Multiple Choice
Which type of frequency distribution would best summarize the distribution of number of hours worked by volunteers in a community project?
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2. Describing Data with Tables and Graphs
Frequency Distributions
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In a frequency distribution for a numerical variable, intervals are:
A
Always of unequal width to match the data distribution
B
Non-overlapping ranges that group data values into classes
C
Categories based on qualitative characteristics
D
Single values that represent each observation individually
Verified step by step guidance1
Understand that a frequency distribution groups data values into classes or intervals to summarize the data effectively.
Recognize that these intervals should be non-overlapping to ensure each data value fits into exactly one class without ambiguity.
Note that intervals are typically of equal width for numerical data to maintain consistency, but the key property is that they form distinct, non-overlapping ranges.
Distinguish between numerical intervals (used for quantitative data) and categories (used for qualitative data), as frequency distributions for numerical variables use intervals, not categories.
Conclude that the correct description of intervals in a frequency distribution for a numerical variable is 'Non-overlapping ranges that group data values into classes.'
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