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1. When a distribution is...

1. When a distribution is bell-shaped, approximately what percentage of data values will fall within one standard deviation of the mean?

A. 50% B 95% C. 68% D. 99.7%

2. What is the relationship between the variance and the standard deviation? What are the symbols used to represent the sample variance and standard deviation? Why is the unbiased estimator of variance used?

3. Nine households had the following number of children per household:

2, 0, 2, 2, 1, 2, 4, 3, 2

Find the mean, median, mode, and midrange for these data.

4. a) Use Chebyshev's theorem to find what percent of the values will fall between 120 and 150 for a data set with mean of 135 and standard deviation of 7.5.

b) Use the Empirical Rule to find what two values 95% of the data will fall between for a data set with mean 234 and standard deviation of 12.

5. Find P25 for the following data: 2 6 3 4 2 1 2 0 1 &nb sp; 3 6 3

6. You are given the following frequency distribution for the number of errors 10 students made in a test

Errors Frequency

0-2 14

3-5 13

6-8 11

9-11 8

12-14 9

Find: a. mean b. variance c. standard deviation.

7. An aptitude test has a mean of 220 and standard deviation of 10. find the corresponding z score for: a) a test score of 232 b) a test score of 212

8. You are given the following data.

x y

2 14

3 13

4 11

5 8

5 9

7 4

7 3

Find

a. SS(x)

b. SS(y)

c. SS(xy)

d. The linear correlation coefficient, r

e. The slope b1

f. The y-intercept, b0

g. The equation of the line of best fit.

A. 50% B 95% C. 68% D. 99.7%

2. What is the relationship between the variance and the standard deviation? What are the symbols used to represent the sample variance and standard deviation? Why is the unbiased estimator of variance used?

3. Nine households had the following number of children per household:

2, 0, 2, 2, 1, 2, 4, 3, 2

Find the mean, median, mode, and midrange for these data.

4. a) Use Chebyshev's theorem to find what percent of the values will fall between 120 and 150 for a data set with mean of 135 and standard deviation of 7.5.

b) Use the Empirical Rule to find what two values 95% of the data will fall between for a data set with mean 234 and standard deviation of 12.

5. Find P25 for the following data: 2 6 3 4 2 1 2 0 1 &nb sp; 3 6 3

6. You are given the following frequency distribution for the number of errors 10 students made in a test

Errors Frequency

0-2 14

3-5 13

6-8 11

9-11 8

12-14 9

Find: a. mean b. variance c. standard deviation.

7. An aptitude test has a mean of 220 and standard deviation of 10. find the corresponding z score for: a) a test score of 232 b) a test score of 212

8. You are given the following data.

x y

2 14

3 13

4 11

5 8

5 9

7 4

7 3

Find

a. SS(x)

b. SS(y)

c. SS(xy)

d. The linear correlation coefficient, r

e. The slope b1

f. The y-intercept, b0

g. The equation of the line of best fit.

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