Algebra 1 | Unit 1 | Lesson 10: The Effect of Extremes | Practice Problems

Select all the distribution shapes for which it is most often appropriate to use the mean.

• bell-shaped

• bimodal

• skewed

• symmetric

• uniform

For which distribution shape is it usually appropriate to use the median when summarizing the data?

• bell-shaped

• skewed

• symmetric

• uniform

The number of writing instruments in some teachers' desks is displayed in the dot plot. Which is greater, the mean or the median? Explain your reasoning using the shape of the distribution.

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A student has these scores on their assignments. The teacher is considering dropping a lowest score. What effect does eliminating the lowest value, 0, from the data set have on the mean and median? 0, 40, 60, 70, 75, 80, 85, 95, 95, 100

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What is the five-number summary for the data 2, 2, 4, 4, 5, 5, 6, 7, 9, 15? When the maximum, 15, is removed from the data set, what is the five-number summary?

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The box plot summarizes the test scores for 100 students: Which term best describes the shape of the distribution?

• bell-shaped

• uniform

• skewed

• symmetric

The histogram represents the distribution of lengths, in inches, of 25 catfish caught in a lake. If possible, find the mean. If not possible, explain why not. If possible, find the median. If not possible, explain why not. Were any of the fish caught 12 inches long? Were any of the fish caught 19 inches long?

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