OpenUp 6th Math 8.11 Practice Problems and Vocab

The ___ ___ ___ is one way to measure how spread out a data set is. Sometimes we call this the MAD. For example, for the data set 7, 9, 12, 13, 14, the MAD is 2.4. This tells us that these travel times are typically 2.4 minutes away from the mean, which is 11. (3 words)

How do you find the MAD of a data set?

• add up the distance between each data point and the mean. Then, divide by how many numbers there are

• add up the distance between each data point and the median. Then, divide by how many numbers there are

• add up the distance between each data point and the mean. Then, multiply by how many numbers there are

• add up the distance between each data point and the median. Then, multiply by how many numbers there are

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

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

Han recorded the number of pages that he read each day for five days. The dot plot shows his data. Use the dot plot and the mean to complete the table.

Han recorded the number of pages that he read each day for five days. The dot plot shows his data. Calculate the mean absolute deviation (MAD) of the data. Explain or show your reasoning.

Ten sixth-grade students recorded the amounts of time each took to travel to school. The dot plot shows their travel times.

The mean travel time for these students is approximately 9 minutes. The MAD is approximately 4.2 minutes.​

Which number of minutes is a typical amount of time for the ten sixth-grade students to travel to school, 9 or 4.2? Explain your reasoning.

Ten sixth-grade students recorded the amounts of time each took to travel to school. The dot plot shows their travel times.

The mean travel time for these students is approximately 9 minutes. The MAD is approximately 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.

Ten sixth-grade students recorded the amounts of time each took to travel to school. The dot plot shows their travel times.

The mean travel time for these students is approximately 9 minutes. The MAD is approximately 4.2 minutes.​

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