1. Jeremy called eight appliance stores and asked the price of a specific model of the microwave oven. The prices quoted are listed below:

$119 $494 $179 $634 $426 $285 $317 $492

2. Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present in the original data.

20.0 21.5 27.4 47.3 13.1 11.1

3. Find the variance for the given data. Round your answer to one more decimal place than the original data.

13.9 12.0 13.0 12.3 10.5

4. Find the number of standard deviations from the mean. Round your answer to two decimal places. The test scores on the Chapter 1 mathematics test have a mean of 58 and a standard deviation of 14. Andrea scored 87 on the test. How many standard deviations from the mean is that?

2.07 standard deviations above the mean

2.07 standard deviations below the mean

0.51 standard deviations above the mean

0.51 standard deviations below the man

5. Find the standard deviation of the data summarized in the given frequency distribution. A company had 80 employees whose salaries are summarized in the frequency distribution below. Find the standard deviation. salary --- employees answer options - $8256.5 5,001-10,000 17 - $8728.3

10,001-15,000 14 - $8492.4 15,001-20,000 10 - $7863.3

20,001-25,000 13 25,001-30,000 26

6. Determine which score corresponds to the higher relative position. Which score has the highest relative position: a score of 32 on a test for whichx= 26 and s = 10, a score of 5.7 on a test for whichx =4.7 and s= 1.3, or a score of 394.5 on a test for whichx= 374 ands= 41?

A score of 32

A score of 394.5

A score of 5.7

7. Find the z-score corresponding to the given value and use the z-score to determine whether the value is unusual. Consider a score to be unusual if its z-score is less than -2.00 or greater than 2.00. Round the z-score to the nearest tenth if necessary. A weight of 105 pounds among a population having a mean weight of 159 pounds and a standard deviation of 22.4 pounds.

2.4; not unusual

-53.8; unusual

-2.4; not unusual

-2.4; unusual

8. Solve the problem. Round results to the nearest hundredth. Scores on a test have a mean of 70 and a standard deviation of 11. Michelle has a score of 48. Convert Michelle's score to a z-score.

22

-22

-2

2

9. Solve the problem. The heights of the adults in one town have a mean of 67.5 inches and a standard deviation of 3.4 inches. What can you conclude from Chebyshev's theorem about the percentage of adults in the town whose heights are between 57.3 and 77.7 inches?

The percentage is at most 99.7%

The percentage is at least 88.9%

The percentage is at most 88.9%

The percentage is at least 99.7%

10. Use the empirical rule to solve the problem. The systolic blood pressure of 18-year-old women is normally distributed with a mean of 120 mmHg and a standard deviation of 12 mmHg. What percentage of 18-year-old women have systolic blood pressure between 96 mmHg and 144 mmHg?

68%

99.7%

95%

99.99%