AnswersConcepts in Probability and Statistics AUnit Test

Unit Test — Unit test Answers

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1
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The box plots compare the exam scores of Ms. Dobson’s class to the rest of the students who took the test in the district.Which statement is true about the box plots? Select three options.Ms. Dobson’s class has a smaller range of scores.The district has a greater interquartile range.Fifteen is an outlier for the district’s scores.One hundred is an outlier for the district’s scores.In general, the district’s scores were better than those of Ms. Dobson’s class.

Question illustration
A
Ms. Dobson’s class has a smaller range of scores.
B
The district has a greater interquartile range.
C
Fifteen is an outlier for the district’s scores.
D
One hundred is an outlier for the district’s scores.
E
In general, the district’s scores were better than those of Ms. Dobson’s class.
2
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Justin packed two suitcases for his trip and compared the weights of the items he packed in each of the suitcases.Which statement is true about the box plots?

Question illustration
A
The data for suitcase 1 have an outlier, but the data for suitcase 2 does not.
B
The data for suitcase 2 have a greater median than the data for suitcase 1.
C
The data for suitcase 1 has a greater interquartile range than the data for suitcase 2.
D
The data for suitcase 2 has a greater range than the data for suitcase 1.
3

Lorenzo’s test scores are shown below. Lorenzo’s Test ScoresAnika’s test scores are shown below.Anika’s Test ScoresWhich statement compares the shape of the two dot plots?

Question illustration
A
There is a gap in both plots.
B
There is a gap in Anika’s scores, but not in Lorenzo’s scores.
C
The data is widely spread across both plots.
D
The data is more widely spread for Lorenzo’s scores than for Anika’s.
4

The dot plots below show rainfall totals in the Highlands and Lowlands areas of a certain region.When comparing the two sets of data, which is a true statement?

Question illustration
A
There are gaps in both sets of data.
B
The ranges are the same.
C
The two sets of data do not overlap.
D
The rainfall peaks at a lower value in the Lowlands.
5

The data set represents the total number of people who bought bananas each hour at a grocery store.1, 1, 5, 5, 7, 8, 8, 10, 12Which box plot correctly represents the data?

A
A number line goes from 0 to 16. The whiskers range from 1 to 12, and the box ranges from 3 to 9. A line divides the box at 7.
Option A
B
A number line goes from 0 to 16. The whiskers range from 1 to 12, and the box ranges from 5 to 9. A line divides the box at 7.
Option B
C
A number line goes from 0 to 16. The whiskers range from 1 to 12, and the box ranges from 5 to 8. A line divides the box at 7.
Option C
D
A number line goes from 0 to 16. The whiskers range from 1 to 12, and the box ranges from 3 to 8. A line divides the box at 7.
Option D
6

The data set represents the total number of tickets each person purchased for a play.0, 0, 1, 1, 1, 2, 2, 2, 4, 4What is the median of the data?

A
1
B
1.5
C
2
D
2.5
7

The dot plots show the heights of boys and girls at a summer camp. Heights of Boys and Girls at CampWhich is a true statement for most of the data in each plot?

Question illustration
A
Most of the data in each plot are greater than 48.
B
Most of the data in each plot are less than 48.
C
Most of the data in each plot are around 52.
D
Most of the data in each plot are around 54.
8

Plot A shows the number of hours ten girls watched television over a one-week period. Plot B shows the number of hours ten boys watched television over the same period of time.Television Viewing Hours for a One-Week PeriodWhich statement compares the shape of the dot plots?

Question illustration
A
There is a gap in both plots.
B
There is a gap in Plot A, but not in Plot B.
C
The data is spread widely across both plots.
D
The data is spread widely across Plot B, but not across Plot A.
9

Eight car dealerships reported the number of cars they sold last month.Car DealershipNumber of Cars SoldGMC84Chevrolet81Nissan92Toyota92Ford 95Honda94Hyundai80Acura72What is the interquartile range of this set of data?

A
5
B
7.5
C
12.5
D
23
10

What is the best description of the data in the histogram?

Question illustration
A
The data set is symmetrical.
B
The data interval is 4.
C
The data set has a peak.
D
The data set has a cluster.
11

Which method can be used to find the range of a set of data?

A
Find the difference between the maximum and minimum values.
B
Find the difference between the upper and lower quartiles.
C
Find the median of the upper half of an ordered data set.
D
Find the sum of the maximum and minimum values.
12

A survey of sixth-grader students recorded how many hours students studied each week. The histogram below displays the collected information.Which interval shows the greatest number of students?

Question illustration
A
0 - 1.99
B
2 - 3.99
C
4 - 5.99
D
6 - 7.99
13

The histogram shows the number of cell phone calls received by Medera, a middle school student, one Saturday from 10 a.m. to 10 p.m. Which statement most reasonably explains the hours when zero calls were received?

Question illustration
A
Medera turned the phone off while playing in a soccer game.
B
Medera’s phone can only receive 22 calls a day.
C
Medera only receives calls in clusters.
D
Medera lost her phone for two hours.
14

Sasha’s daily tips this work week were $43, $32, $65, $88, $50, and $72. Is Sasha correct in thinking that the mean accurately represents how much money she makes in daily tips?

A
Yes, Sasha is correct. The mean amount she makes is $58.33 in a day.
B
Yes, Sasha is correct. The mean amount she makes is $65.33 in a day.
C
No, Sasha is not correct. The median amount she makes is $53.00 in a day.
D
No, Sasha is not correct. The median amount she makes is $60.00 in a day.
15

Use the data set to determine which statements are correct. Check all that apply.35, 41, 18, 75, 36, 21, 62, 29, 154, 70

A
The median is 36.
B
The median is 38.5.
C
There is an outlier.
D
The lower quartile is 29.
E
The lower quartile is 18.
F
The upper quartile is 29.
G
The upper quartile is 70.
H
The interquartile range is 41.
16

Students reported practicing violin during the last semester for 45, 38, 52, 58, and 42 hours. What is the mean absolute deviation for the number of hours students practiced the violin? Round to the nearest tenth.

A
6.4
B
6.8
C
32
D
47
17

Which statement about histograms is true?

A
Data is organized in categories.
B
Data appears as bars that are all about the same height.
C
Data is organized in equal intervals.
D
Data appears as bars that do not touch.
18

Which statement is true about the box plots?

Question illustration
A
Both the ranges and the interquartile ranges for the data sets are the same.
B
Neither the ranges nor the interquartile ranges for the data sets are the same.
C
The interquartile ranges for the box plots are the same, but their ranges are different.
D
The ranges for the box plots are the same, but their interquartile ranges are different.
19

Katelyn’s biology test scores are shown below. Biology Test ScoresKatelyn’s math test scores are shown below.Math Test ScoresKatelyn says that her biology test scores are much higher than her math test scores. Based on the shape of the data, which explains whether Katelyn is correct?

Question illustration
A
Katelyn is correct because the score of 90 in biology is higher than any of her math scores.
B
Katelyn is correct because her biology scores have a much wider range than her math scores.
C
Katelyn is not correct because her score of 83 in biology is lower than any of her math scores.
D
Katelyn is not correct because the middle of the data is about the same for each plot.
20

Which statement is true about the ranges for the box plots?

Question illustration
A
The range of the Morning box plot is the same as the range of the Afternoon box plot.
B
The range of the Morning box plot is 1 less than the range of the Afternoon box plot.
C
The range of the Morning box plot is 1 more than the range of the Afternoon box plot.
D
The range of the Morning box plot is 2 less than the range of the Afternoon box plot

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