AnswersAZ-Common Core Algebra II BRepresenting Data

Representing Data — Unit test Answers

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What is the median in the box plot?

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Julian and Nina are playing a game. Their scores for five games are shown in the table below.Julian’s and Nina’s ScoresJulian’s Scores4241465038Nina’s Scores4727453249Which statement comparing the medians to the ranges is true?

A
The medians differ by 3, but the ranges differ by 10.
B
The medians differ by 3, but the ranges differ by 2.
C
The medians differ by 1, but the ranges differ by 10.
D
The means differ by 1, but the ranges differ by 2.
3

Between which two values would 75% of the data represented on a box plot lie? Check all that apply.

A
the median and the maximum
B
the lower quartile and the maximum
C
the lower quartile and the upper quartile
D
the minimum and the upper quartile
E
the minimum and the maximum
F
the median and the upper quartile
4

Donell compared the hours students spent each day on social networks to the hours they spent on homework. His data is shown below. Which statements are true? Check all that apply.

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A
The mean number of hours spent on each activity are equal.
B
There is a greater variability in the hours spent on social networks.
C
The average student spends more time on homework than on social networks.
D
The range for the number of hours spent on homework is greater.
E
Students are more consistent in the time spent on homework than the time spent on social networks.
5

A data set has a median of 12, an upper quartile of 15, a lower quartile of 10, a minimum of 4, and a maximum of 20. Which statement is true of the box plot of this data set?

A
The box will go from 10 to 12.
B
A line dividing the box will be at 12.
C
The left whisker will go from 4 to 15.
D
The right whisker will go from 12 to 20.
6

Which measure of center is shown in a box plot?

A
mean
B
median
C
mode
D
range
7

The histogram below shows the average number of days per year in 117 Oklahoma cities where the high temperature was greater than 90 degrees Fahrenheit.Which is an accurate comparison?

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A
The mean is likely greater than the median because the data is skewed to the right.
B
The mean is likely greater than the median because the data is skewed to the left.
C
The median is likely greater than the mean because the data is skewed to the right.
D
The median is likely greater than the mean because the data is skewed to the left.
8

What is the upper quartile in the box plot?

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Answer not available
9

Nia recorded her science and math scores. The measures of center and variation for each score are shown in the table below.Measures of Center and Variationfor Nia’s Science and Math Scores ScienceMathMean6458Median6060Mode6262Range850Mean Absolute Deviation2.414.4Which inferences can be made when analyzing the data summary in the table? Select three choices.

A
Her mean science score is higher than her mean math score.
B
She prefers science over math.
C
There is more variation in her math scores.
D
Her science scores are more spread out than her math scores.
E
Her median scores are the same for each subject.
10

For which scatterplot is the correlation strongest?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
11

The graph below shows the amount of time Misha spent outside over a 30-day period. How might the graph be considered misleading?

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A
The x-scale is different from the y-scale.
B
The x-interval makes the data appear skewed.
C
The y-scale is too large for the data set.
D
The y-interval shows exponential increase rather than linear increase.
12

The histogram below shows the number of weeks Jimmy spent different amounts of money to fill the gas tank in his car. If the graph is redrawn so that the scale on the y-axis begins with zero, which aspect of the graph will change the most?

Question illustration
A
The difference in the heights of the bars will not appear as great.
B
The difference in the heights of the bars will be more pronounced.
C
The graph will appear more skewed to the left.
D
The graph will appear more skewed to the right.
13

Which data display shows the number of observations? Check all that apply.

A
A bar graph titled Sibling Survey has number of siblings on the y-axis and number of students on the y-axis. 4 students have 0 siblings; 9 have 1; 5 have 2; 3 have 3; 2 have 4; 0 have 5; 1 has 6; 1 has 7.
Option A
B
A pie chart titled Sibling Survey. 1 sibling is the largest piece, then 2 siblings, then 0 siblings, followed by 3, 4, 6, and 7.
Option B
C
A bar graph titled Sibling Survey has number of siblings on the y-axis and number of students on the y-axis. 13 students have 0 to 1 sibling; 8 have 2 to 3; 2 have 4 to 5; 2 have 6 to 7.
Option C
D
A box-and-whisker plot. The number line goes from 0 to 8. The whiskers range from 0 to 7, and the box ranges from 1 to 3.
Option D
E
A dot plot goes from 0 to 7. 0 has 4 dots, 1 has 9 dots, 2 has 5 dots, 3 has 3 dots, 4 has 2 dots, 5 has 0 dots, 6 has 1 dot, and 7 has 1 dot.
Option E
14

Jayce volunteers for the local library. The librarian wants to find out whether the patrons prefer paperback books or e-books. Jayce cannot decide which method to use for polling the patrons.Option 1: Poll every fifth patron who enters the library on Paperback Lovers Day.Option 2: Poll every third patron who enters the library on Technology Appreciation Day.Which statement about the methods of collecting data is true?

A
Jayce should not use either option. Option 1 is likely to be biased so that paperbacks are overrepresented, while Option 2 is likely to be biased so that e-books are overrepresented.
B
Jayce should use Option 2. Option 1 is biased so that paperbacks are overrepresented, but Option 2 will give balanced results that reflect the general population.
C
Jayce should use Option 1. Option 2 is biased so that e-books are overrepresented, but Option 1 will give balanced results that reflect the general population.
D
Jayce should use whichever one is most convenient for those taking the polls because both options will give balanced results that reflect the general population.
15

Denise and Sandra are playing a target game. The object of the game is to get an object as close to the center as possible. Each player’s score is the number of inches away from the center. Their scores are shown below.Denise’s scores: 112, 116, 125, 119, 131Sandra’s scores: 124, 120, 110, 126, 118Which explains who is winning the game?

A
Denise is winning because she has the greater mean.
B
Denise is winning because she is generally closer to the center.
C
Sandra is winning because she has the greater mean.
D
Sandra is winning because she is generally closer to the center.
16

The scatterplot shows the number of minutes spent reading (x) and the number of pages read (y) by each of seven students last night. Use the labeled points to create a linear model that predicts the number of pages that a typical student reads in x minutes. Which equation represents this linear model?

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A
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Option A
B
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Option B
C
mc009-4.jpg
Option C
D
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Option D
17

The scatterplot shows the number of minutes Tyler played in his last eight basketball games and the points he scored in each game. Estimate the location of the line of best fit. About how many points would Tyler score if he played for 40 minutes?

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A
18 points
B
22 points
C
27 points
D
40 points
18

The heights of the starting players on each of two basketball teams are shown in the table below.Heights of Starters on Team A and Team BTeam A70 in.72 in.75 in.68 in.70 in.Team B71 in.73 in.71 in.72 in.73 in.Jacob found that the mean height of Team A is 71 and the mean height of Team B is 72. He believes that because Team B has a greater mean, it also has a greater mean absolute deviation. Which explains Jacob’s error?

A
One of the means is incorrect, but the reasoning is correct.
B
Both of the means are incorrect, and the reasoning is also incorrect.
C
Both of the means are correct, but the reasoning is incorrect.
D
One of the means is incorrect, and the reasoning is also incorrect.
19

The histogram below shows the estimated monthly salaries of company employees with different years of experience. How might the graph be misleading?

Question illustration
T
The scale on the y-axis overemphasizes the difference in salaries between different experience levels.
T
The scale on the y-axis underemphasizes the difference in salaries between different experience levels.
T
The scale on the x-axis overemphasizes the difference in salaries between different experience levels.
T
The scale on the x-axis underemphasizes the difference in salaries between different experience levels.
20

Mark and Jessica are each making a linear model to predict the population of squirrels in the town park. They are both using the same data points to find an equation of the line of best fit: the squirrel population, p, in 2002 and the squirrel population, q, in 2011. Mark is using the year as the x-value, and he represents his data as (2002, p) and (2011, q). Jessica is using the years since 2000 as her x-value, and she represents her data as (2, p) and (11, q). Which statement best describes how their prediction equations compare?

A
Their equations have the same slopes and y-intercepts.
B
Their equations have different slopes and y-intercepts.
C
Their equations have different y-intercepts but the same slopes.
D
Their equations have the same y-intercepts but different slopes.

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