1. Construct an ungrouped frequency distribution table with the following data. Include

columns for proportion, percentage, cumulative frequency, and percentile rank. Draw a

histogram to represent the data graphically.

5, 7, 8, 4, 7, 9, 6, 6, 5, 3

9, 6, 4, 7, 7, 8, 6, 7, 8, 5

2. Construct a grouped frequency distribution table with the following data, using 10 intervals.

Include columns for proportion, percentage, cumulative frequency, and percentile rank. Draw a

histogram to represent the data graphically.

17, 30, 45, 20, 39, 53, 28, 19, 24, 21, 34, 38, 22, 29, 64

22, 44, 36, 16, 56, 20, 23, 58, 32, 25, 28, 22, 51, 26, 43

3. Construct a grouped frequency distribution table with the following data, using 5 intervals.

Include columns for proportion, percentage, cumulative frequency, and percentile rank. Draw a

histogram to represent the data graphically.

37, 14, 15, 22, 39, 49, 9, 24, 33, 45

22, 2, 36, 7, 35, 19, 23, 41, 11, 25

4. Draw a normal distribution, a positively skewed distribution, and a negatively skewed

distribution. Where would each of the three measures of central tendency approximately be for

each of the distributions?

Central Tendency

1. What is the mean, median and mode of the following data?

5, 4, 5, 2, 7, 1, 3, 5

2. What is the mean, median and mode of the following data?

3, 6, 7, 3, 9, 8, 3, 7, 5

3. What is the mean, median and mode from the following frequency distribution table?

x f

6 1

5 2

4 2

3 2

2 2

1 5

Variability

1. Calculate sum of squares, variance, and standard deviation for the following sample of scores.

7, 4, 2, 1

2. Calculate sum of squares, variance, and standard deviation for the following population of

scores.

0, 0, 5, 0, 3, 0, 0, 4

3. Calculate sum of squares, variance, and standard deviation for the following population of

scores.

1, 6, 10, 9, 4, 6

4. Calculate sum of squares, variance, and standard deviation for the following sample of scores.

10, 4, 8, 5, 8

5. The following sample was pulled from a larger population. Calculate the sum of squares,

variance and standard deviation

x f

13 1

12 0

11 2

10 1

9 3

8 1

Correlation

1. Using the following data, (1) draw a scatter plot, (2) calculate the correlation statistic, (3)

calculate the coefficient of determination, and explain in words what it means. Then explain in

words what the strength and direction of the relationship between the variables is.

x y

0 2

1 4

4 5

3 3

7 6

2. Using the following data, (1) draw a scatter plot, (2) calculate the correlation statistic, (3)

calculate the coefficient of determination, and explain in words what it means. Then explain in

words what the strength and direction of the relationship between the variables is.

x y

0 2

0 1

1 0

2 1

1 2

0 3

3. The following data show the relationship between weight (rated on a 5-point scale where

1=thinnest and 5=heaviest) and income (in thousands). Using these data, (1) draw a scatter plot,

(2) calculate the correlation statistic, (3) calculate the coefficient of determination, and explain in

words what it means. Then explain in words what the strength and direction of the relationship

between the variables is.

Weight Income

1 125

2 78

4 49

3 63

5 35

2 84

5 38

3 51

1 93

4 44