Statistics and Probability, NAPX-I4-CA21

Question

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Worked Solution

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Variant 0

DifficultyLevel

664

Question

Angelica made a dot plot to show the distances she has run in her training for a marathon.

What is the range of the distances Angelica has run?

Worked Solution
Range = high − low
= 25−1825 - 18
= 7 km

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Angelica made a dot plot to show the distances she has run in her training for a marathon. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-I4-CA211.svg 400 indent vpad What is the range of the distances Angelica has run?
workedSolution
| | | | ------------- | ---------- | | Range | \= high − low | | | \= $25 - 18$ | | | \= {{{correctAnswer}}} km |
correctAnswer
7

Answers

Is Correct?Answer
x

3

✓

7

x

21

x

25

Variant 1

DifficultyLevel

666

Question

Eve made a dot plot to show the sales of pet mince, in kilograms, she made during the day.

What is the range of the kilograms of pet mince she sold?

Worked Solution
Range = high − low
= 6−16 - 1
= 5 kg

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Eve made a dot plot to show the sales of pet mince, in kilograms, she made during the day. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stats_Prob_NAPX-I4-CA21_v1a.svg 310 indent vpad What is the range of the kilograms of pet mince she sold?
workedSolution
| | | | ------------- | ---------- | | Range | \= high − low | | | \= $6 - 1$ | | | \= {{{correctAnswer}}} kg |
correctAnswer
5

Answers

Is Correct?Answer
x

1

x

3

✓

5

x

6

Variant 2

DifficultyLevel

670

Question

Brandon made a dot plot to show the hours he worked over the last 16 weeks.


What is the median number of hours that Brandon worked?

Worked Solution
Median = Middle score when arranged in order
= Average of the 8th and 9th scores
= 15+162\dfrac{15+16}{2}
= 15.5 hours

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Brandon made a dot plot to show the hours he worked over the last 16 weeks.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stats_Prob_NAPX-I4-CA21_v2.svg 370 indent vpad What is the median number of hours that Brandon worked?
workedSolution
| | | | ------------- | ---------- | | Median | \= Middle score when arranged in order | | | \= Average of the 8th and 9th scores| | | \= $\dfrac{15+16}{2}$| | | \= {{{correctAnswer}}} hours |
correctAnswer
15.5

Answers

Is Correct?Answer
x

16

x

15.75

✓

15.5

x

15

Variant 3

DifficultyLevel

672

Question

Leila made a dot plot to show the hours she walked each day whilst trekking in Nepal.


What is the range of the hours that Leila trekked?

Worked Solution
Range = 10 −- 0
= 10 hours

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Leila made a dot plot to show the hours she walked each day whilst trekking in Nepal.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stats_Prob_NAPX-I4-CA21_v3.svg 420 indent vpad What is the range of the hours that Leila trekked?
workedSolution
| | | | ------------- | ---------- | | Range | \= 10 $-$ 0 | | | \= {{{correctAnswer}}} hours |
correctAnswer
10

Answers

Is Correct?Answer
x

2

x

6

x

9

✓

10

Variant 4

DifficultyLevel

674

Question

Jennifer made a dot plot to show her maximum heart rate during exercise, in beats per minute, over 20 workouts.


What is her median maximum heart rate?

Worked Solution
Median = Middle score when arranged in order
= Average of the 10th and 11th scores
= 169+1712\dfrac{169+171}{2}
= 170 beats per minute

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Jennifer made a dot plot to show her maximum heart rate during exercise, in beats per minute, over 20 workouts.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stats_Prob_NAPX-I4-CA21_v4.svg 580 indent vpad What is her median maximum heart rate?
workedSolution
| | | | ------------- | ---------- | | Median | \= Middle score when arranged in order | | | \= Average of the 10th and 11th scores| | | \= $\dfrac{169+171}{2}$| | | \= {{{correctAnswer}}} beats per minute |
correctAnswer
170

Answers

Is Correct?Answer
x

171.5

x

171

✓

170

x

169

Variant 5

DifficultyLevel

676

Question

Allen made a dot plot to show the number of eggs he collected from his chickens over the last 14 days.


What is the mean number of eggs Allen collected?

Worked Solution
Mean = Average of the scores
= 1+1+1+1+1+3+3+4+4+4+4+5+5+514\dfrac{1+1+1+1+1+3+3+4+4+4+4+5+5+5}{14}
= 4214\dfrac{42}{14}
= 3 eggs

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Allen made a dot plot to show the number of eggs he collected from his chickens over the last 14 days.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stats_Prob_NAPX-I4-CA21_v5a.svg 310 indent3 vpad What is the mean number of eggs Allen collected?
workedSolution
| | | | ------------- | ---------- | | Mean | \= Average of the scores | | | \= $\dfrac{1+1+1+1+1+3+3+4+4+4+4+5+5+5}{14}$| | | \= $\dfrac{42}{14}$| | | \= {{{correctAnswer}}} eggs |
correctAnswer
3

Answers

Is Correct?Answer
✓

3

x

3.5

x

3.75

x

4

Tags

  • ms_ca