Multiple Choice Answers

Question 1
To form a __________ we form a ratio between each frequency and the total number of scores in the set.
A. stem-and-leaf display
B. frequency distribution
C. relative frequency distribution
D. frequency polygon

Question 2
Please use the following to answer questions 2-3:
Class Scores Frequency (f)
(lower limit < value < upper limit)
0-20 6
20-40 9
40-60 15
60-80 12
80-100 8
What is the relative frequency of the 20–40 class?
A. 0.30
B. 0.18
C. 0.225
D. 9

Question 3
What is the percent frequency of the 60-80 class?
A. 12%
B. 24%
C. 30%
D. 84%

Question 4
For Questions 4-7, use the following data:
The number of file conversions performed by a processor per day for 10 days was:
15, 27, 25, 28, 30, 31, 22, 25, 27, 29
What is the arithmetic mean of the data?
A. 20.7
B. 25.9
C. 27
D. 29

Question 5
What is the trimmed mean of the data?
A. 22.875
B. 26.625
C. 31.525
D. 34.375

Question 6
What is the median of the data?
A. 26
B. 26.5
C. 27
D. There is no median for this data set.

Question 7
What is the mode of the data?
A. 25
B. 25
C. There is no mode for the data set.
D. The data set is bimodal, with modes of 25 and 27.

Question 8
Sample data on employee age for a large auto parts manufacturer are as follows:
Employee Age Frequency
25-29 25
30-34 33
35-39 62
40-44 26
45-49 31
50-54 8
What is the mean age of the employees?
A. 37
B. 37.32
C. 37.78
D. 38.83

Question 9
Calculate the range, variance, and standard deviation of the following data set:
5, 5, 6, 6, 6, 8, 8, 8, 8, 10, 10, 11, 12, 12, 20

A. Range = 15; Variance = 225; Standard Deviation = 7.5
B. Range = 3.85; Variance = 14; Standard Deviation = 3.74
C. Range = 20; Variance = 15; Standard Deviation = 4
D. Range = 15; Variance = 14.82; Standard Deviation = 3.85

Question 10
For questions 10-13, use the following data:
13 29 41 60 89 14 26 53 7 14
What is the arithmetic mean of the data?
A. 20
B. 14
C. 34.6
D. 82

Question 11
What is the range of the data?
A. 14
B. 34.6
C. 82
D. 50

Question 12
What is the variance of the data?
A. 231.04
B. 616.64
C. 685.16
D. 1,197.16

Question 13
What is the standard deviation of the data?
A. 0.2
B. 26.18
C. 24.83
D. 34.61

Question 14
A probability is always expressed as a value from:
A. 0 and 1.
B. -1 and 1.
C. 0 and 100.
D. 0 and 10.

Question 15
Records at a high school indicate that each year for the past five years, 120 of the 1,500 students were absent on the first day of hunting season. What is the likelihood that a particular student will be absent on the first day of hunting season this year?
A. 0.08
B. 0.12
C. 0.18
D. 0.20

Question 16
A study of a manufacturing process indicates that 120 of 6,000 units produced are defective. If a sampler selected 100 units, how many defective units would he expect to be present?
A. 2
B. 5
C. 6
D. 10

Question 17
Six red balls and four blue balls are placed in a container. What is the probability that the first ball drawn from the container is blue?
A. 0.286
B. 0.40
C. 0.60
D. 0.67

Question 18
Please answer questions 18-19 using the following information:
Class Scores Frequency – f
Lower limit < score < upper limit
20-30 6
30-40 10
40-50 12
50-60 8
60-70 4
What is the probability that a selected observation is between 40 and 50?
A. 0.25
B. 0.30
C. 0.40
D. 0.65

Question 19
What is the probability that a selected observation is greater than 39, but less than 60?
A. 0.20
B. 0.40
C. 0.30
D. 0.50