AnswersAlgebra 2 MP 234 CHSRepresenting Data

Representing Data — Unit test Answers

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1
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Steve determined the number of states each of his friends has visited.Which statement must be true according to the box plot?

Question illustration
A
The data is skewed left and shows that half of Steve’s friends have visited 4 to 10 states.
B
The data is skewed left and shows that half of Steve’s friends have visited 10 to 40 states.
C
The data is skewed right and shows that half of Steve’s friends have visited 4 to 10 states.
D
The data is skewed right and shows that half of Steve’s friends have visited 10 to 40 states.
2
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Miranda is conducting a poll to determine how many students would attend a students-only school dance if one was held. Which sample is most likely to yield a representative sample for the poll?

A
twenty names from each grade pulled blindly from a container filled with the names of the entire student body written on slips of paper
B
every tenth person walking down Main Street in town at different times of the day
C
all of the students who write into the school newspaper
D
every student from all of Miranda’s classes
3

Sam kept track of the number of problems he was assigned for his math homework on the box plot.Which statement must be true according to the box plot?

Question illustration
A
The data is symmetric and shows that half of the assignments contained 15 problems or fewer.
B
The data is symmetric and shows that the majority of the assignments had 19 problems or more.
C
The data is skewed and shows that half of the assignments contained 15 problems or fewer.
D
The data is skewed and shows that the majority of the assignments had 19 problems or more.
4

Marisa recorded the number of hours she babysat each day last summer. She plotted the data in the box plot.

Question illustration
A
The data is symmetric and shows that she was equally likely to work more than 3.5 hours or less than 5 hours.
B
The data is symmetric and shows that she never worked more than 5 hours.
C
The data is skewed and shows that she was equally likely to work more than 3.5 hours or less than 5 hours.
D
The data is skewed and shows that she never worked more than 5 hours.
5

A farmer grows vegetables on seven acres, fruit on six acres, and flowers on two acres. Out in his fields, he finds a ladybug.To the nearest tenth of a percent, what is the theoretical probability that the ladybug was not found within the acres of flowers?

A
13.3%
B
15.4%
C
84.6%
D
86.7%
6

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?

Question illustration
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.
7

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

Question illustration
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.
8

The president of the math club is conducting a survey to see where the twelfth-grade class wants to go on their field trip. Instead of asking the whole class, she surveys only the twelfth-grade members of the math club. She records their choices and plans to present the results to the school principal. What type of sampling did she use?

A
systematic random sampling
B
simple random sampling
C
stratified sampling
D
convenience sampling
9

Voluntary sampling is one type of sampling method that is not probability based. This means that

A
each member of a population is equally likely to be chosen for the survey.
B
the results of the survey cannot reliably be extended and generalized.
C
the likelihood of a member of the population volunteering to be surveyed is not probable.
D
the results of the survey are not mathematically probable.
10

Ariana, Boris, Cecile, and Diego are students in the service club. Three of the four students will be chosen to attend a conference.Which choice represents the sample space, S, for this event?

A
S = {ABC, ABD, ACD, BCD}
B
S = {ABC, BCA, CDA, DAC}
C
S = {ABC, ABD, BAC, BDA, ACD, ADC, BCD, BDC}
D
S = {ABC, ABD, ACD, BCA, BCD, BDC, CAB, CBD, DAC, DBC}
11

A researcher wants to survey people from different age groups to analyze voting patterns. Which type of survey will best accomplish this goal?

A
systematic random sampling
B
voluntary sampling
C
convenience sampling
D
stratified sampling
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

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.
14

Ryder shot a model rocket over an area that consists of two grassy areas, shown in green, and an area with no grass, shown in white.

Question illustration
A
0.2
B
0.3
C
0.4
D
0.6

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