ANSWERS
frequency distribution - correct answer - shows the number of data observations that fall into specific intervals
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- Graphically summarize information not readily observable by merely looking at data in a table
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discrete data - correct answer - are values based on observations that can be counted and are typically
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represented by whole numbers t t t
- represent something that has been counted
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take on whole numbers such as 0, 1, 2, 3
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continuous data - correct answer - are values that can take on any real numbers, including numbers that
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contain decimal points
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usually measured rather than counted
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,- Examples are weight, time, and distance
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examples of discrete data - correct answer Number of children per family
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Number of cars listed per insurance policy t t t t t t
Vacation days per month t t t
example of continuous data - correct answer Time required to read chapter 2
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Thickness of paint applied to a car body t t t t t t t
Voltage of batteries produced in August t t t t t
relative frequency distribution - correct answer - display the proportion of observations of each class relative
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to the total number of observations
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- shows the fraction of observations in each class
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found by dividing each frequency by the total number of observations
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- the fractions in a relative frequency distribution add up to 1.00
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cumulative relative frequency distribution - correct answer totals the proportion of observations that are less
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than or equal to the class at which you are looking
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Shows the accumulated proportion as values vary from low to high
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histogram - correct answer is a graph showing the number of observations in each class of a frequency
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distribution
Excel uses the term "bins" for the classes in the distribution
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method to determine the number of classes in a frequency distribution is the rule - correct answer 2^k > or = n
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,k = Number of classes
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n = Number of data points
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Find the lowest value of k that satisfies the rule
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n = 50 t t
k=5 t t
k=6 t t
which is the better choice? - correct answer 25 = 32 < 50 (k = 5 is too small)
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26 = 64 > 50 (k = 6 is a good choice)
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class width definition and formula - correct answer The width is the range of numbers to put into each class
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maximum data value - minimum date value / k t t t t t t t t
class boundaries - correct answer - represent the minimum and maximum values for each class
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- Choose class boundaries that are easy to read
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3 to less than 6 minutes
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6 to less than 9 minutes
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9 to less than 12 minutes
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3.21 to less than 6.21 minutes t t t t t
6.21 to less than 9.21 minutes t t t t t
9.21 to less than 12.21 minutes t t t t t
rules for classes of grouped data - correct answer *Equal-size classes.* All classes in the frequency distribution
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must be of equal width t t t t
*Mutually exclusive classes.* Class boundaries cannot overlap t t t t t t
, *Include all data values.* Make sure all data values are accounted for in the total row of the frequency
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distribution
*Avoid empty classes.* It is undesirable for a histogram to display a class so narrow that there are no
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observations in it t t
*Avoid open-ended classes (if possible).* These violate the first rule of equal class sizes
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qualitative data - correct answer - values that are categorical t t t t t t t t t
- Can be nominal or ordinal measurement level
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- Describe a characteristic, such as gender or level of education
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Frequency distributions help display qualitative data by - correct answer - indicating the number of
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occurrences of various categories t t t
- Can use Excel's COUNTIF function to count the number of values matching a category label
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bar charts - correct answer are a good tool for displaying qualitative data that have been organized in categories
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pareto charts - correct answer are bar charts that show the frequency of the categories that cause quality
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control problems t t
Show quality problem categories in decreasing order
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The most problematic categories are shown first
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Pareto charts also plot the cumulative relative frequency as a line on the chart known as an *ogive*
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pie charts - correct answer - are another excellent tool for comparing proportions for categorical data
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