Answers 2025-2026 TPS CR Algebra 1 BLine of Best Fit

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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?

They have the same means but different medians.

They have the same medians but different interquartile ranges.

They have the same interquartile ranges but different ranges.

They have the same ranges but different means.

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What is the median in the box plot?

Answer not available

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 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).

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).

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).

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).

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

The table shows the height, in meters, of an object that is dropped as time passes until the object hits the ground.A line of best fit for the data is represented by h = –21.962x + 114.655. Which statement compares the line of best fit with the actual data given by the table?

According to the line of best fit, the object would have hit the ground 0.6 seconds later than the actual time the object hit the ground.

According to the line of best fit, the object was dropped from a lower height.

The line of best fit correctly predicts that the object reaches a height of 40 meters after 3.5 seconds.

The line of best fit predicts a height of 4 meters greater than the actual height for any time given in the table.

A weekly report for new agents at a vacation sales company is shown in the histogram.How many of the new agents sold more than 10 vacation packages?

Answer not available

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?

The box will go from 10 to 12.

A line dividing the box will be at 12.

The left whisker will go from 4 to 15.

The right whisker will go from 12 to 20.

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

The independent variable influences change in the dependent variable only if the points on the scatterplot go up from left to right.

The independent variable influences change in the dependent variable whether the points on the scatterplot go up or down from left to right.

The dependent variable influences change in the independent variable only if the points on the scatterplot go up from left to right.

The dependent variable influences change in the independent variable whether the points on the scatterplot go up or down from left to right.

Maria made a histogram to represent her jogging miles.The height of the bars in the histogram represent

the number of runs Maria jogged in each range of miles.

the number of marathons Maria entered.

the number of days Maria jogged that week.

the number of weeks Maria jogged.

Which describes a correct way to construct a scatterplot?

When analyzing the number of home runs that a baseball player hit over several seasons, the season is the independent variable.

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.

When analyzing the number of registered voters by age, age is the dependent variable.

When analyzing the number of students that ride the school bus each day of the week, the day is the dependent variable.

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.

Her mean science score is higher than her mean math score.

She prefers science over math.

There is more variation in her math scores.

Her science scores are more spread out than her math scores.

Her median scores are the same for each subject.

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

The data is symmetric and shows that she was equally likely to work more than 3.5 hours or less than 5 hours.

The data is symmetric and shows that she never worked more than 5 hours.

The data is skewed and shows that she was equally likely to work more than 3.5 hours or less than 5 hours.

The data is skewed and shows that she never worked more than 5 hours.

Between which two values would 75% of the data represented on a box plot lie? Check all that apply.

the median and the maximum

the lower quartile and the maximum

the lower quartile and the upper quartile

the minimum and the upper quartile

the minimum and the maximum

the median and the upper quartile

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?

One of the means is incorrect, but the reasoning is correct.

Both of the means are incorrect, and the reasoning is also incorrect.

Both of the means are correct, but the reasoning is incorrect.

One of the means is incorrect, and the reasoning is also incorrect.

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?

Denise is winning because she has the greater mean.

Denise is winning because she is generally closer to the center.

Sandra is winning because she has the greater mean.

Sandra is winning because she is generally closer to the center.

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