Comparing measure of center and Variability

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, 91

Trisha’s scores: 92, 90, 55, 76, 91, 74

Which supports the conclusion that Joaquin won the game?

• Joaquin won because the median of his scores is 73.5 and the median of Trisha’s scores is 83.

• Joaquin won because the median of his scores is 83 and the median of Trisha’s scores is 73.5.

• Trisha won because the median of her scores is 73.5 and the median of Joaquin’s scores is 83.

• Trisha won because the median of her scores is 83 and the median of Joaquin’s scores is 73.5.

What is the mean absolute deviation of her math scores?

• 5.4

• 6.4

• 7.8

• 8.8

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?

• Barb is correct if both the mean and median scores are considered.

• Barb is correct if only the median score is considered.

• Darius is correct if both the mean and median scores are considered.

• Darius is correct if only the median score is considered.

Enzo’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?

• 1.2

• 4.4

• 5.6

• 6.0

The difference of the means is found and then compared to each of the mean absolute deviations. Which is true?

• The difference between the mean times is about equal to the mean absolute deviation of the data sets.

• The difference between the mean times is about 2 times the mean absolute deviation of the data sets.

• The difference between the mean times is about 5 times the mean absolute deviation of the data sets.

• The difference between the mean times is about 16 times the mean absolute deviation of the data sets.

Which statement comparing the modes to the ranges is true?

• The modes differ by 40 and the ranges differ by 40.

• The modes differ by 20 and the ranges differ by 20.

• The modes differ by 40, but the ranges differ by 20.

• The modes differ by 20, but the ranges differ by 40.

What is the ratio of the difference in the means to the Mean Absolute Deviation of Team B?

• 0.09

• 0.15

• 0.25

• 0.65

Which measures of center or variability are greater than 5 degrees? Select three choices.

• the mean of this week’s temperatures

• the mean of last week’s temperatures

• the range of this week’s temperatures

• the mean absolute deviation of this week’s temperatures

• the mean absolute deviation of last week’s temperatures

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?

• 2

• 5

• 18

• 28

Step 1 Add Scores: 76+62+94+80=312

Step 2 Divide the sum of the scores by 4: 312/4 = 78 Step 3 Add the difference between the mean and each score: (76-78)+(62-78)+(94-78)+(80-78)=0

Step 4 Divide by 4: 0/4 = 0

• Step 1

• Step 2

• Step 3

• Step 4