Cumulative Exam — Cumulative exam Answers

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1
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The scores of an eighth-grade math test have a normal distribution with a mean = 83 and a standard deviation = 5. If Din’s test score was 92, which expression would she write to find the z-score of her test score?

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A
z = StartFraction 92 minus 83 Over 83 EndFraction
Option A
B
z = StartFraction 83 minus 92 Over 5 EndFraction
Option B
C
z = StartFraction 92 minus 83 Over 5 EndFraction
Option C
D
z = StartFraction 5 minus 83 Over 92 EndFraction
Option D
2
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Priya is playing a game where she earns online badges for scoring higher than the mean score on a level. After the tenth level, she scores 3,540 points, which is 2 standard deviations above the mean score of 3,110 points.

A
215
B
311
C
354
D
430
3

Mr. Walker is looking at the fundraiser totals for the last five years.

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A
The median is $1.60 greater than the mean.
B
The mean is $1.60 greater than the median.
C
The median is $2.82 greater than the mean.
D
The mean is $2.82 greater than the median.
4

Raj polled 100 students in his class to compare the number of hours that teen boys and girls played video games each week. The results of his survey are shown below. Which statement about his data sets is true?Hours of Video Game Time per Week for Teen Boys Hours of Video Game Time per Week for Teen Girls

Question illustration
A
The average boy plays 8.5 hours more per week than the average girl.
B
The average boy plays 2 hours more per week than the average girl.
C
The average boy plays the same amount of time per week as the average girl.
D
The average boy plays 6 hours more per week than the average girl.
5

The sizes of cans on a shelf are listed below. 18 oz, 8 oz, 16 oz, 20 oz, 20 oz, 16 oz, 12 oz, 8 ozWhat is the interquartile range of this list?

A
2
B
6
C
9
D
12
6

The table below shows the participation in the town soccer league during its first five seasons.Town Recreational Soccer League ParticipationYearNumber of participants188295310041085115Which is the equation of the trend line that can be generated by using the data from years 1 and 5?

A
y = 6.75 x minus 688.25
Option A
B
y = 6.75 x minus 1.75
Option B
C
y = 6.75 x + 81.25
Option C
D
y = 6.75 x + 81.25
Option D
7

What is the slope of the trend line drawn into the scatterplot?

Question illustration
A
StartFraction 15 Over 163 EndFraction
Option A
B
StartFraction 11 Over 109 EndFraction
Option B
C
StartFraction 109 Over 11 EndFraction
Option C
D
StartFraction 163 Over 15 EndFraction
Option D
8

Which characteristics describe the scatterplot? Check all that apply.

Question illustration
A
negative correlation
B
positive correlation
C
strong association
D
weak association
E
linear
F
nonlinear
9

Which sample fairly represents the population? Select two options.

A
using a yearbook to determine the most popular names for girls in the United States
B
asking the people exiting a vitamin store how often they exercise to determine the amount of time the average American exercises
C
calling every registered member of the national Republican Party to determine the voter turnout for a city’s mayoral race
D
sending a mandatory and confidential e-mail survey to every tenth employee of a company to determine overall job satisfaction
E
taking a poll in the main hallway between classes to determine the number of students who would be interested in a school trip to New York City
10

The scores of a high school entrance exam are approximately normally distributed with a given mean = 82.4 and standard deviation = 3.3. What percentage of the scores are between 75.8 and 89?

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A
68%
B
95%
C
99.7%
D
100%
11

The means and mean absolute deviations of monthly snowfall during the winter months in two cities are shown in the table below.Means and Mean Absolute Deviations of Snowfall in North Town and South Town North TownSouth TownMean8.9 in.6.3 in.Mean Absolute Deviation0.55 in.0.48 in.The difference of the means is found and then compared to each of the mean absolute deviations. Which is true?

A
The difference between the means is about equal to the mean absolute deviation of the data sets.
B
The difference between the mean is about 2 times the mean absolute deviation of the data sets.
C
The difference between the mean is about 4 times the mean absolute deviation of the data sets.
D
The difference between the means is about 5 times the mean absolute deviation of the data sets.
12

The College Board states that the average math SAT score is 514 with a standard deviation of 117. Colleen gathered data from 50 students in her graduating class and found the average score to be 529. She thinks that her class’s math SAT score is different from the average. Which of the following shows the correct z-statistic for this situation?

A
0.02
B
0.91
C
1.26
D
5.67
13

The box plots show the number of hours of television a group of middle school students and a group of elementary school students watch each week.Middle School StudentsElementary School StudentsWhich correctly compares the medians and the measures of variability of the data in the box plots? Select three choices.

Question illustration
A
The difference in the medians is about 1.5 hours.
B
The range for both middle school students and elementary school students is 6 hours.
C
The interquartile range for middle school students is 5, and the interquartile range for elementary school students is 3.
D
Both sets of data have the same maximum and minimum values.
E
The medians for the two sets of data are the same.
14

The table of values below shows data for a five-word spelling test.Number of Letters vs. Percentage who Spelled CorrectlyWordNumber of letters in the wordPercentage of students who spelled the word correctly17482912357346595827Which describes how the data for word 2 should be plotted on a coordinate grid?

A
From the origin, go 2 units to the right and 9 units up.
B
From the origin, go 2 units to the right and 12 units up.
C
From the origin, go 9 units to the right and 12 units up.
D
From the origin, go 12 units to the right and 9 units up.
15

The histogram shows the duration, in minutes, of movies in theaters.

Question illustration
A
The mean is less than the median.
B
The median is less than the mean.
C
The mean is equal to the median.
D
The median and mean cannot be compared from a histogram.
16

LaTesha and Bernard are playing a game. Their scores for five games are shown in the table below.LaTesha’s and Bernard’s ScoresLaTesha’s Scores9245673680Bernard’s Scores6368626953Which statement comparing the means to the ranges is true?

A
The means differ by 1, but the ranges differ by 40.
B
The means differ by 1, but the ranges differ by 2.
C
The means differ by 5, but the ranges differ by 40.
D
The means differ by 5, but the ranges differ by 2.
17

Which of the scatterplots have no correlation? Check all that apply.

A
On a graph, points curve up and down.
Option A
B
On a graph, points are grouped together to form a horizontal cluster.
Option B
C
On a graph, points are grouped together to form a vertical cluster.
Option C
D
On a graph, points are grouped together and decrease.
Option D
E
On a graph, points are scattered over the graph.
Option E
18

A survey of pet owners found that on average, they spend $1,225 annually per pet, with a standard deviation of $275. Between which two amounts would you expect 95% of the survey’s respondents to spend annually per pet if the sample is approximately normal and comes from a normally distributed population?

A
$675 and $1,500
B
$675 and $1,775
C
$950 and $1,500
D
$950 and $1,775
19

The heights of the trees in a forest are normally distributed, with a mean of 25 meters and a standard deviation of 6 meters. What is the probability that a randomly selected tree in the forest has a height greater than or equal to 37 meters? Use the portion of the standard normal table given to help answer the question.zProbability0.000.50000.500.69151.000.84132.000.97723.000.9987

A
0.13%
B
0.26%
C
2.3%
D
4.6%
20

Madeline surveyed her classmates to find out how many pairs of shoes they own. Her data is displayed below. How many students did she include in her survey?

Question illustration
A
5
B
6
C
18
D
19

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