Averages
Application of Averages
Probability (7)
Interpreting Graphs
Probability (6)
100
Sam recorded the hours she worked each week at her part-time job, for 10 weeks. Here are the hours: 15, 12, 16, 10, 15, 15, 3, 18, 12, 10. What is the mode?
Mode: 15 h
100
Which type of averages would you use if you wanted to find out which size of sandals to reorder in a shoe store?
Mode. (the store needs to restock the sizes that sell most often)
100
Twenty cards are numbered from 1 to 20. The cards are shuffled. A card is drawn. What is the probability that that card has an odd number?
10/20 = 1/2; 50% or 1:2
100
Would you use a line graph or a series of points to display the data for the number of books sold by a store every day for 1 week?
Series of points
100
What is the theoretical probability that you will get heads when you toss a coin?
1/2
200
Sam recorded the hours she worked each week at her part-time job, for 10 weeks. Here are the hours: 15, 12, 16, 10, 15, 15, 3, 18, 12, 10. What was the mean?
Mean: 12.6 h
200
Which type of average would you choose to use for the test scores of a Grade 7 class?
Median. There are likely to be high and low scores and the middle score (median) will be less affected by the extreme scores.
200
Twenty cards are numbered from 1 to 20. The cards are shuffled. A card is drawn. What is the probability that that card has a multiple of 4?
5/20 = 1/4; 25% or 1:4
200
Would you use a line graph or a series of points to display the data for the volume of water in a swimming pool as it fills?
Line graph
200
What is the theoretical probability that you get a 5 when rolling a 6-sided die?
1/6
300
Sam recorded the hours she worked each week at her part-time job, for 10 weeks. Here are the hours: 15, 12, 16, 10, 15, 15, 3, 18, 12, 10. What was the median?
Median: 13.5 h
300
What type of average would you use to describe the salaries in a company with 1000 employees.
Mean. When there are lots of employees, the mean is the better average because there are less likely to be wages that are significantly different from other wages.
300

Twenty cards are numbered from 1 to 20. The cards are shuffled. A card is drawn. What is the probability that that card has a prime number?

8/20 = 2/5; 40% or 2:5

300
Would you use a line graph or a series of points to display the data for the temperature of an oven as it heats up?
Line graph
300
What is the theoretical probability of randomly picking a red marble form a bag that contains 3 green, 5 blue, and 1 red marble?
1/9
400
Sam recorded the hours she worked each week at her part-time job, for 10 weeks. Here are the hours: 15, 12, 16, 10, 15, 15, 3, 18, 12, 10. What was the outlier?
3 hours
400
What average would you use to describe the salaries in a company with 6 employees?
Median. When there are so few employees, the median is the better average because the mean would be greatly affected by an extreme value. The 6 wages are probably quite different.
400
Twenty cards are numbered from 1 to 20. The cards are shuffled. A card is drawn. What is the probability that that card has a number greater than 30?
0/20 = 0; 0% or 0:20
400
Would you use a line graph or a series of points to display the data for the population of Vancouver from 2007-2017?
Series of points
400
Nathan and Chris made up a game with a spinner. It has 8 equal sectors labelled: 6, 24, 9, 29, 15, 7, 18, 12. Nathan wins if the pointer lands on multiples of 2, Chris wins if the pointer lands on a multiple of 3. Is this a fair game? Why or why not?
No.
500

Sam recorded the hours she worked each week at her part-time job, for 10 weeks. Here are the hours: 15, 12, 16, 10, 15, 15, 3, 18, 12, 10. Should the outlier be used in reporting the average number of hours Sam worked? Explain.

No, it was not a typical work week for Sam. I assume she was sick or studying for exams.

500
Using a tree diagram, what is the probability of rolling the same number on two dice?
Adding up all the possible ways to roll doubles (1,1; 2,2; 3,3; 4,4; 5,5; 6,6). There are 6 ways we can roll doubles, or a probability of 6/36, or 1/6, on any roll of two fair dice.
500
Twenty cards are numbered from 1 to 20. The cards are shuffled. A card is drawn. What is the probability that that card has a number divisible by 1?
20/20 = 1; 100% or 1:1
500
What is an example of a questionnaire?
Includes: unbiased question, variety of choices, "other" category.
500
Nathan and Chris made up a game with a spinner. It has 8 equal sectors labelled: 6, 24, 9, 29, 15, 7, 18, 12. Nathan wins if the pointer lands on multiples of 2, Chris wins if the pointer lands on a multiple of 3. What is the theoretical probability that the pointer will land on a multiple of 3?
6/8 or 3/4
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