Question

For his class survey, Walden chose the question, How many people live in your home, including yourself? He asked his friend Drake to help him with the survey. Walden asked 10 students in his class the question, and Drake posed the same question to 10 more students in their class.

Based on the responses, they wrote these data sets:

Walden’s data set: 2, 2, 2, 3, 3, 3, 3, 4, 4, 4

Drake’s data set: 3, 3, 4, 4, 4, 4, 5, 6, 7, 9

Compare the two data sets. Do they have the same center, or is the center of Walden’s data set greater or less than the center of Drake’s data set?

Answer 1

To compare the centers of two data sets, we find their medians. Walden's data set has a center of 3, while Drake's data set has a center of 4. Walden's data set has a center that is less than Drake's data set.

Step-by-step explanation:

To compare the two data sets, we need to find their centers. The center of a data set is typically represented by the median. To find the median of each data set, we arrange the values in ascending order:

Walden's data set: 2, 2, 2, 3, 3, 3, 3, 4, 4, 4

Drake's data set: 3, 3, 4, 4, 4, 4, 5, 6, 7, 9

Since the data sets have an even number of values, we take the average of the middle two values to find the median:

Walden's median: (3 + 3) / 2 = 3

Drake's median: (4 + 4) / 2 = 4

Therefore, Walden's data set has a center of 3, while Drake's data set has a center of 4. The center of Walden's data set is less than the center of Drake's data set.