Question

1. which of the following does not need to be done when constructing a frequency distribution? a) select the number of classes desired b) find the range c) make the class width an even number d) use classes that are mutually exclusive 2. in an ungrouped frequency distribution of the average age of high school graduates, what would be the boundaries for the class of graduates who were reported to be 18 years old? a) 17 - 19 years old b) 17.5 - 18.5 years old c) 17.6 - 18.5 years old d) 17.6 - 19.5 years old 3. greg wants to construct a frequency distribution for the political affiliation of the employees at owens hardware store. what type of distribution would be best? a) ungrouped b) grouped c) categorical d) cumulative 4. what is the lower class limit of the class 13 - 17? a) 15 b) 17 c) 13 d) 12.5 5. what is the upper class boundary of the class 23 - 35? a) 35 b) 7.5 c) 35.5 d) 7 6. which type of graph represents the data by using vertical bars of various heights to indicate frequencies? a) ogive b) frequency polygon c) histogram d) cumulative frequency 7. what are the boundaries of the class 1.87 - 3.43? a) 1.82 - 3.48 b) 1.87 - 3.43 c) 1.879 - 3.439 d) 1.865 - 3.435 8. graphs that show distributions using proportions instead of raw data as frequencies are called a) relative frequency graphs. b) ogive graphs. c) histograms. d) frequency polygons.

Explanation:

1. When constructing a frequency - distribution, the class width doesn't have to be an even number. Selecting the number of classes, finding the range, and using mutually - exclusive classes are necessary steps.
2. In an ungrouped frequency distribution for age, the boundaries for 18 - year - olds are 17.5 - 18.5 years old to account for possible measurement accuracy.
3. Political affiliation is a categorical variable, so a categorical distribution is best for it.
4. The lower class limit of the class 13 - 17 is 13.
5. The upper class boundary of the class 23 - 35 is 35.5. We add 0.5 to the upper class limit for continuous data.
6. A histogram represents data using vertical bars of various heights to indicate frequencies.
7. For the class 1.87 - 3.43, the boundaries are 1.865 - 3.435. We subtract and add 0.005 to the class limits.
8. Graphs that show distributions using proportions instead of raw data as frequencies are called relative frequency graphs.

Answer:

1. C. make the class width an even number
2. B. 17.5 - 18.5 years old
3. C. categorical
4. C. 13
5. C. 35.5
6. C. histogram
7. D. 1.865 - 3.435
8. A. relative frequency graphs