Comparing Measure of Center

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

What conclusion can Ms. Long make about the performance of her first- and second-period classes?

• The first-period class had a higher median score than the second-period class.

• The second-period class scores had a higher mean than the first-period class scores.

• The first-period class scores had a greater range than the second-period class scores.

• The second-period class scores had a greater mean absolute deviation than the first-period class scores.

Compare the centers and spreads. 

•  Math has a higher median (center) and a wider spread.

•  Math has a higher median (center) and a smaller spread.

• Math has a lower median (center) and a smaller spread.

• Math has a lower median (center) and a wider spread.

Annabel is comparing the distances that two electric cars can travel after the battery is fully charged. Use the measures of center to make an inference about the data. Use the drop-down menus to complete your answer. ​ (a)   can travel further than ​ (b)   after the battery is fully charged.

• Car B

• Car A

The tennis team needs to raise money by selling raffle tickets. The box plots show how many tickets were sold over 15 days by 3 students. What is the appropriate measure of center for Daniel?​ (a)  

• Median

• Mean

• Range

• IQR

Use the measure of center to draw a conclusion about the data. The typical student in (a)   can jump higher than the typical student in​ (b)   .

• Class B

• Class A

Which measure of center should you use?

• mean

• median