Instructions: Please read each instruction carefully. Points awarded for each exercise is shown. Graphs should be done on grid (graph) paper and properly labelled. Points will be taken off for untidy and disorganized work. Use complete sentences where necessary. Project should be professionally done.
Fast Food Comparison
For three fast-food restaurants, a random sample of service times (in seconds) was taken. The results are shown below.
Service Times (in Seconds)
Kim’s Kajun Kitchen Chez Carolyn Emily’s Eatery
111 109 99
94 84 63
57 93 53
80 123 82
78 97 75
110 56 112
92 79 65
34 57 55
67 35 65
122 68 86
95 45 94
46 99 87
103 82 66
110 76 68
95 54 61
86 87 49
75 86 37
49 73 46
61 79 65
82 67 86
78 96 48
92 112 95
65 94 33
92 82 52
94 96 76
106 125 35
112 98 68
83 120 57
72 78 41
119 63 49
1. For each of restaurant’s service times, do the following.
a. Create a frequency distribution with the given classes. Include the class boundaries, midpoints, relative frequency, and cumulative frequency of each class. Three separate frequency distributions.
[9 pts]
Class (Service Times) Frequency Class Boundaries Midpoint Relative
Frequency Cumulative Frequency
30 – 49
50 – 69
70 – 89
90 – 109
110 – 129
b. On grid paper, use the frequency distribution to construct a histogram for each data set.
[9 pts]
c. Based on the graphical descriptions of the data you created, which fast-food restaurant do you believe consistently has the shortest times? Explain why?
[2 pts]
2. What is the class width for the frequency distribution? [1 pt]
3. Construct a frequency polygon using the data for Kim’s Kajun Kitchen. [4 pts]
4. Construct an Ogive using data from Emily’s Eatery. [3 pts]
5. a. Find the five-number summary for the data set from Chez Carolyn. [10 pts]
b. Use the five-number summary to draw a box plot of the data. Don’t forget the labels.
c. Calculate the interquartile range (IRQ)?
d. Use the IRQ to determine if there are any outliers in the data set for Chez Carolyn. Show all your work that you use to determine if there are outliers.
e. What number is at the 80th percentile for the data set from Chez Carolyn?
6. Find the mean of each set of service times. [3 pts]
7. Find the mode of each set of service times. [3 pts]
8. Find the median of each set of service times. [3 pts]
9. Calculate the variance and standard deviation of each data set.
