2.6 Skewness and the Mean, Median, and Mode

How a long tail on one side reorders the three center measures, and naming a shape symmetric, left-skewed or right-skewed straight off a histogram.

Statistics, 2.6 Skewness and the Mean, Median, and Mode

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5 exercises

2.6 Exercise 3

Use the following information to answer the next three exercises. State whether the data are symmetrical, skewed to the left, or skewed to the right.

1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5

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2.6 Exercise 5

Use the following information to answer the next three exercises. State whether the data are symmetrical, skewed to the left, or skewed to the right.

87, 87, 87, 87, 87, 88, 89, 89, 90, 91

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2.6 Exercise 7

Use the following information to answer the next three exercises. State whether the data are symmetrical, skewed to the left, or skewed to the right.

When the data are symmetrical, what is the typical relationship between the mean and median?

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2.6 Exercise 19

Use the following information to answer the next three exercises. State whether the data are symmetrical, skewed to the left, or skewed to the right.

Which is the greatest, the mean, the mode, or the median of the data set?

11, 11, 12, 12, 12, 12, 13, 15, 17, 22, 22, 22

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2.6 Exercise 21

Use the following information to answer the next three exercises. State whether the data are symmetrical, skewed to the left, or skewed to the right.

Of the three measures, which tends to reflect skewing the most, the mean, the mode, or the median? Why?

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