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


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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DATE ANSWERED

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