# Cereal Box Problem

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06-Jan-2016Category

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6.SP - Develop understanding of statistical variability. 4. Display numerical data in plots on a number line, including dot plots, histograms, and box plots.

Cereal Box Problem6.SP - Develop understanding of statistical variability.

3. Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.

4. Display numerical data in plots on a number line, including dot plots, histograms, and box plots.

Cereal Box ProblemThe box plot below represents the grams of sugar per serving in 15 boxes of cereal. Mean grams of sugar per serving is 14, and mode grams of sugar per serving is 18. What is a possible data set? Explain your choice.

06162432Answers will vary. One possibility: 0, 1, 2, 6, 7, 8, 9, 16, 18, 18, 18, 24, 25, 26, and 32 grams of sugar per serving. Begin with the underlined values to accommodate what is known from the box plot. Then accommodate the mode with multiples of 18, and finally make sure the numbers add up to 15 14 = 210 to satisfy the mean of 14 grams of sugar per serving.2Reasoning Abstractly and Quantitatively

1. Explain how the equation below models the following statement:

the grams of sugar per serving in 15 boxes of cereal. Mean grams of sugar per serving is 14,

What does x represent?What does x/15 represent?How does the solution for x help you solve the problem?Cereal Box Problem

0616243216What is the median of the data?What is the range of the data?032Cereal Box Problem

0616243216What does the 6 represent?What does the 24 represent?032624Cereal Box Problem

0616243216032624Use the following statement to help complete your list.mode grams of sugar per serving is 18Answers will vary. One possibility: 0, 1, 2, 6, 7, 8, 9, 16, 18, 18, 18, 24, 25, 26, and 32 grams of sugar per serving. Begin with the underlined values to accommodate what is known from the box plot. Then accommodate the mode with multiples of 18, and finally make sure the numbers add up to 15 14 = 210 to satisfy the mean of 14 grams of sugar per serving.6

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