For which data sets would a histogram be better than a bar graph for displaying the information?the number of gymnasts that fall into each of four 5-year age groups at a tournamentthe number of votes each candidate received in a primary electionthe frequencies of electricity outages during a ten-month period at ten different hospitalsthe number of students who obtained percentage scores in the 50s, 60s, 70s, 80s, and 90s on an examthe percentage of daycare facilities that are state-certified in each of ten cities
Question
For which data sets would a histogram be better than a bar graph for displaying the information?the number of gymnasts that fall into each of four 5-year age groups at a tournamentthe number of votes each candidate received in a primary electionthe frequencies of electricity outages during a ten-month period at ten different hospitalsthe number of students who obtained percentage scores in the 50s, 60s, 70s, 80s, and 90s on an examthe percentage of daycare facilities that are state-certified in each of ten cities
Solution
A histogram would be better than a bar graph for displaying the following data sets:
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The number of gymnasts that fall into each of four 5-year age groups at a tournament: A histogram is better for this data set because it represents the distribution of continuous data (age groups). The bars in a histogram represent the frequency of data points within each interval, which in this case would be the 5-year age groups.
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The frequencies of electricity outages during a ten-month period at ten different hospitals: A histogram would be better for this data set because it represents the frequency of a continuous variable (time). The bars in a histogram represent the frequency of data points within each interval, which in this case would be the ten-month period.
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The number of students who obtained percentage scores in the 50s, 60s, 70s, 80s, and 90s on an exam: A histogram would be better for this data set because it represents the distribution of continuous data (percentage scores). The bars in a histogram represent the frequency of data points within each interval, which in this case would be the score ranges.
On the other hand, a bar graph would be better for displaying the following data sets:
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The number of votes each candidate received in a primary election: A bar graph is better for this data set because it represents categorical data (candidates). Each bar in a bar graph represents a different category.
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The percentage of daycare facilities that are state-certified in each of ten cities: A bar graph is better for this data set because it represents categorical data (cities). Each bar in a bar graph represents a different category.
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