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The following information will be used for all questions on this test.

A business class surveyed college students about the cost (in dollars) of their most recent haircuts. The resulting data is summarized in the table below.

Women Men
Number of
Observations 75 24
Minimum $0 $0
Maximum $150 $35
1st Quartile $20 $9.25
Median $31 $17
3rd Quartile $75 $20
Mean $52.53 $20.13
Which data representations can you make using the information above? Select all that apply.

Question 1 options:

histograms


dot plots


box plots

Question 2 (2 points)
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Which of the following statistics could you find given the information above (see question #1)? Select all that apply.

Question 2 options:

standard deviation


range


interquartile range


mode

Question 3 (4 points)
What does the data above (see question #1) tell you about the difference in haircut costs between women and men? You may want to discuss similarities or differences in the shape, center, and spread of the data. Explain your reasoning and give mathematical evidence to support any claim that you make. If you draw any charts (or create them online) you may insert the image or add a file to your response.

Question 3 options:

Question 4 (4 points)
For both women and men, the mean cost is greater than the median cost. Why do you think the data has this result? Explain your reasoning.

Question 4 options:

Question 5 (1 point)
Question 5 options:
Is the mean or the median a better measure of center for the data in the table? In other words, would you fill in the blanks of this sentence with the mean values or the median values?

"The data shows that women typically spend about

on haircuts, and men typically spend about
on haircuts."
Question 6 (3 points)
Is the mean or the median a better measure of center for the data in the table? In other words, would you fill in the blanks of this sentence with the mean values or the median values?

"The data shows that women typically spend about ____ on haircuts, and men typically spend about ____ on haircuts."

Explain the reasoning behind your choices for Question 5.

Question 6 options:

Sagot :

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