Grade 6 | Unit 8 | Lesson 11: Variability and MAD | Practice Problems

The dot plot shows the number of pages Han read each day for five days. Is 30 pages a good estimate of the mean number of pages that Han read each day? Explain your reasoning.

• Yes, it is a good estimate.

• No, it is not a good estimate.

Find the mean number of pages that Han read during the five days and mark it on the dot plot. Use the dot plot and the mean to complete the table below:

number of pages	distance from mean	left or right of mean
25		left
28
32
36
42

Calculate the mean absolute deviation (MAD) of the data. Explain or show your reasoning.

The dot plot shows travel times of ten sixth-grade students. Which number of minutes—9 or 4.2—is a typical amount of time for the ten students to travel to school? Explain your reasoning.

• 9 minutes

• 4.2 minutes

Based on the mean and MAD, Jada believes that travel times between 5 and 13 minutes are common for this group. Do you agree? Explain your reasoning.

• Agree

• Disagree

A different group of ten sixth-grade students recorded their travel times to school. Their mean travel time was also 9 minutes, but the MAD was about 7 minutes. What could the dot plot of this second data set be? Describe or draw how it might look.

In an archery competition, scores for each round are calculated by averaging the distance of 3 arrows from the center of the target. An archer has a mean distance of 1.6 inches and a MAD distance of 1.3 inches in the first round. In the second round, the archer's arrows are farther from the center but are more consistent. What values for the mean and MAD would fit this description for the second round? Explain your reasoning.