Comparing Measures of Center and Variability Answers

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

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

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.

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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?

Elias likes to read during his summer breaks. The table below shows the number of pages in each book he read last summer and the number of pages in each book he read this summer.Number of Pages Elias Read during the SummerLast Summer140220190180190This Summer150170150190180Which statement comparing the modes to the ranges is true?

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?

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?

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?

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?