Statistics and Probability, NAPX-F4-CA22 SA, NAPX-F3-CA23 SA

Question

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Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

679

Question

A new museum records the number of visitors over 5 days.


Day Visitors
1 220
2 200
3 230
4 220
5 180


The cost of entry for each visitor was $12.

What was the mean total entry fee collected per day?

Worked Solution

Mean number of visitors
= (220+200+230+220+180)÷5(220+200+230+220+180) \div 5
= 210

∴\therefore Mean entry fees per day = 210×12210 \times 12
= $2520

Question Type

Answer Box

Variables

Variable nameVariable value
question
A new museum records the number of visitors over 5 days.
>>| Day | Visitors | |:-:|:-:| | 1 | 220| | 2 | 200| | 3 | 230| | 4 | 220| | 5 | 180|

The cost of entry for each visitor was $12. What was the mean total entry fee collected per day?
workedSolution
sm_nogap Mean number of visitors
>>| | | ---------- | | \= $(220+200+230+220+180) \div 5$ | | \= 210 |

| | | | ------------- | ---------- | | $\therefore$ Mean entry fees per day | \= $210 \times 12$ | | | \= {{{prefix0}}}{{{correctAnswer0}}} |
correctAnswer0
2520
prefix0
$
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer02520

$

Variant 1

DifficultyLevel

680

Question

A bowling rink records the number of visitors over 5 days.


Day Visitors
1 120
2 80
3 100
4 60
5 140


The cost of entry for each visitor was $21.

What was the mean total entry fee collected per day?

Worked Solution

Mean number of visitors
= (120+80+100+60+140)÷5(120+80+100+60+140) \div 5
= 100

∴\therefore Mean entry fees per day = 100×21100 \times 21
= $2100

Question Type

Answer Box

Variables

Variable nameVariable value
question
A bowling rink records the number of visitors over 5 days.
>>| Day | Visitors | |:-:|:-:| | 1 | 120| | 2 | 80| | 3 | 100| | 4 | 60| | 5 | 140|

The cost of entry for each visitor was $21. What was the mean total entry fee collected per day?
workedSolution
sm_nogap Mean number of visitors
>>| | | ---------- | | \= $(120+80+100+60+140) \div 5$ | | \= 100 |

| | | | ------------- | ---------- | | $\therefore$ Mean entry fees per day | \= $100 \times 21$ | | | \= {{{prefix0}}}{{{correctAnswer0}}} |
correctAnswer0
2100
prefix0
$
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer02100

$

Variant 2

DifficultyLevel

682

Question

An aquarium records the number of visitors over 7 days.


Day Visitors
1 540
2 660
3 400
4 320
5 450
6 600
7 880


The cost of entry for each visitor was $40.

What was the mean total entry fee collected per day?

Worked Solution

Mean number of visitors
= (540+660+400+320+450+600+880)÷7(540+660+400+320+450+600+880) \div 7
= 550

∴\therefore Mean entry fees per day = $40×55040 \times 550
= $22 000

Question Type

Answer Box

Variables

Variable nameVariable value
question
An aquarium records the number of visitors over 7 days.
>>| Day | Visitors | |:-:|:-:| | 1 | 540| | 2 | 660| | 3 | 400| | 4 | 320| | 5 | 450| | 6 | 600| | 7 | 880|

The cost of entry for each visitor was $40. What was the mean total entry fee collected per day?
workedSolution
sm_nogap Mean number of visitors
>>| | | ---------- | | \= $(540+660+400+320+450+600+880) \div 7$ | | \= 550 |

| | | | ------------- | ---------- | | $\therefore$ Mean entry fees per day | \= $$40 \times 550$ | | | \= $22 000 |
correctAnswer0
22000
prefix0
$
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer022000

$

Variant 3

DifficultyLevel

684

Question

A zoo records the number of visitors it receives over 5 days.


Day Visitors
1 560
2 880
3 1500
4 2400
5 2900


The cost of entry for each visitor was $32.

What was the mean total entry fee collected per day?

Worked Solution

Mean number of visitors
= (560+880+1500+2400+2900)÷5(560+880+1500+2400+2900) \div 5
= 1648

∴\therefore Mean entry fees per day = $32×164832 \times 1648
= $52 736

Question Type

Answer Box

Variables

Variable nameVariable value
question
A zoo records the number of visitors it receives over 5 days.
>>| Day | Visitors | |:-:|:-:| | 1 | 560| | 2 | 880| | 3 | 1500| | 4 | 2400| | 5 | 2900|

The cost of entry for each visitor was $32. What was the mean total entry fee collected per day?
workedSolution
sm_nogap Mean number of visitors
>>| | | ---------- | | \= $(560+880+1500+2400+2900) \div 5$ | | \= 1648 |

| | | | ------------- | ---------- | | $\therefore$ Mean entry fees per day | \= $$32 \times 1648$ | | | \= $52 736 |
correctAnswer0
52736
prefix0
$
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer052736

$

Variant 4

DifficultyLevel

683

Question

A Universal Studios Los Angeles records the number of visitors it receives over 7 days.


Day Visitors
1 19 657
2 21 300
3 20 900
4 18 568
5 15 700
6 24 600
7 18 449


The cost of entry for each visitor was $45.

What was the mean total entry fee collected per day?

Worked Solution

Mean number of visitors
= (19 657+21 300+20 900+18 568+15 700+24 600+18 449)÷7(19\ 657+21\ 300+20\ 900+18\ 568+15\ 700+24\ 600+18\ 449) \div 7
= 19 882

∴\therefore Mean entry fees per day = $45×1988245 \times 19882
= $894 690

Question Type

Answer Box

Variables

Variable nameVariable value
question
A Universal Studios Los Angeles records the number of visitors it receives over 7 days.
>>| Day | Visitors | |:-:|:-:| | 1 | 19 657| | 2 | 21 300| | 3 | 20 900| | 4 | 18 568| | 5 | 15 700| | 6 | 24 600| | 7 | 18 449|

The cost of entry for each visitor was $45. What was the mean total entry fee collected per day?
workedSolution
sm_nogap Mean number of visitors
>>| | | ---------- | | \= $(19\ 657+21\ 300+20\ 900+18\ 568+15\ 700+24\ 600+18\ 449) \div 7$ | | \= 19 882 |

| | | | ------------- | ---------- | | $\therefore$ Mean entry fees per day | \= $$45 \times 19882$ | | | \= $894 690 |
correctAnswer0
894690
prefix0
$
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer0894690

$

Variant 5

DifficultyLevel

675

Question

A ninja park records the number of visitors over 5 days.


Day Visitors
1 72
2 68
3 46
4 84
5 110


The cost of entry for each visitor was $12.

What was the mean total entry fee collected per day?

Worked Solution

Mean number of visitors
= (72+68+46+84+110)÷5(72+68+46+84+110) \div 5
= 76

∴\therefore Mean entry fees per day = $12×7612 \times 76
= $912

Question Type

Answer Box

Variables

Variable nameVariable value
question
A ninja park records the number of visitors over 5 days.
>>| Day | Visitors | |:-:|:-:| | 1 | 72| | 2 | 68| | 3 | 46| | 4 | 84| | 5 | 110|

The cost of entry for each visitor was $12. What was the mean total entry fee collected per day?
workedSolution
sm_nogap Mean number of visitors
>>| | | ---------- | | \= $(72+68+46+84+110) \div 5$ | | \= 76 |

| | | | ------------- | ---------- | | $\therefore$ Mean entry fees per day | \= $$12 \times 76$ | | | \= {{{prefix0}}}{{{correctAnswer0}}} |
correctAnswer0
912
prefix0
$
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer0912

$

Tags

  • ms_ca