Unit Test — Unit test Answers

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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.
2
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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
3

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.
4

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

A
6
B
7
C
8
D
9
5

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.
6

A set of cards contains the numbers 1 through 20. Mathieu chooses a card at random, records the number of the card, and then returns the card to the set. He conducts 200 trials of this event. Based on the theoretical probability, how many times can Mathieu expect to choose a multiple of 5?

A
10
B
20
C
40
D
50
7

A reporter compared the scores of two basketball teams over the past year. When she listed the scores, she found the lists had the same measure of center but different measures of spread. Which statement could describe the two teams’ lists of scores?

A
They have the same means but different medians.
B
They have the same medians but different interquartile ranges.
C
They have the same interquartile ranges but different ranges.
D
They have the same ranges but different means.
8

Geraldo wants to start a group bike ride on Sunday mornings for students at his school. He asked 30 students in the lunchroom how many miles they ride their bikes each month. He obtained the following results.8, 3, 0, 1, 2, 3, 6, 3, 0, 4, 13, 1, 3, 12, 15, 2, 1, 3, 2, 2, 0, 3, 4, 2, 6, 7, 12, 8, 4, 0The fraction shows the ratio of the number of students who ride their bikes more than 10 miles each month to the number of students surveyed. What is the value of x?

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A
2
B
3
C
4
D
5
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

Amber must make up a vocabulary quiz. She can take it during her lunch or after school on Wednesday, Thursday, or Friday. The tree diagram shows the possible combinations of times she can make up the quiz. How many different times can she make up the quiz?

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Answer not available
11

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.
12

What is the upper quartile in the box plot?

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Answer not available
13

A store sells notebooks with each of the combinations of color, binding, and dividers shown in the table.Notebook FeaturesColorBindingDividerRedSpiralPocketsBlue3-ringNo PocketsGreen Yellow Black Which statements are true about the variety of notebooks that the store sells? Check all that apply.

A
There is a greater number of combinations with pocketed dividers than with no pockets.
B
There are more than 18 different combinations of features for sale.
C
The number of combinations of red notebooks is the same as the number of combinations that are yellow.
D
The number of combinations of black notebooks is the same as the number of combinations that have dividers with no pockets.
E
Adding one more color option would increase the number of different combinations by 4.
14

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
15

A grocery store carries the same 8 flavors of 4 brands of yogurt. Every flavor for each brand is sold in single-serving and quart-sized containers. How many different brand/flavor/size combinations of yogurt does the store sell?

A
14
B
24
C
64
D
144

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