Statistics2.3 & 2.4 ReviewName:

The following data give the annual salaries (in dollars) of 12 out of the 50 governors for 2004. Use the graphing calculator when possible to answer questions 1 – 6. Round mean and standard deviation to the nearest whole dollar amount.

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

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

1. Find the mean salary.2. Find the median salary.3. Find the mode, if any.

4. Is this data set showing population or sample data? Using your answer, find the standard deviation of the data set. Round to the nearest whole dollar amount.

5. Use our definition of outlier from section 2.4 to see if any of the data values are outliers.

6. Which measure of central tendency is best to use for this data set? Explain.

7. In a class, 5 students have a GPA of 3.2, 7 students have a GPA of 2.75, and 11 students have a GPA of 3.5. What is the mean GPA for the students in that class?

8. In a college biology class, student grades are determined using 4 categories: tests, which are 50% of the grade, homework, which is 25% of the grade, lab work, which is 15% of the grade, and attendance which is 10% of the grade. Calculate the student’s grade in biology if they have a 90 for their test grade, a 95 for their homework grade, an 85 for their lab grade and a 92 for their attendance grade.

9. Calculate the GPA of a college student if they have the given grades in the given classes. Use the 4.0 scale for grades.

Grade / Class (credit hours)
B / Pre-calculus – 4 credit hours
A / Intro to Fiction – 3 credit hours
A / First Aid and CPR – 2 credit hours
C / Physics – 4 credit hours
B / Technical writing – 2 credit hours

10. The data below shows the ages of children in a gymnastics class with the given frequencies. Calculate the mean age of the children in the gymnastics class.

Class / Frequency
2 – 4 / 5
5 – 7 / 9
8 – 10 / 14
11 – 13 / 7
14 – 16 / 5

11. The following data give the 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

12. The following data give the hourly wage rates for 8 employees of 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

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. Using Chebychev’s theorem, find the approximate percentage of women in this group have a systolic blood pressure between 143 and 231.

14. 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.