Topic Test Answers

Two months ago, the mean daily rainfall in a local city was 9.4 cm. The mean absolute deviation was 3.5 cm. Last month, the mean daily rainfall in that city was 11.5 cm, and the mean absolute deviation was 1.6 cm.Which statement about the rainfall is true?

The means and mean absolute deviations of the amount of rain that fell each day in a local city, last week and this week, are shown below.Means and Mean Absolute Deviations of Rainfall Last Week and This Week Last WeekThis WeekMean 3.5 in.2.7 in.Mean Absolute Deviation1.2 in.0.5 in.Which expression compares the difference of the two means to this week’s mean absolute deviation?

Jillian and Dawn are playing a game of miniature golf. In this game, the score on a hole is the number of putts it takes to get the ball into the hole. The winner is the player with the lowest score. After playing 18 holes, Jillian’s mean is 2.4 and Dawn’s mean is 3.3. Which explains who won the game?

The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below.Means and Mean Absolute Deviations of Sidney’s and Phil’s Grades SidneyPhilMean8278Mean Absolute Deviation3.283.96Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?

Enzo and Zahra are playing a game. Their scores for five games are shown in the table below.Enzo’s and Zahra’s ScoresEnzo’s Scores3947465038Zahra’s Scores3733453045Enzo’s mean score is 44. Zahra’s mean score is 38. How much greater is the mean absolute deviation for Zahra's scores than for Enzo's scores?

Miguel is calculating the slope of a line of best-fit in the scatterplot below. Which pair of points would be best for Miguel to use?

What is the range of this set of test scores?{76, 82, 54, 100, 100, 82, 100, 93, 100, 93}

A data set has a maximum of 200, a minimum of 115, a median of 145, an upper quartile of 150, and a lower quartile of 120. Which statement is true of the box plot of this data set?

Willis has noticed that when time has been one of the variables analyzed by a scatterplot he has looked at, it has always been the independent variable. He has hypothesized that time can never be a dependent variable. Does the scatterplot below confirm or invalidate Willis’s hypothesis?

Janelle made ordered lists of the heights, in inches, of the students in Ms. Carver’s and Mr. Wright’s homerooms. She found the two lists had the same median value, but the list from Ms. Carver’s class showed greater variability. If the shortest student in Mr. Wright’s homeroom is 48 inches tall and the tallest student is 64 inches tall, what could be the heights of the shortest and tallest students in Ms. Carver’s homeroom?

The list below shows the prices of T-shirts at a clothing store.{8, 10, 10, 12, 15, 15, 18}Which statement best describes the mean of this set?

Jacqueline practiced drums four times last week for sessions of 40 minutes, 35 minutes, 45 minutes, and 30 minutes. Cassie practiced five times last week for sessions of 15 minutes, 30 minutes, 15 minutes, 15 minutes, and 50 minutes. Which statement is true based on the data above?

Which value can be added to the set below without changing its mean?{4, 10, 14, 18, 22, 22}

The median age of the science teachers at Mike’s school is the same as the median age of the math teachers, but the ages of the math teachers show greater variability. Which statement most likely describes the data sets?

Which of the following scatterplots would have a trend line with a positive slope?

Polina’s math scores are shown in the table.Polina’s Math ScoresMath Scores7265758890What is the mean absolute deviation of her math scores?

Which letter represents the maximum of the data set on the box plot?

James needs to draw the trend line for both scatterplot A and scatterplot B. Scatterplot AScatterplot BWhich of these statements is correct?

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?

Which statement best describes the interquartile range of this set of weights?{120 lb, 115 lb, 135 lb, 105 lb, 80 lb, 160 lb}