Comparing Measures of Center and Variability Answers

The means and mean absolute deviations of the individual times of members on two relay track teams are shown in the table below.Means and Mean Absolute Deviations of Individual Times of Members of Relay Track Teams Team ATeam BMean59.32 s59.1 sMean Absolute Deviation1.5 s2.4 sWhat is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B?

Last week’s and this week’s daily high temperatures are shown in the table below.High Temperatures for This Week and Last WeekHigh TemperaturesThis Week ()65737374737571High TemperaturesLast Week ()68516266857272How much greater is this week’s median temperature than last week’s median temperature?

Darius and Barb are playing a video game in which the higher score wins the game. Their scores are shown below.Darius’s scores: 96, 54, 120, 87, 123Barb’s scores: 92, 98, 96, 94, 110Barb says that she is the winner. Darius says that it is a tie. Who is correct?

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?

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?

The means and mean absolute deviations of the individual times of members of two relay swim teams are shown in the table below.Means and Mean Absolute Deviations of Individual Times of Members of Relay Swim Teams Team ATeam BMean127.9 s127.4 sMean Absolute Deviation0.26 s0.23 sThe difference of the means is found and then compared to each of the mean absolute deviations. Which is true?

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?

The heights, in feet, of the trees for sale at two nurseries are shown below.Yard Works: 7, 9, 7, 12, 5The Grow Station: 9, 11, 6, 12, 7Which statements are true regarding the measures of center and variability of these data sets? Select three choices.

Theo recorded the means and mean absolute deviations of his language arts and Biology scores. He found the difference in the means of the scores of the two subjects. What is the approximate ratio of the difference in the means to each of the mean absolute deviations?Means and Mean Absolute Deviations of Theo’s Scores Language ArtsBiologyMean9890Mean Absolute Deviation3.55

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 19.7 cm19.3 cmMean Absolute Deviation4.6 cm5.2 cmThe difference in the mean rainfall is approximately what percent of the mean absolute deviation of the this week’s rainfall?