Exercises

Date: 2015-10-07; view: 446.

1. Calculate the mean and median for each of the following data set.

a) 6, 10, 7, 14, 8

b) 2, 1, 4, 2, 1

2. The following data set belongs to a population

5, -7, 2, 0, -9, 12, 10, 7

Calculate the mean, median and mode.

3. Find the mode of each of the following samples

a) 5, 8, 11, 9, 8, 6, 8

b) 7, 12, 8, 7, 10, 11, 8, 6, 10, 13, 7, 8

4. Twelve secretaries were given a typing test, and the time (in minutes) to complete it were as follows:

8, 12, 15, 9, 6, 8, 10, 9, 8, 6, 7, 8

Find the mean, median, and mode.

5. The grade point average (GPA) of 10 students who applied for financial aid are shown below

3.15, 3.62, 2.54, 2.81, 3.97, 1.85, 1.93, 2.63, 2.50, 2.80

Find the mean, median, and mode.

6. During a year, the major earthquakes had Richter magnitudes as shown below

7.0, 6.2, 7.7, 8.0, 6.4, 6.2, 7.2, 5.4, 6.4, 6.5, 7.2, 5.4

Find the mean, median, and mode.

7. Eight participants in a bike race had following finishing times in minutes

28, 22, 26, 33, 21, 23, 37, 24

Find the mean and median for the finishing times.

8. The monthly income in dollars for seven families are

950, 775, 925, 2500, 1150, 850, 975

a) Calculate the mean and median income

b) Which of the two is preferable as a measure of center,

and why?

9. The numbers of defective parts observed on 16 different days are shown below:

11, 14, 18, 14, 21, 17, 13, 21, 25, 19, 17, 13, 28, 13, 17, 18

What statistical measures of central tendency would help summarize this data set?

What information would you report to the production manager?

10. Consider the following two data sets:

Data set I: 10, 12, 17, 8, 15

Data set II: 13, 15, 20, 11, 18

Notice that each value of the second data set is obtained by adding 3 to the corresponding value of the first data set. Calculate the mean for each of these data sets. Comment on the relationship between the two means.

11. Consider the following two data sets:

Data set I: 2, 5, 7, 9, 8

Data set II: 6, 15, 21, 27, 24

Notice that each value of the second data set is obtained by multiplying the corresponding value of the first data set by 3. Calculate the mean for each of these data sets. Comment on the relationship between the two means.