Back to Represent data with plots — Problem 5 · Task Set 1

Exercises: Represent Data with Plots on the Real Number Line

Work through each section in order. For plots, read carefully: dot plots show every individual value, histograms group values into intervals (bars touch), and box plots summarize data with the five-number summary (minimum, Q1, median, Q3, maximum). Write explanation answers in complete sentences.

Grade 9·22 problems·~35 min·Common Core Math - HS Statistics and Probability·group·hss-id-a-1

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Fluency Practice

Read each plot and answer. Use the displayed values.

$Left: histogram with touching bars over continuous intervals. Right: bar graph with gaps between bars over distinct categories.$

The figure below shows two displays side by side. Which statement correctly distinguishes a histogram from a bar graph?

A histogram shows quantitative data grouped into intervals with bars that touch (no gaps); a bar graph shows categorical data with gaps between bars.

They are the same display; "histogram" and "bar graph" are interchangeable names.

A histogram always has gaps between bars; a bar graph never does.

A bar graph is for quantitative data and a histogram is for categories.