Stats Chapters 1 and 2 Review

In order to rate TV shows, phone surveys are sometimes used.  Such a survey might record several variables, some of which are listed below.  Which of these variables are categorical?

 

I. The type of show being watched

II. The number of persons watching the show

III. The ages of persons watching the show

IV. The name of the show being watched

V. The number of times the show has been watched in the last month

• II, III, IV

• I only

• I and V

• I and IV

• None of the options

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CCSS.HSS.ID.B.5

The histogram shows the ages of cars in the parking lot at a local high school. 

Which of the following statements are TRUE?

 

I. The mean age is greater than the median age.

II. The median age is greater than the mean age.

III. The median is between 6 and 8 years.

• I only

• II only

• III only

• I and II

• II and III

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CCSS.HSS.ID.A.3

The mean age of five people in a room is 30 years. One of the people, whose age is 50 years, leaves the room. The mean age of the remaining four people in the room

• is 40

• is 30

• is 25

• cannot be determined

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CCSS.6.SP.B.5

Which of the following are likely to be true of this distribution? (Select all that may be true).

• Mean = 3, Median = 3

• Mean = 3.5, Median = 4

• Mean = 4, Median = 3.5

•  Mean = 3.5, Median = 3.5

• Mean = 3, Median = 2

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CCSS.HSS.ID.A.2

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Refer to the following back-to-back stem-and-leaf plot: 

Which of the following are true?

 

I. The medians of the distributions are the same.

II. The means of the distribution are the same.

III. The ranges of the distributions are the same.

• I only

• II only

• III only

• I and II

• I and III

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Fastball speeds in collegiate baseball are normally distributed with a mean of 86 mph and a standard deviation of 4 mph. Suppose that major league scouts will only consider pitching prospects who can throw a fastball at least 90 mph. What percentage of the pitchers will be considered?

• 1.2%

• 7.7%

• 14.7%

• 15.9%

• 44.4%

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CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.3

Which of the following statements are true if you are constructing a histogram?

 

(A) There can be no gaps between bars.

(B) Bars should be square so that the height and the width equal the class count.

(C) The heights of the bars should relate to the frequency of each count.

(D) The scale of the horizontal axis should be the frequency.

(E) The horizontal axis must begin at 0.

• A

• B

• C

• D

• E

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CCSS.HSS.ID.A.1

Kitchen appliances don’t last forever. The lifespan of all microwave ovens sold in the United States is approximately Normally distributed with a mean of 9 years and a standard deviation of 2.5 years. What percentage of the ovens last more than 10 years?

• 11.5%

• 34.5%

• 65.5%

• 69%

• 84.5%

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CCSS.HSS.ID.A.4

On a science test given to 100 students, 50 earned scores of 90. Most of the other students scored 80, and the remaining students scored 20. Which of the following statements is true about the distribution of scores?

• The mode is equal to the mean

• The median is greater than the mean

• The mode is less than the mean

• The mean is greater than the median

• The mean is equal to the median

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CCSS.HSS.ID.A.2

The following statistics were produced at the end of a week at a weight loss center indicating pounds lost.

 

Mean = 5 lbs                           Median = 7 lbs                                    Mode = 4 lbs

First Quartile = 2 lbs               Third Quartile = 8.5 lbs                      Standard Deviation = 0.5 lbs

 

Which of the following statement(s) are correct?

 

I. One quarter of weight watchers lost 2 pounds or less.

II. The middle 50% of the weight waters lost between 2 and 8.5 pounds.

III. The most common weight loss waas 4 pounds.

• I only

• II only

• III only

• I and III

• I, II, and III

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