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
Please use the following to answer the following two questions:
| Class Scores | Frequency (f) |
| (lower limit < value < upper limit) |
|
| 0-20 | 6 |
| 20-40 | 9 |
| 40-60 | 15 |
| 60-80 | 12 |
| 80-100 | 8 |
Question-2
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%
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
Question-4
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.
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 |
Question-8
What is the mean age of the employees?
A. 37
B. 37.32
C. 37.78
D. 38.83
Question-9
A survey of the number of television sets per household in a city yielded the following results:
| Number of TV Sets | Number of Households |
| 1 | 400 |
| 2 | 800 |
| 3 | 400 |
| 4 | 100 |
What is the trimmed mean of the number of televisions per household?
A. 425
B. 200
C. 340
D. 725
For questions 10-13, use the following data:
13 29 41 60 89 14 26 53 7 14
Question-10
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
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 |
Question-18
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
Question-20
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
