Measures of Center and Spread Answers

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1
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Find the mean and median of the data set.3, 5, 6, 2, 10, 9, 7, 5, 11, 6, 4, 2, 5, 4

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A
mean: 5.643median: 5
B
mean: 5.643median: 7
C
mean: 7.465median: 5
D
mean: 7.465median: 7
2
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Find the median, mode, and range of the data in the stem-and-leaf plot below.

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3

Which measure of central tendency is preferred for this data set? Why?56, 40, 58, 41, 53, 55, 46, 45, 60, 47, 51, 56, 43, 44, 48, 54, 60, 50, 57, 40,46, 47, 49, 59, 44, 50, 42, 53, 95, 41

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4

Find the range and interquartile range for the data represented by the box plot.

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5

Find the five-number summary of the data set and create a box plot for the following data.35, 22, 30, 31, 27, 20, 32, 21, 32, 22, 31, 25, 26, 31, 25

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6

Which statement is not true about the data shown by the box plot below?

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A
The interquartile range is 52.
B
The median of the upper half of the data is 49.
C
The median of the data is 37.
D
Three fourths of the data is less than 49.
8

The Outlanders Club keeps track of the mean and median ages of its members. The ages of the six members are 26, 18, 42, 22, 38, and 34. Which will increase more, the mean or the median, when a new member who is 65 years old joins?

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9

The number of patients treated in a dental office each day was recorded for 8 days. Find the mean, median, and mode for this set of numbers.5, 25, 25, 25, 11, 20, 25, 16

A
mean: 25, median: 22.5, mode: 19
B
mean: 19, median: 25, mode: 22.5
C
mean: 19, median: 22.5, mode: 25
D
mean: 22.5, median: 19, mode: 25

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