Statistics Worksheet

Statistics440.605.80
Litwok
Spring 2023
ASSIGNMENT #1
This assignment consists of 20 questions and corresponds to the Chapters 1 and 2 material. Each
question is worth 5 points. DO NOT USE SPECIFIC EXCEL FUNCTIONS TO
GENERATE YOUR ANSWERS, UNLESS SPECIFICALLY REQUESTED TO DO SO.
YOU MAY, HOWEVER, ALWAYS USE EXCEL TO PERFORM CALCULATIONS.
INPUT YOUR ANSWERS TO THIS ASSIGNMENT IN CANVAS. To do so, go to the
Assignments area and click on the Assignment #1 Answer Input link. You are able to input
your answers in bits and pieces. DO NOT HIT THE “SUBMIT” BUTTON UNTIL YOU
ARE COMFORTABLE WITH ALL OF YOUR ANSWERS. ONCE YOU HIT THE
“SUBMIT” BUTTON, YOUR ANSWERS ARE SUBMITTED AND CANNOT BE
CHANGED.
1. Consider the following distribution of data:
Temperature
70 – under 80
80 – under 90
90 – under 100
100 – under 110
110 – under 119
# Days
4
6
11
7
2
What percentage of days saw temperatures under 110 degrees?
a. 93.3%
b. 7%
c. 23.3%
d. 28%
2. A statewide survey was conducted to investigate the relationship between viewers’
preferences for ABC, CBS, NBC, or PBS for news information and their political party
affiliation. The results are as follows:
Democrat
Republican
Other
How many viewers were surveyed?
a. 12
b. 3,000
c. 50
d. 2,950
ABC
200
450
150
CBS
200
350
400
NBC
250
500
100
PBS
150
200
50
Statistics
440.605.80
Litwok
Spring 2023
3. Refer to the table in question 2. What percentage of viewers prefers to watch CBS?
a. 6.7%
b. 36.5%
c. 31.7%
d. 13.3%
4. Refer to the table in question 2. What percentage of Democrats prefers ABC?
a. 21.4%
b. 6.7%
c. 30%
d. 25%
5. The number of hours worked (per week) by 400 statistics students is shown below.
Number of hours
0- 9
10 – 19
20 – 29
30 – 39
Frequency
20
80
200
100
The class width for this distribution
a. is 9
b. is 10
c. is 39
d. varies from class to class
6. Refer to the table in question 5. The cumulative frequency for the class of 20 – 29
a. is 200
b. is 300
c. is 0.75
d. is 0.5
7. Refer to the table in question 5. The cumulative relative frequency for the class of 30 – 39 is
a. 100%
b. 75%
c. 50%
d. 25%
8. Refer to the table in question 5. If a cumulative frequency distribution is developed for the
data, the last class will have a cumulative frequency of
a. 100
b. 1
c. 30 – 39
d. 400
Statistics
440.605.80
Litwok
Spring 2023
9. A researcher is gathering data from four geographical areas designated: South = 1; North = 2;
East = 3; West = 4. The designated geographical regions represent
a. quantitative data
b. categorical data
c. qualitative data
10. For the following observations, plot a scatter plot and indicate what kind of relationship
exists between x and y.
x
8
5
3
2
1
y
4
5
9
12
14
a. positive
b. negative
c. no relationship
11. A sample of 15 children shows their favorite restaurants:
McDonalds
Friday’s
Pizza Hut
Mellow Mushroom
McDonalds
Luppi’s
McDonalds
Taco Bell
Luppi’s
Friday’s
Mellow Mushroom
McDonalds
McDonalds
Pizza Hut
McDonalds
Which of the following is the correct frequency distribution?
a. McDonald’s 4, Friday’s 3, Pizza Hut 1, Mellow Mushroom 4, Luppi’s 3, Taco Bell 1
b. McDonald’s 6, Friday’s 2, Pizza Hut 2, Mellow Mushroom 2, Luppi’s 2, Taco Bell 1
c. McDonald’s 6, Friday’s 1, Pizza Hut 3, Mellow Mushroom 1, Luppi’s 2, Taco Bell 2
d. none of the above
12. Refer to question 11. Which of the following is the correct relative frequency for
McDonald’s?
a. 0.27
b. 0.5
c. 0.4
d. 0.6
13. Refer to question 11. How large would the wedge of a pie chart be for Taco Bell?
a. 1%
b. 25%
Statistics
440.605.80
Litwok
Spring 2023
c. 16.7%
d. 6.7%
14. Twenty employees of the Ahmadi Corporation were asked if they liked or disliked the new
district manager. Below you are given their responses. Let L represent liked and D represent
disliked.
L
D
D
D
L
D
L
D
D
L
D
L
L
L
D
D
D
D
L
L
Construct a frequency and relative frequency distribution of these data. What is the frequency
associated with those who like the new district manager?
a. 9
b. 11
c. 20
d. 0.45
e. none of the above
15. Below you are given the examination scores of 20 students.
52
63
92
90
99
72
58
75
92
76
65
74
86
95
79
56
84
88
80
99
Construct a frequency, cumulative frequency, relative frequency, and cumulative relative
frequency distribution of these data. Let class width be 10 for all classes and let the first
class be 50 – 59. How many total classes comprise each distribution?
a. 3
b. 4
c. 5
d. 6
e. none of the above
16. Refer to question 15. What is the frequency associated with the 80 – 89 class?
a. 2
b. 3
c. 4
d. 5
e. none of the above
17. Refer to question 15. What is the cumulative frequency associated with the 70 – 79 class?
Statistics
440.605.80
Litwok
Spring 2023
a.
b.
c.
d.
e.
3
5
10
14
none of the above
18. Refer to question 15. What is the relative frequency associated with the 90 – 99 class?
a. 0.10
b. 0.15
c. 0.20
d. 0.25
e. none of the above
19. Refer to question 15. What is the cumulative relative frequency associated with the 80 – 89
class?
a. 0.10
b. 0.15
c. 0.20
d. 0.25
e. none of the above
20. Refer to question 15. The best way to graphically represent these data is by using a _____.
a. pie chart
b. scatter plot
c. histogram
d. bar chart
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