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Summarizing Data Sets with Statistics Answers

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1
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What is the difference between the mean and the median of the data set?{22, 8, 10 ,18 ,12, 20}

A
0
B
2
C
4
D
6
2
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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.
3

Jacqueline practiced drums four times last week for sessions of 40 minutes, 35 minutes, 45 minutes, and 30 minutes. Cassie practiced five times last week for sessions of 15 minutes, 30 minutes, 15 minutes, 15 minutes, and 50 minutes. Which statement is true based on the data above?

A
The two girls practiced for the same total amount of time last week.
B
The average length of time Cassie spent practicing is greater than the average length of time Jacqueline spent practicing.
C
The difference in length between Cassie’s longest and shortest practice sessions was greater than the difference in length between Jacqueline’s longest and shortest sessions.
D
The greatest amount of time either girl spent practicing was one of Jacqueline’s practice sessions.
4

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
5

The list below shows the prices of T-shirts at a clothing store.{8, 10, 10, 12, 15, 15, 18}Which statement best describes the mean of this set?

A
the difference between the least and greatest prices
B
the sum of the prices
C
the quotient of the difference between the least and greatest prices divided by 7
D
the sum of the prices divided by 7
6

Rosa’s work finding the median of a set of test scores is shown below.Which statement best describes Rosa’s first error?

Question illustration
A
She should have reordered the elements from least to greatest.
B
She should have added the elements and divided by 9.
C
She should have counted repeated elements only once.
D
She should have found the difference between the first and last elements.
8

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.
9

Which statement best describes the interquartile range of this set of weights?{120 lb, 115 lb, 135 lb, 105 lb, 80 lb, 160 lb}

A
the difference between the first and sixth elements of the set as it is written above
B
the difference between the second and fifth elements of the set as it is written above
C
the difference between the first and sixth elements of the set after it has been ordered from least to greatest
D
the difference between the second and fifth elements of the set after it has been ordered from least to greatest
10

Jada is studying the variability of her quiz scores. Which pair of statistics best describes the spread of scores?

A
median and interquartile range
B
mean and range
C
mean and median
D
range and interquartile range

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