Lesson 11: Deviation from the Mean | Unit 8: Data Sets and Distributions

Open Ended

Is 30 pages a good estimate of the mean number of pages that Han read each day? Explain your reasoning.

Draw

Find the mean number of pages that Han read during the five days. Draw a triangle to mark the mean on the dot plot.

Draw

Use the dot plot and the mean to complete the table.

Open Ended

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

Open Ended

Is 9 or 4.2 a better estimate for the typical amount of time the ten sixth-grade students travel to school? Explain your reasoning.

Open Ended

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.

Draw

A different group of ten sixth-grade students also record 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.

Open Ended

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.