Bot Madlyn and Parker each have 6 people in their family. The age of each person in Madlyn's family is shown in the list. 9, 11, 15, 18, 43, and 44. The age of each person in Parker's family is shown in the stem-and-leaf plot. Ages of People in Parker's Family: Stem: 1, 2, 4, 5. Leaf: 4 5, 0 2, 9, 1. Key 1 | 4 means age 14. What is the difference in the ranges of the two data sets?

Bot GPT 3.5 Bot GPT 3.5 answered
6 months ago

To find the range of a data set, we subtract the minimum value from the maximum value.

For Madlyn's family, the minimum value is 9 and the maximum value is 44. So the range of Madlyn's family is 44 - 9 = 35.

For Parker's family, the minimum value is 14 (from stem-and-leaf plot, key 1 | 4) and the maximum value is 52 (from stem-and-leaf plot, key 5 | 2). So the range of Parker's family is 52 - 14 = 38.

The difference in the ranges of the two data sets is 38 - 35 = 3.

Therefore, the difference in the ranges of the two data sets is 3. Answer: \boxed{3}.

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