AnswersPre-Algebra BConstructing Scatterplots

Constructing Scatterplots — Unit test Answers

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Wyatt wants to study the relationship between the number of siblings that a student has and the student’s grade-point average using a scatterplot. He believes that if the points form a straight line, then there is a relationship between the two variables. Which scatterplot proves that Wyatt’s statement is not always true?

A
A graph titled Number of Siblings versus Grade-Point Average has Number of Siblings on the x-axis and Grade-point average on the y-axis. Points are at (1, 4), (2, 3), (3, 2), (4, 1).
Option A
B
A graph titled Number of Siblings versus Grade-Point Average has Number of Siblings on the x-axis and Grade-point average on the y-axis. Points are at (1, 3), (2, 3), (3, 3), (4, 3).
Option B
C
A graph titled Number of Siblings versus Grade-Point Average has Number of Siblings on the x-axis and Grade-point average on the y-axis. Points are at (1, 4), (2, 3), (3, 4), and (4, 3).
Option C
D
A graph titled Number of Siblings versus Grade-Point Average has Number of Siblings on the x-axis and Grade-point average on the y-axis. Points are at (1, 1), (2, 2), (3, 3), (4, 4).
Option D
2
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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.
3

What is the mean of this set: {2, 6, 7, 9, 9, 9}?

A
6
B
7
C
8
D
9
4

Which expression can be simplified to find the slope of the trend line in the scatterplot?

Question illustration
A
StartFraction 2 minus 8 Over 78 minus 87 EndFraction
Option A
B
StartFraction 78 minus 87 Over 8 minus 2 EndFraction
Option B
C
StartFraction 78 minus 8 Over 87 minus 2 EndFraction
Option C
D
StartFraction 8 minus 2 Over 78 minus 87 EndFraction
Option D
5

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.
6

What is the median in the box plot?

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Answer not available
7

The scatterplot below was created from a table of values and represents the relationship between the number of seconds spent doing sit-ups and the number of sit-ups completed for some of the members of a physical education class. Assuming that none of the data points overlap and that all the data points were plotted, how many data points were in the table?

Question illustration
A
5
B
6
C
7
D
8
8

Suppose there is a relationship between independent and dependent variables represented by a scatterplot. Which statement is correct?

A
The independent variable influences change in the dependent variable only if the points on the scatterplot go up from left to right.
B
The independent variable influences change in the dependent variable whether the points on the scatterplot go up or down from left to right.
C
The dependent variable influences change in the independent variable only if the points on the scatterplot go up from left to right.
D
The dependent variable influences change in the independent variable whether the points on the scatterplot go up or down from left to right.
9

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
10

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.
11

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.
12

Which describes a correct way to construct a scatterplot?

A
When analyzing the number of home runs that a baseball player hit over several seasons, the season is the independent variable.
B
When analyzing the number of umbrellas that are sold during days with varying amounts of rain, the number of umbrellas that are sold is the independent variable.
C
When analyzing the number of registered voters by age, age is the dependent variable.
D
When analyzing the number of students that ride the school bus each day of the week, the day is the dependent variable.
13

What is the upper quartile in the box plot?

Question illustration
Answer not available
14

Lisa and Jen are each reading a different 250-page book consisting of 10 chapters. Which statistics would be helpful in determining whose book shows the greater variability in the chapter length? Check all that apply.

A
the median of the chapter lengths in each book
B
the mean of the chapter lengths in each book
C
the interquartile range of the chapter lengths in each book
D
the range of chapter lengths in each book
15

Grace claims that the interquartile range of a data set is never equal to its range. Which type of set can be used to prove or disprove her claim?

A
A set consisting of identical elements will prove her claim.
B
A set consisting of different elements will prove her claim.
C
A set consisting of identical elements will disprove her claim.
D
A set consisting of different elements will disprove her claim.

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