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Mathematics
9th -
12thgrade
Algebra 2 - Unit 11 Review Round 1 (Marianiello)
12 questions
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- 1. Multiple Choice
At the end of the month, a restaurant manager used the total food sales for the month and the total number of customers for the month to calculate that the mean amount spent per customer during that month was $12.59. Is this value a statistic or a parameter? Explain.
Parameter because it is likely that the income is nearly steady from month to month.
Statistic because it involves quantities that are likely to change from one month to the next.
Statistic because it only gives a sample of the yearly income despite using every customer during the month.
Parameter because it involves the entire population of the restaurant's customers during that month and because the restaurant wanted to know only about that one month.
- 2. Multiple Choice
Select a statistical question that uses a categorical variable.
How much change do you have in your pocket?
How much do you spend on groceries each month?
How many words do you actively use on average?
What is your favorite primary color?
- 3. Multiple Choice
Select a statistical question that uses a quantitative variable
What types of pets do you own?
What is your hourly wage?
What is the tallest building in Chicago?
What is your favorite class?
- 4. Multiple Choice
Why is the following a statistical question?
"How many hours do students spend using computers each night?"
Different students can spend different amounts of time using computers.
The question asks only about one night
Some students might not use a computer some nights.
Some students might not have computers.
- 5. Multiple Choice
The data above were collected from all race participants to answer the question, "What is the average age of runners in the Fall Harvest 5K?" Does this histogram represent data related to a parameter or statistic? Explain your response.
Statistic because it involves data that are likely to change from race to race.
Parameter because the age of racers is unlikely to change drastically.
Parameter because it represents data collected from the entire population of racers.
Statistic because the median and average are close together.
- 6. Multiple Choice
To investigate a community's reading habits, a newspaper conducts a poll from a table near the exit of a history museum.
What is the sampling method?
random sampling
systematic sampling
self-selected sampling
convenience sampling
- 7. Multiple Choice
To investigate a community's reading habits, a newspaper conducts a poll from a table near the exit of a history museum.
Does this sampling method have any bias? Explain.
Yes, because the location is at a history museum, the sample may overrepresent the number of readers in the community.
Yes, because the location is at a history museum, the sample may underrepresent the number of readers in the community.
Yes, because the poll is leading. It suggests that a certain answer is wanted.
No, the sampling method has no bias because part of the population equally represents the entire population.
- 8. Multiple Choice
Identify the type of study method described in the following situation and explain whether the sample statistics can be used to make a general conclusion about the population.
"A list of students is randomly generated from the school database. Information for every student is entered into the database, and each student has an equally likely chance of being selected. The students selected are asked how much time they spend on household chores each week."
Survey; the statistics can be used to make a general conclusion about the population because the sample is randomly generated, and the survey question does not introduce a bias into the study.
Controlled experiment; the statistics of this study can be used to make a general conclusion about the time spent on household chores for these particular students as compared with other students not in the study.
Observational study; the statistics are somewhat unreliable in this study because not all students have an equally likely chance of being selected. Although the data collected cannot be used to make a general conclusion about the entire population, it may still give useful information.
- 9. Multiple Choice
Maurice's teacher asked him to compare the mean and median of the data distribution. Explain and correct Maurice's error in comparing the mean and median.
Maurice is incorrect about the mean and median; the mean is equal to the median.
Maurice is incorrect about the mean and median; the mean is greater than the median.
Maurice is incorrect about the skew; the distribution is actually symmetric.
Maurice is incorrect about the skew; the distribution is actually skewed left.
- 10. Fill in the Blank
Find the mean for the following set of data:
7, 16, 19, 21, 23, 29, 35, 39, 48, 52
(round answer to one decimal)
- 11. Fill in the Blank
Find the standard deviation for the following set of data:
7, 16, 19, 21, 23, 29, 35, 39, 48, 52
(round answer to one decimal)
- 12. Multiple Choice
Find the 5-number summary for the following set of data:
7, 16, 19, 21, 23, 29, 35, 39, 48, 52
(round answer to one decimal)
7, 16, 19, 21, 23
29, 35, 39, 48, 52
7, 19, 26, 39, 52
7, 16, 23, 48, 52
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