AnswersIntegrated Math II FullComparing Measures of Center and Variability

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4

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?

Question illustration
A
The difference between the mean times is about equal to the mean absolute deviation of the data sets.
B
The difference between the mean times is about 2 times the mean absolute deviation of the data sets.
C
The difference between the mean times is about 5 times the mean absolute deviation of the data sets.
D
The difference between the mean times is about 16 times the mean absolute deviation of the data sets.
5

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.

A
The mean of the tree heights at Yard Works is less than the mean of the tree heights at The Grow Station.
B
The median of the tree heights at Yard Works is greater than the median of the tree heights at The Grow Station.
C
The range of the tree heights at Yard Works is greater than the range of the tree heights at The Grow Station.
D
The mean absolute deviation of the tree heights at Yard Works is greater than the mean absolute deviation of the tree heights at The Grow Station.
E
The mean absolute deviation of the tree heights at Yard Works is equal to the mean absolute deviation of the tree heights at The Grow Station.
9

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?

A
The books she read this summer had more pages, on average, than last summer.
B
The number of pages in each book varied more last summer than this summer.
C
Last summer, the average book had nearly twice the number of pages than the average book has this summer.
D
This summer, the number of pages in a book varied nearly twice as much as the number of pages in last summer's books
11

Joaquin and Trisha are playing a game in which the lower median wins the game. Their scores are shown below.Joaquin’s scores: 75, 72, 85, 62, 58, 91Trisha’s scores: 92, 90, 55, 76, 91, 74Which supports the conclusion that Joaquin won the game?

A
Joaquin won because the median of his scores is 73.5 and the median of Trisha’s scores is 83.
B
Joaquin won because the median of his scores is 83 and the median of Trisha’s scores is 73.5.
C
Trisha won because the median of her scores is 73.5 and the median of Joaquin’s scores is 83.
D
Trisha won because the median of her scores is 83 and the median of Joaquin’s scores is 73.5.
14

Last week’s and this week’s low temperatures are shown in the table below.Low Temperatures for 5 Days This Week and Last WeekLow TemperaturesThis Week ()410696Low TemperaturesLast Week ()139585Which measures of center or variability are greater than 5 degrees? Select three choices.

Question illustration
A
the mean of this week’s temperatures
B
the mean of last week’s temperatures
C
the range of this week’s temperatures
D
the mean absolute deviation of this week’s temperatures
E
the mean absolute deviation of last week’s temperatures

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