Final answer:
a. The typical amount of time for the ten sixth grade students to travel to school is 9 minutes. b. Based on the mean and MAD, it is possible that travel times between 5 and 13 minutes are common for this group. c. The dot plot of the second data set could have more variability compared to the first data set.
Step-by-step explanation:
a. In a dot plot, a typical amount of time is represented by a cluster of dots. Looking at the dot plot, we can see that the number 9 has the highest frequency, which means that it is the most common travel time. Therefore, 9 minutes is a typical amount of time for the ten sixth grade students to travel to school.
b. To determine if travel times between 5 and 13 minutes are common for this group, we can consider the mean and MAD (mean absolute deviation). If the mean is close to the middle of the range and the MAD is small, it can indicate that the majority of the data falls within that range. In this case, the mean of 9 minutes falls within the range of 5 to 13 minutes, and the MAD is not provided. Therefore, Jada's belief that travel times between 5 and 13 minutes are common for this group could be reasonable, but we would need more information to confirm it.
c. Since the mean travel time is 9 minutes and the MAD is about 7 minutes, the dot plot of the second data set could have more variability compared to the first data set. This means that the data points could be spread out more, resulting in a wider range of travel times.