#### Question Details

Case Study Chapter 2 Elementary Statistics The following data set shows prices of 50 college textbooks in a community college bookstore, rounded to...

please answer all questions,.....................................................................Case Study Chapter 2

Elementary Statistics

The following data set shows prices of 50 college textbooks in a community college bookstore, rounded to the

nearest dollar.

76

19

83

45

88

70

62

84

85

87

86

37

88

45

75

83

126

56

30

33

26

88

30

30

25

89

32

48

66

47

115

36

30

60

36

140

47

82

138

50

126

66

45

107

112

12

97

96

78

60

Answer the following questions based on this data.

You must show all work and formulas used, including

labels on final answers, in order to receive full credit.

Round decimals to three places

unless otherwise noted

.

1.

Make a frequency distribution to organize your data using five classes.

Below is a template that you can use

for your frequency distribution. [One of the columns is for a tally column, which you may omit if you do not

need it.]

(12 points)

2.

Using information from your frequency distribution in question 1, estimate the

sample mean of the frequency

distribution

to find the average price of a textbook.

You can use the table below to setup the appropriate

columns needed to compute the

sample mean for a frequency distribution

.

You do not need to recopy all of

the columns in the original frequency distribution; you only need to recopy the variables needed to calculate

the mean of a frequency distribution along with showing the extra column(s) needed for this formula.

Once

computed,

round the mean to the nearest whole number

through conventional rounding

.

(12 point

3.

Again using information from your frequency distribution in question 1, estimate the

sample standard

deviation of the frequency distribution

.

You should be using the rounded mean

you have just found in

question 2 in your calculations here.

A template is provided below to use to show your calculations needed

to solve the formula.

You do not need to recopy all of the columns in the original frequency distribution;

you only need to recopy the variables needed to calculate the standard deviation of a frequency distribution

along with showing the extra columns needed for this formula. (12 points)

4.

Find the correlation coefficient for the data from the frequency distribution in question 1, using the

midpoints from the frequency distribution as the x variable and the frequencies as the y variable.

A template

is provided below to create your columns and find their sums to use in the formula.

Determine what type of

correlation the data has.

(12 points)

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