AnswersTX-College Prep Math BUnit Test

Unit Test — Unit test Answers

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1
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The histogram below represents the number of points Mandy scored per game. The graph makes the data appear symmetric when it is actually skewed. How can the graph be adjusted to show the skew?

Question illustration
A
The intervals on the x-axis can be changed to be continuous and consistent.
B
The interval on the y-axis can be changed to show only the relevant numbers, 3 and 5.
C
The scale on the x-axis can be increased to show the interval 25–29.
D
The scale on the y-axis can be decreased to show only the numbers 0–5.
2
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The graph below is used by company 2 to show the average monthly electric cost based on the electricity provider.How could the graph be redrawn so that the difference in monthly electric cost does not appear as great?

Question illustration
A
The scale on the y-axis could be changed to 0–150.
B
The scale on the y-axis could be changed to 100–120.
C
The interval on the y-axis could be changed to count by 1s.
D
The interval on the y-axis could be changed to count by 20s.
3

Two months ago, the mean daily rainfall in a local city was 9.4 cm. The mean absolute deviation was 3.5 cm. Last month, the mean daily rainfall in that city was 11.5 cm, and the mean absolute deviation was 1.6 cm.Which statement about the rainfall is true?

A
More rain fell two months ago than last month.
B
About the same amount of rain fell two months ago as last month.
C
Last month, the amount of rain that fell each day varied about the same as the month before.
D
Last month, the amount of rain that fell each day varied less than the month before.
4

The means and mean absolute deviations of the amount of rain that fell each day in a local city, last week and this week, are shown below.Means and Mean Absolute Deviations of Rainfall Last Week and This Week Last WeekThis WeekMean 3.5 in.2.7 in.Mean Absolute Deviation1.2 in.0.5 in.Which expression compares the difference of the two means to this week’s mean absolute deviation?

A
StartFraction 0.8 over 0.7 EndFraction
Option A
B
StartFraction 2.7 over 0.7 EndFraction
Option B
C
StartFraction 0.8 over 0.5 EndFraction
Option C
D
StartFraction 2.7 over 0.5 EndFraction
Option D
5

Which scatterplot has a correlation coefficient closest to r = –1?

A
mc023-1.jpg
Option A
B
mc023-2.jpg
Option B
C
mc023-3.jpg
Option C
D
mc023-4.jpg
Option D
6

Jillian and Dawn are playing a game of miniature golf. In this game, the score on a hole is the number of putts it takes to get the ball into the hole. The winner is the player with the lowest score. After playing 18 holes, Jillian’s mean is 2.4 and Dawn’s mean is 3.3. Which explains who won the game?

A
Jillian won the game because her score varied less than Dawn’s score.
B
Jillian won the game because the person with the lower mean took fewer putts on average for each hole.
C
Dawn won the game because the person with the greater mean played better.
D
Dawn won the game because her mean absolute deviation was less than Jillian’s.
7

The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below.Means and Mean Absolute Deviations of Sidney’s and Phil’s Grades SidneyPhilMean8278Mean Absolute Deviation3.283.96Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?

A
StartFraction 82 over 3.28 EndFraction
Option A
B
StartFraction 4 over 3.28 EndFraction
Option B
C
StartFraction 4 over 0.68 EndFraction
Option C
D
StartFraction 82 over 0.68 EndFraction
Option D
8

Which characteristic of a data set makes a linear regression model unreasonable?

A
a slope close to 0
B
a correlation coefficient close to 0
C
a slope close to –1
D
a correlation coefficient close to –1
9

The table shows the population of Center City in various years. Use the data from 1990 and 2005 to create a linear model that predicts the population of the city (y) in a given year (x). In which year was the actual population of Center City most different from the value predicted by this model?YearCity Population1985194,9571990197,8001992199,5322000203,7502005206,5612012210,600

A
1985
B
1992
C
2000
D
2012
10

The stem-and-leaf plot below shows the number of pages each student in a class read the previous evening.Which statement is true about the data set?

Question illustration
A
Its median is greater than its mode.
B
It has a range of 52 pages.
C
The value of the first quartile is 13.
D
The data is symmetric.
11

The hourly wages earned by 20 employees are shown in the first box-and-whisker plot below. The person earning $15 per hour quits and is replaced with a person earning $8 per hour. The graph of the resulting salaries is shown in plot 2.Plot 1 Plot 2 How does the mean and median change from plot 1 to plot 2?

Question illustration
A
The mean and median remain the same.
B
The mean decreases, and the median remains the same.
C
The mean remains the same, and the median decreases.
D
The mean and median decrease.
12

The means and mean absolute deviations of the individual times of members of two relay swim teams are shown in the table below.Means and Mean Absolute Deviations of Individual Times of Members of Relay Swim Teams Team ATeam BMean127.9 s127.4 sMean Absolute Deviation0.26 s0.23 sThe difference of the means is found and then compared to each of the mean absolute deviations. Which is true?

Question illustration
A
The difference between the mean times is about equal to the mean absolute deviation of the data sets.
B
The difference between the mean times is about 2 times the mean absolute deviation of the data sets.
C
The difference between the mean times is about 5 times the mean absolute deviation of the data sets.
D
The difference between the mean times is about 16 times the mean absolute deviation of the data sets.
13

Elias likes to read during his summer breaks. The table below shows the number of pages in each book he read last summer and the number of pages in each book he read this summer.Number of Pages Elias Read during the SummerLast Summer140220190180190This Summer150170150190180Which statement comparing the modes to the ranges is true?

A
The modes differ by 40 and the ranges differ by 40.
B
The modes differ by 20 and the ranges differ by 20.
C
The modes differ by 40, but the ranges differ by 20.
D
The modes differ by 20, but the ranges differ by 40.
14

Charles owns a catering business. The amount his 10 most recent clients spent is shown in the histogram below. Why is the graph misleading?

Question illustration
A
The x-axis scale shows the data is more clustered than it actually is.
B
The y-axis scale shows the data is more skewed than it actually is.
C
The scales are different on the x-axis and the y-axis.
D
The data is not distributed equally across the x-axis intervals.
15

Enzo and Zahra are playing a game. Their scores for five games are shown in the table below.Enzo’s and Zahra’s ScoresEnzo’s Scores3947465038Zahra’s Scores3733453045Enzo’s mean score is 44. Zahra’s mean score is 38. How much greater is the mean absolute deviation for Zahra's scores than for Enzo's scores?

A
1.2
B
4.4
C
5.6
D
6.0
16

How many people were included in the sample shown below?

Question illustration
A
6
B
7
C
17
D
18
17

Last week’s and this week’s daily high temperatures are shown in the table below.High Temperatures for This Week and Last WeekHigh TemperaturesThis Week ()65737374737571High TemperaturesLast Week ()68516266857272How much greater is this week’s median temperature than last week’s median temperature?

Question illustration
A
2 degrees
B
3 degrees
C
4 degrees
D
5 degrees
18

Darius and Barb are playing a video game in which the higher score wins the game. Their scores are shown below.Darius’s scores: 96, 54, 120, 87, 123Barb’s scores: 92, 98, 96, 94, 110Barb says that she is the winner. Darius says that it is a tie. Who is correct?

A
Barb is correct if both the mean and median scores are considered.
B
Barb is correct if only the median score is considered.
C
Darius is correct if both the mean and median scores are considered.
D
Darius is correct if only the median score is considered.
19

A data set has a lower quartile of 3 and an interquartile range of 5. Which box plot could represent this data set?

A
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 2 to 15, and the box ranges from 3 to 8. A line divides the box at 6.
Option A
B
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 4 to 16, and the box ranges from 4 to 11. A line divides the box at 9.
Option B
C
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 2 to 15, and the box ranges from 3 to 10. A line divides the box at 8.
Option C
D
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 3 to 16, and the box ranges from 4 to 9. A line divides the box at 7.
Option D
20

What is the range of the data below?

Question illustration
A
22
B
28
C
41
D
42

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