Statistics Unit Test Answers Unit 9 Lesson 10
1. A large company wants to find out what team-building activity its employees prefer. Which of the following samples can give the most valid generalization?
Answer: 400 randomly chosen employees from the list of all employees
2. A hotel maintenance crew wants to estimate how many of the 12,000 lamps in their 30-story hotel need a new light bulb. Which of the following is a random sample of lamps to be inspected?
Answer: 100 lamps on each floor chosen randomly
3. A local library manager randomly surveys 80 patrons about the type of book they borrow when they visit the library. The manager finds that 3 patrons borrow novels. If the local library has 345 patrons, approximately how many of them borrow novels when they visit the library? Round your answer to the nearest whole number.
Answer: 13 patrons
4. The table shows the times, in minutes, spent shopping by two different groups. First find the mean times each group spent shopping. Then determine the difference in the mean times. Round your answers to one decimal place.
Answers: Group A = 35.4, Group B = 33.6, difference = 1.8.
5. The values of several houses on Mango Street are displayed on the table. What is the median value of these houses?
Answer: 515,000
6. Theo, Ara, Jose, and Dana all got 100 percent on their latest math test. Their scores on the previous six tests are listed. Whose mean test score will increase the most?
Answer: 68, 74, 83, 80, 81, 82
7. The stem-and-leaf plot shows the speeds of the fastest steel roller coasters in Europe. The table shows the speeds of the fastest steel roller coasters in North America.
Answers: rollercoasters in Europe = 37, rollercoasters in North America = 43
8. Anthony wants to know the average daily high temperatures in his town during the summer. He chose two random samples of 10 consecutive days and recorded the daily high temperatures. The daily high temperatures in Fahrenheit are as follows.
Answers: sample 1 = 85.1, sample 2 = 84.8, difference = 0.3
9. These are the scores for two randomly selected lacrosse teams. Find the range of the number of goals scored by each team. Based on the range, which team has a more consistent number of goals scored?
Answers: Lacrosse team 1 = 17, Lacrosse team 2 = 9. Lacrosse team 2 has a more consistent number of goals scored.
10. The dot plots show the gas mileage for randomly selected cars and SUVs. Which data values do both distributions have in common?
Answers: 21, 22
11. The ages of randomly selected employees at two companies are recorded. Their ages are as follows.
Company A: 34, 28, 36, 27, 45, 44, 30, 42, 41, 40, 50, 48, 52, 45, 39, 38
Company B: 29, 32, 48, 51, 49, 37, 33, 35, 36, 40, 45, 48, 43, 43, 44, 48
Which of the following statements is true?
The mean age of employees from Company A is higher than the mean age of employees from Company B.
The median age of employees from Company A is lower than the median age of employees from Company B.
The range of ages of employees from Company A is higher than the range of ages of employees from Company B.
Answer: statements 2 and 3
12. Janette is growing tomato seedlings. She just took measurements of her seedlings, and here are her data, in centimeters.
Answers: 4.87, 4.5
13. What is the difference between the median and the mean of the dataset? Write your answer in decimal form.
Answer: 0.5
14. The image shows the results from a recent math test. How many students took the exam?
Answer: 30
15. Mr. Brauch is curious whether there is a relationship between his students’ participation grades and their overall grades. What would be the most effective way for him to begin to answer this question?
Answer: Graph the data on a scatterplot.
16. DIY but size of population is 225, size of sample is 45.
Answers in a simpler format that's easier to read:
1. 400 randomly chosen employees from the list of all employees
2. 100 lamps on each floor chosen randomly
3. 13 patrons
4. Group A = 35.4, Group B = 33.6, difference = 1.8.
5. 515,000
6. Dana: 68, 74, 83, 80, 81, 82
7. rollercoasters in Europe = 37, rollercoasters in North America = 43
8. sample 1 = 85.1, sample 2 = 84.8, difference = 0.3
9. Lacrosse team 1 = 17, Lacrosse team 2 = 9. Lacrosse team 2 has a more consistent number of goals scored.
10. 21, 22
11. statements 2 and 3
12. 4.87, 4.5
13. 0.5
14. 30
15. Graph the data on a scatterplot.
16. DIY but size of population is 225, size of sample is 45.
All answers are correct in 2024!
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