# Project #27897 - Statistics

Complete the following exercises from "Questions and Problems" located at the end of each chapter and put them into a Word document to be submitted as directed by the instructor.

1. Chapter Three # 2, 3, 5, 10, 15

2. Chapter Four # 2, 3, 4, 6, 11, 15, 16, 17, 22, 35, 37

(2). How do bar graphs, histograms, and frequency polygons

Differ in construction? What type of scaling is?

Appropriate for each?

(3).The following table gives the 2002 median annual

Salaries of various categories of scientists in the

United States holding PhDs. Construct a bar graph

For these data with “Annual Salary” on the Y axis and

“Category of Scientist” on the X axis. Arrange the

Categories so that the salaries decrease from left to

Right.

Category of Scientist

Annual

Salary (\$)

Biological and Health Sciences 70,100

Chemistry 79,100

Computer and Math Sciences 75,000

Psychology 66,700

Sociology and Anthropology 63,100

(5).The following scores were obtained by a college sophomore

Class on an English exam:

60 94 75 82 72 57 92 75 85 77 91

72 85 64 78 75 62 49 70 94 72 84

55 90 88 81 64 91 79 66 68 67 74

45 76 73 68 85 73 83 85 71 87 57

82 78 68 70 71 78 69 98 65 61 83

84 69 77 81 87 79 64 72 55 76 68

93 56 67 71 83 72 82 78 62 82 49

63 73 89 78 81 93 72 76 73 90 76

a. Construct a frequency distribution of the ungrouped

Scores (i _ 1).

b. Construct a frequency distribution of grouped

Scores having approximately 15 intervals. List both

The apparent and real limits of each interval.

c. Construct a histogram of the frequency distribution

Constructed in part b.

d. Is the distribution skewed or symmetrical? If it is

Skewed, is it skewed positively or negatively?

e. Construct a stem and leaf diagram with the last

Digit being a leaf and the first digit a stem. Repeat

Stem values twice.

f. Which diagram do you like better, the histogram

Of part c or the stem and leaf diagram of part e?

Explain. Education

5. The following scores were obtained by a college sophomore

Class on an English exam:

60 94 75 82 72 57 92 75 85 77 91

72 85 64 78 75 62 49 70 94 72 84

55 90 88 81 64 91 79 66 68 67 74

45 76 73 68 85 73 83 85 71 87 57

82 78 68 70 71 78 69 98 65 61 83

84 69 77 81 87 79 64 72 55 76 68

93 56 67 71 83 72 82 78 62 82 49

63 73 89 78 81 93 72 76 73 90 76

a. Construct a frequency distribution of the ungrouped

Scores (i _ 1).

b. Construct a frequency distribution of grouped

Scores having approximately 15 intervals. List both

The apparent and real limits of each interval.

c. Construct a histogram of the frequency distribution

Constructed in part b.

d. Is the distribution skewed or symmetrical? If it is

Skewed, is it skewed positively or negatively?

e. Construct a stem and leaf diagram with the last

digit being a leaf and the first digit a stem. Repeat

Stem values twice.

f. Which diagram do you like better, the histogram

Of part c or the stem and leaf diagram of part e?

Explain. Education

(10). the following scores show the amount of weight lost

(in pounds) by each client of a weight control clinic

During the last year:

10 13 22 26 16 23 35 53 17 32

41 35 24 23 27 16 20 60 48 43

52 31 17 20 33 18 23 8 24 15

26 46 30 19 22 13 22 14 21 39

28 43 37 15 20 11 25 9 15 21

21 25 34 10 23 29 28 18 17 24

16 26 7 12 28 20 36 16 14

18 16 57 31 34 28 42 19 26

a. Construct a frequency distribution of grouped

Scores with approximately 10 intervals.

b. Construct a histogram of the frequency distribution

Constructed in part a.

c. Is the distribution skewed or symmetrical? If it is

Skewed, is it skewed positively or negatively?

d. Construct a stem and leaf diagram with the last

Digit being a leaf and the first digit a stem. Repeat

Stem values twice.

e. Which diagram do you like better, the histogram

of part b or the stem and leaf diagram of part d?

Explain. Clinical, health

(15). A small eastern college uses the grading system of

0–4.0, with 4.0 being the highest possible grade. The

Scores shown here are the grade point averages of the

Students currently enrolled as psychology majors at

The college.

2.7 1.9 1.0 3.3 1.3 1.8 2.6 3.7

3.1 2.2 3.0 3.4 3.1 2.2 1.9 3.1

3.4 3.0 3.5 3.0 2.4 3.0 3.4 2.4

2.4 3.2 3.3 2.7 3.5 3.2 3.1 3.3

2.1 1.5 2.7 2.4 3.4 3.3 3.0 3.8

1.4 2.6 2.9 2.1 2.6 1.5 2.8 2.3

3.3 3.1 1.6 2.8 2.3 2.8 3.2 2.8

2.8 3.8 1.4 1.9 3.3 2.9 2.0 3.2

a. Construct a frequency distribution of grouped

Scores with approximately 10 intervals.

b. Construct a histogram of the frequency distribution

Constructed in part a.

c. Is the distribution skewed or symmetrical? If

Skewed, is it skewed positively or negatively?

d. Construct a stem and leaf diagram with the last

Digit being a leaf and the first digit a stem. Repeat

Stem values five times.

e. Which diagram do you like better, the histogram

Of part b or the stem and leaf diagram of part d?

Explain. Education

(2). State four properties of the mean and illustrate each

With an example.

(3). under what condition might you prefer to use the

Median rather than the mean as the best measure of

Central tendency? Explain why.

(4). Why is the mode not used very much as a measure of

Central tendency?

(6). Discuss the relationship between the mean and median

For distributions that are symmetrical and skewed.

(11). Give three properties of the standard deviation.

(15). Give the symbol for each of the following:

a. Mean of a sample

b. Mean of a population

c. Standard deviation of a sample

d. Standard deviation of a population

e. A raw score

f. Variance of a sample

g. Variance of a population

(16). Calculate the mean, median, and mode for the following

Scores:

a. 5, 2, 8, 2, 3, 2, 4, 0, 6

b. 30, 20, 17, 12, 30, 30, 14, 29

c. 1.5, 4.5, 3.2, 1.8, 5.0, 2.2

(17). Calculate the mean of the following set of sample

Scores: 1, 3, 4, 6, 6.

a. Add a constant of 2 to each score. Calculate the

Mean for the new values. Generalize to answer the

Question, “What is the effect on the mean of adding

A constant to each score?”

b. Subtract a constant of 2 from each score. Calculate

The mean for the new values. Generalize

To answer the question, “What is the effect on

The mean of subtracting a constant from each

Score?”

c. Multiply each score by a constant of 2. Calculate

The mean for the new values. Generalize

To answer the question, “What is the effect?

On the mean of multiplying each score by a

Constant?”

d. Divide each score by a constant of 2. Calculate the

Mean for the new values. Generalize to answer the

Question, “What is the effect on the mean of dividing

Each score by a constant?”

(22). Given the following values of central tendency for

Each distribution, determine whether the distribution

Is symmetrical, positively skewed, or negatively

skewed:

a. Mean _ 14, median _ 12, mode _ 10

b. Mean _ 14, median _ 16, mode _ 18

c. Mean _ 14, median _ 14, mode _ 14

(35). A social psychologist interested in the dating habits

Of college undergraduates samples 10 students and

Determines the number of dates they have had in the

Last month. Given the scores 1, 8, 12, 3, 8, 14, 4, 5, 8,

16, compute the following:

a. Mean

b. Median

c. Mode

d. Range

e. Standard deviation

f. Variance social

(37). A biological psychologist records the number of cells

In a particular brain region of cats that respond to a

Tactile stimulus. Nine cats are used. The following

Cell counts/animal are recorded: 15, 28, 33, 19, 24,

17, 21, 34, 12. Compute the following:

a. Mean

b. Median

c. Mode

d. Range

e. Standard deviation

f. Variance biological

 Subject Mathematics Due By (Pacific Time) 04/23/2014 12:00 am
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