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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