Median: SS=58, MV=62  ✓SS=58, \ MV=62 \ \ \checkmark

Lowest scores: SS=45, MV=51SS=45, \ MV=51 x

Scores >60:SS=5, MV=7> 60: SS=5, \ MV=7 x

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The Sydney Swifts and the Melbourne Vixens are playing netball in the Super Netball competition. The stem-and-leaf plots show the number of goals each side has scored in their last 14 games.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stat_Prob_NAPX-J4-CA38_NAPX-J3-CA37_v2_q.svg 360 indent3 vpad
Select the true statement about the data.
workedSolution
Consider each statement: Most goals: $SS=75, \ MV=75$ x Range: $SS=75\ −\ 45=30, \ MV=75\ −\ 51=24$ x Median: $SS=58, \ MV=62 \ \ \checkmark$ Lowest scores: $SS=45, \ MV=51$ x Scores $> 60: SS=5, \ MV=7$ x
correctAnswer
The median score for the Melbourne Vixens is higher than the median score for the Sydney Swifts.

Answers

Is Correct?Answer
x

The Sydney Swifts scored the most goals in any one game.

x

The range of scores for the Melbourne Vixens is greater than the range of scores for the Sydney Swifts.

✓

The median score for the Melbourne Vixens is higher than the median score for the Sydney Swifts.

x

The Melbourne Vixens had the lowest number of goals scored in a single game.

x

The Sydney Swifts scored over 60 goals more times than the Melbourne Vixens.

Variant 3

DifficultyLevel

736

Question

The West Coast Fever and the Netball Giants are playing netball in the Super Netball competition.

The stem-and-leaf plots show the number of goals each side has scored in their last 14 games.



Select the true statement about the data.

Worked Solution

Consider each statement:

Median: WCF=73, NG=65.5WCF=73, \ NG=65.5 x

Lowest scores: WCF=60, NG=43WCF=60, \ NG=43 x

Scores >70:WCF=8, NG=5> 70: WCF=8, \ NG=5 x

Most goals: WCF=86, NG=82WCF=86, \ NG=82 x

Range: WCF=86 − 60=26, NG=82 − 43=39  ✓WCF=86\ −\ 60=26, \ NG=82\ −\ 43=39 \ \ \checkmark

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The West Coast Fever and the Netball Giants are playing netball in the Super Netball competition. The stem-and-leaf plots show the number of goals each side has scored in their last 14 games.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stat_Prob_NAPX-J4-CA38_NAPX-J3-CA37_v3.svg 360 indent3 vpad
Select the true statement about the data.
workedSolution
Consider each statement: Median: $WCF=73, \ NG=65.5$ x Lowest scores: $WCF=60, \ NG=43$ x Scores $> 70: WCF=8, \ NG=5$ x Most goals: $WCF=86, \ NG=82$ x Range: $WCF=86\ −\ 60=26, \ NG=82\ −\ 43=39 \ \ \checkmark$
correctAnswer
The range of scores for the West Coast Fever is less than the range of scores for the Netball Giants.

Answers

Is Correct?Answer
x

The median score for the Netball Giants is higher than the median score for the West Coast Fever.

x

The West Coast Fever had the lowest number of goals scored in a single game.

x

The Netball Giants scored over 70 goals more times than the West Coast Fever.

x

The West Coast Fever and the Netball Giants both had the highest goal score of 82.

✓

The range of scores for the West Coast Fever is less than the range of scores for the Netball Giants.

Variant 4

DifficultyLevel

734

Question

The Sea Eagles and the Panthers are playing rugby league in the Telstra Premiership.

The stem-and-leaf plots show the number of points scored by each team in the first 15 rounds of the 2022 premiership.


Select the true statement about the data.

Worked Solution

Consider each statement:

Lowest scores: SE=0, P=18SE=0, \ P=18 x

Median: SE=22, P=32  ✓SE=22, \ P=32 \ \ \checkmark

Scores >20:SE=9, P=12> 20: SE=9, \ P=12 x

Highest Score: SE=44, P=42SE=44, \ P=42 | Lowest Score: SE=0, P=8SE=0, \ P=8 x

Range: SE=44 − 0=44, P=42 − 18=24SE=44\ −\ 0=44, \ P=42\ −\ 18=24 x

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The Sea Eagles and the Panthers are playing rugby league in the Telstra Premiership. The stem-and-leaf plots show the number of points scored by each team in the first 15 rounds of the 2022 premiership.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stat_Prob_NAPX-J4-CA38_NAPX-J3-CA37_v4.svg 360 indent3 vpad
Select the true statement about the data.
workedSolution
Consider each statement: Lowest scores: $SE=0, \ P=18$ x Median: $SE=22, \ P=32 \ \ \checkmark$ Scores $> 20: SE=9, \ P=12$ x Highest Score: $SE=44, \ P=42$ | Lowest Score: $SE=0, \ P=8$ x Range: $SE=44\ −\ 0=44, \ P=42\ −\ 18=24$ x
correctAnswer
The medians of the Panthers and Sea Eagles differ by 10.

Answers

Is Correct?Answer
x

The Panthers had the lowest score in any one game.

✓

The medians of the Panthers and Sea Eagles differ by 10.

x

The Sea Eagles had more scores greater than 20.

x

The Panthers had the highest score and the lowest score.

x

The range of scores for the Panthers is more than the range of scores for the Sea Eagles.

Variant 5

DifficultyLevel

732

Question

The Knights and the Rabbitohs are playing rugby league in the Telstra Premiership.

The stem-and-leaf plots show the number of points scored by each team in the first 15 rounds of the premiership.


Select the true statement about the data.

Worked Solution

Consider each statement:

Scores > 12: Knights = 9, Rabbitohs = 10 x

Median: Knights = 16, Rabbitohs = 24 x

Median Difference: 24 − 16=824\ −\ 16=8 x

Highest Score: Rabbitohs = 44, Lowest Score: Knights = 0 x

Range: Rabbitohs = 44 − 4 = 40, 2 ×\times Median: Knights = 2 ×2\ \times 16 = 32   ✓\ \ \checkmark

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The Knights and the Rabbitohs are playing rugby league in the Telstra Premiership. The stem-and-leaf plots show the number of points scored by each team in the first 15 rounds of the premiership.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stat_Prob_NAPX-J4-CA38_NAPX-J3-CA37_v5.svg 360 indent3 vpad
Select the true statement about the data.
workedSolution
Consider each statement: Scores > 12: Knights = 9, Rabbitohs = 10 x Median: Knights = 16, Rabbitohs = 24 x Median Difference: $24\ −\ 16=8$ x Highest Score: Rabbitohs = 44, Lowest Score: Knights = 0 x Range: Rabbitohs = 44 − 4 = 40, 2 $\times$ Median: Knights = $2\ \times$ 16 = 32 $\ \ \checkmark$
correctAnswer
The range of scores for the Rabbitohs is more than double the median score of the Knights.

Answers

Is Correct?Answer
x

The Knights had more scores greater than 12.

x

The Knights had the highest median score.

x

The medians of the Knights and the Rabbitohs differ by 10.

x

The Knights had the highest score and the lowest score.

✓

The range of scores for the Rabbitohs is more than double the median score of the Knights.

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