Comparing Measures of Center and Variability Answers

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?

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?

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 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?

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?

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?

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

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?