Summarizing Data Sets with Statistics Answers

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1
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The median age of the science teachers at Mike’s school is the same as the median age of the math teachers, but the ages of the math teachers show greater variability. Which statement most likely describes the data sets?

A
The difference in ages between the oldest and youngest math teachers is greater than the difference in ages between the oldest and youngest science teachers.
B
There are more math teachers than science teachers at Mike’s school.
C
The average age of the math teachers at Mike’s school is greater than the average age of the science teachers.
D
The oldest teacher in Mike’s school is a mathematics teacher.
2
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What is the range of this set of heights in centimeters? {140, 166, 132, 165, 152, 168, 181, 158, 173, 171, 180, 182, 163, 177, 180, 142, 147, 149, 178}

A
38
B
41
C
46
D
50
3

Ty and Gajge are both football players who averaged 4 yards per run in yesterday’s football game. The statistics from that game are shown in the table below.Player Name# ofCarriesAverage Yards Gained Per RunLongest Run(yards)Shortest Run(yards)Ty154.062Gajge104.0192Which statement best describes the data?

A
The lengths of Ty’s runs have greater variability because Ty had more rushing attempts.
B
The lengths of Gajge’s runs have greater variability because there is a greater difference between his longest and shortest runs.
C
Ty’s and Gajge’s runs have the same variability because they both average 4.0 yards per carry.
D
Ty’s and Gajge’s runs have the same variability because they both had the same length shortest run.
4

The head of the math department compared the scores of students in two classes on the Chapter 2 test. He found that the mean score of both classes was the same. He also found that there was greater variability in the scores of Ms. Biren’s students than in the scores of Mr. Hayes’s students. Which quality of the data sets would lead the department head to that conclusion?

A
The median score in Ms. Biren’s class is greater than the median score in Mr. Hayes’s class.
B
The median score in Ms. Biren’s class is less than the median score in Mr. Hayes’s class.
C
The range of scores in Ms. Biren’s class is greater than the range of scores in Mr. Hayes’s class.
D
The range of scores in Ms. Biren’s class is less than the range of scores in Mr. Hayes’s class.
5

Swati played eight basketball games this season. Her point totals for each game were 8, 14, 4, 7, 6, 14, 4, and 7. What was the mean number of points she scored per game?

A
7
B
8
C
9
D
10
6

The number of hours worked by each of the employees last week at two stores are listed below.Hours Worked in a Week at Two StoresStore 116, 28, 36, 40, 78Store 222, 27, 33, 36, 40Which statements are true and supported by the data in the table? Check all that apply.

A
The data for store 1 shows greater variability.
B
The median number of hours worked for the two stores is the same.
C
The mean of the data for store 1 is greater than the mean of the data for store 2.
D
The interquartile range of both data sets is the same.
E
The range of the data for store 1 is less than the range of the data for store 2.
7

Which value can be added to the set below without changing its mean?{4, 10, 14, 18, 22, 22}

A
0
B
15
C
16
D
22
8

What is the range of this set of test scores?{76, 82, 54, 100, 100, 82, 100, 93, 100, 93}

A
27
B
46
C
81
D
88
9

Two basketball players average the same number of points per game. What information would be most helpful in determining which player’s game performances show the least variability?

A
the most and least points each player has scored in a game
B
the number of games each player has played
C
the average number of points each player’s team scores per game
D
the total number of points each player has scored
10

The table below shows the number of cars sold each month for 5 months at two dealerships.Cars SoldMonthAdmiral AutosCountywide CarsJan49Feb1917Mar1514Apr1010May1715Which statements are supported by the data in the table? Check all that apply.

A
The mean number of cars sold in a month is the same at both dealerships.
B
The median number of cars sold in a month is the same at both dealerships.
C
The total number of cars sold is the same at both dealerships.
D
The range of the number of cars sold is the same for both dealerships.
E
The data for Admiral Autos shows greater variability.

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