The histogram and stem-and-leaf plot both show the same data for age of shoppers in a store at a given time.

Histogram and stem-and-leaf plot. The histogram contains frequency of number of shoppers based upon the age of shoppers. Age 10 to 19 is 6, 20 to 29 is 7, 30 to 39 is 4, and 40 to 49 is 1.

The stem-and-leaf plot contains a key of stem 1 and leaf 6 means 16. The graph contains stem 0 and no leaves; stem 1 with leaves 1, 6, 8, 8, 9, and 9; stem 2 with leaves 0, 2, 3, 5, 6, 6, and 8; stem 3 with leaves 2, 5, 6, and 9; and stem 4 with leaf 4.

Compare and contrast the two representations describing what different aspects of the data they show.

Question

Ashley Hurley

Mathematics

16 October, 09:03

The histogram and stem-and-leaf plot both show the same data for age of shoppers in a store at a given time.

Histogram and stem-and-leaf plot. The histogram contains frequency of number of shoppers based upon the age of shoppers. Age 10 to 19 is 6, 20 to 29 is 7, 30 to 39 is 4, and 40 to 49 is 1.

The stem-and-leaf plot contains a key of stem 1 and leaf 6 means 16. The graph contains stem 0 and no leaves; stem 1 with leaves 1, 6, 8, 8, 9, and 9; stem 2 with leaves 0, 2, 3, 5, 6, 6, and 8; stem 3 with leaves 2, 5, 6, and 9; and stem 4 with leaf 4.

Compare and contrast the two representations describing what different aspects of the data they show.

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Answers (1)

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Catalina · Answer 1

Both the histogram and the stem and leaf plot will visually show how many shoppers were of various ages within each range of data. The histogram does not give us the specific ages of these shoppers unlike the stem and leaf plot.

A histogram does not give us a true range of the data because we do not know exactly how old the shoppers were. A stem and leaf plot will give exact ages, so we can determine the exact range along with all measures of center and the others measures of center. With the histogram, we cannot find any of these.