Unit Test — Unit test Answers

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Rodell wants to find the favorite gaming app among the students at his school. He decides to poll the thirty students on his football team and the fifteen students on his basketball team to gather the data. What is wrong with Rodell’s method for collecting his data?

Rodell only polled fellow athletes; this sample does not represent nonathletes at the school.

Rodell needs a larger sample size than two sports teams to represent a whole school.

Rodell polled everyone on his teams; he should have only polled every other student for it to be a true sample.

Rodell’s polling method only included fall and winter sports; he should have also included a spring sport like baseball.

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Georgina likes to read during her summer break. The table below shows the number of pages in each book she read last summer and the number of pages in each book she read this summer.Number of Pages Georgina Reads during the SummerLast Summer140220190180190This Summer150170150190180What inference can someone draw about the data?

The books she read this summer had more pages, on average, than last summer.

The number of pages in each book varied more last summer than this summer.

Last summer, the average book had nearly twice the number of pages than the average book has this summer.

This summer, the number of pages in a book varied nearly twice as much as the number of pages in last summer's books

Madison claims that two data sets with the same median will have the same variability. Which data set would provide good support for whether her claim is true or false?

Her claim is true and she should use these data sets to provide support.

Her claim is true and she should use these data sets to provide support.

Her claim is false and she should use these to show that two data sets with the same median can have different variability.

Her claim is false and she should use these to show that two data sets with the same median can have different variability.

Kyle believes that the equation of the line of best fit for the scatterplot below is . Which statement best summarizes why Kyle is incorrect?

Kyle’s equation has a negative y-intercept, but the scatterplot shows a point on the y-axis with a positive y-value.

Kyle’s equation has a negative y-intercept, but the scatterplot shows a positive correlation.

Kyle’s equation has a negative slope, but the scatterplot shows a point on the y-axis with a positive y-value.

Kyle’s equation has a negative slope, but the scatterplot shows a positive correlation.

The histogram below shows the age distribution of Elizabeth’s grandchildren. The box-and-whisker plot below shows the same data. Which of the following best explains why one graph appears skewed and one graph appears symmetric?

The intervals on the x-axis of the histogram are too large.

The interval on the y-axis of the histogram is too small.

The interval on the x-axis of the histogram is inconsistent.

The interval on the box-and-whisker plot is too small.

The scatterplot shows the distance (in feet) that a person was from a motion sensor during an experiment in math class. Use the labeled points to create a linear model. About what distance in feet (y) would a person be 8 seconds after the experiment begins?

21 ft

27 ft

30 ft

57 ft

Joaquin and Trisha are playing a game in which the lower median wins the game. Their scores are shown below.Joaquin’s scores: 75, 72, 85, 62, 58, 91Trisha’s scores: 92, 90, 55, 76, 91, 74Which supports the conclusion that Joaquin won the game?

Joaquin won because the median of his scores is 73.5 and the median of Trisha’s scores is 83.

Joaquin won because the median of his scores is 83 and the median of Trisha’s scores is 73.5.

Trisha won because the median of her scores is 73.5 and the median of Joaquin’s scores is 83.

Trisha won because the median of her scores is 83 and the median of Joaquin’s scores is 73.5.

Souta wants to compare the mean of his test scores in French class to the mean absolute deviation.Language Test ScoresFrench Scores766294 80He uses the steps below to find both the mean and mean absolute deviation. French ScoresStep 1Add the scores. Step 2Divide the sum of the scores by 4.Step 3Add the differences between the mean and each score.Step 4Divide by 4.In which step did Souta make the first error?

Step 1

Step 2

Step 3

Step 4

Which data collections show bias? Check all that apply.

An English teacher polls the top-ten most avid readers to find their favorite books.

An insurance company polls drivers of sports cars to find their average number of tickets.

A restaurant manager surveys every tenth customer for one week.

An assistant principal surveys each student who is sent for discipline.

A fundraiser organizer draws five names from a hat that contains all entries.

What is the range of the data below?

Which phrase best describes the scatterplot below?

moderate negative correlation

strong positive correlation

weak negative correlation

weak positive correlation

A data set has a maximum of 84, a minimum of 34, a median of 52.5, an upper quartile of 64, and a lower quartile of 44. Which statement is true of the box plot of this data set?

The box will go from 44 to 64.

A line dividing the box will be at 54.

The left whisker will go from 34 to 52.5.

The right whisker will go from 44 to 84.

Ariel wants to find out the most popular theme for spirit week at school. She cannot decide between two methods. Option 1: She will poll each student who leaves the gym after sports practice.Option 2: She will randomly poll three students from each first-period class.Which statement about the methods is true?

Option 1 is biased.

Option 2 is biased.

Neither is biased.

Both are biased.

A scatterplot is used to display data where x is the amount of time, in minutes, one member can tolerate the heat in a sauna, and y is the temperature, in degrees Fahrenheit, of the sauna. Which interpretation describes a line of best fit of y = –1.5x + 173 for the data?

The member can tolerate a temperature of 173° Fahrenheit for 0 minutes.

The amount of time the member can tolerate the heat in a sauna is 173 minutes.

The time increased 1.5 minutes for every degree Fahrenheit the temperature increased.

The time decreased 1.5 minutes for every degree Fahrenheit the temperature decreased.

For several years, Graham has gathered data on students who own a computer and on their performance on a typing-speed test. He creates the linear model y = 3.8x + 17.4 where y represents the typing speed, in words per minute, of a student and x represents the number of years the student has owned a computer. According to Graham’s model, what is the approximate speed of a student who has owned a computer for three years?

21 words/min

29 words/min

56 words/min

64 words/min

The graph displays the relationship between the length of time an employee works at a company and the number of the employee’s monthly customers. If the equation for the line of best fit is y = 4.5x + 2, which of the following can be used to interpret the y-intercept in context?

Employee training takes 2 months.

Employee training takes 4.5 months.

Employees are likely to bring 2 customers with them when changing jobs.

Employees are likely to bring 4.5 customers with them when changing jobs.

The dot plot and box plot show different displays of the ages of runners on a track team.Which statements best describe the dot plot or box plot? Check all that apply.

Add the number of dots above each age in the dot plot to find the number of players on the team: 2 + 1 + 3 + 2 + 3 + 2 = 13.

Subtract the maximum and minimum values of the box plot to find the number of players on the team: 12 – 7.

The median appears clearly on the dot plot at the center of the number line: 9.5.

The median appears clearly on the box plot at the line within the box: 10.

The dot plot is the only display that can be used to show the variability of the data.

The box plot is the only display that can be used to show the variability of the data.

The box-and-whisker plot below shows the age distribution of people at a family reunion.The stem-and-leaf plot below shows the same data.Which of the following best explains why one graph appears skewed and one graph appears symmetrical?

The scale of the box-and-whisker plot does not start at zero.

The interval of the box-and-whisker plot is too large.

The interval of the stem-and-leaf plot is not consistent.

The scale of the stem-and-leaf plot is too small for the set of data.

Which statement describes a cause of skewed data?

a sample with not enough observations from the population being measured

a random collection of data from the population being measured

an inclusive sample that includes all subsets of a population being measured

a sample that excludes subjects that are not part of the population being measured

Daniela recorded the low temperatures during the school day last week and this week. Her results are shown in the table below.Low Temperatures during the School Day This Week and Last WeekLow TemperaturesThis Week ()4238454639Low TemperaturesLast Week ()5658526262Daniela used the steps below to find a relationship between the difference in the mean temperatures and the mean absolute deviations of the data sets. This WeekLast WeekStep 1Find the mean.Find the mean. Step 2Find the mean absolute deviation.Find the mean absolute deviation.Step 3Find the ratio of the differences of the means compared to the mean absolute deviation.Find the ratio of the differences of the means compared to the mean absolute deviation.Step 4The difference in the means is about times the mean absolute deviations.In which step did Daniela make the first error?

Step 1

Step 2

Step 3

Step 4

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Unit Test — Unit test Answers

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