1. Find the Mean Salary.Round to the Nearest Whole Dollar Amount

Statistics2.4 Group Quiz

The following data give the annual salaries (in dollars) of 12 out of the 50 governors for 2014. Use the graphing calculator when possible to answer questions 1 – 7.

85,70094,780175,00093,600139,00098,500

130,000100,600117,00095,00090,000130,000

1. Find the mean salary.Round to the nearest whole dollar amount.

2. Find the median salary. Do not round the median.

3. Find the mode, if any.

4. Find the range.

5. Is this data set showing population or sample data?

6. Using your answer from #5, find the standard deviation of the data set. Round to the nearest whole dollar amount.

7. BONUS (+ 2 pts): Use our definition of outlier from section 2.4to show that$175,000 is an outlier.Yes, you must use math to do this.

8. ACT scores in the U.S. are normally distributed, with a bell-shaped curve. It has been found that on the ACT, and. Between what two values would 99.7% of scores fall?

9. The ages of new hires at a corporation were collected and found that the mean age at the date of hire was 29 years old with a standard deviation of 3.6 years. If the data is skewed right, about what percentage of the employees are hired between the ages of 21.8 and 36.2?

10. The following data give the total number of shoplifters apprehended during each of the past eight weeks at a large department store. Use the data to calculate the mean, range, and standard deviation. Did you use the population values or sample values? Explain why.

Number of shoplifters: 710831512611

11. The following data give the hourly wage rates for 8 of the 20 employees at a company. Use the data to calculate the mean, range, and standard deviation. Did you use the population values or sample values? Explain why.

Hourly Wage: $12.00$11.50 $10.00 $13.75

$9.50 $12.50 $8.75 $13.00

12. The age distribution of a sample of 5000 persons is bell-shaped with a mean of 40 years and a standard deviation of 12 years.

a) What is the approximate percentage of people who are 16 to 64 years old?

b) What is the approximate percentage of people who are 28 to 76 years old?

c) What is the approximate percentage of people who are below 64 years old?

d) What is the approximate percentage of people who are 16 to 52 years old?

e) What is the approximate percentage of people who are 4 to 40 years old?

f) About 99.7% of the people in the sample are between which two ages?

g) Determine the number of people in the sample that are between 52 and 64 years old.

13. The average systolic blood pressure for 4000 women who were screened for high blood pressure was found to be 187 with a standard deviation of 22. If blood pressure is not symmetrical, find the approximate number of women in this group that have a systolic blood pressure between 121 and 253.