Question

based on the two data sets represented below, complete the following sentences. data set d data set e answer attempt 1 out of 2 the median of data set d is than the median of data set e. the minimum of data set d is than the minimum of data set e.

Explanation:

Step1: Count data - points in Data Set D

Data Set D has 20 data - points. Since \(n = 20\) (an even number), the median is the average of the \(\frac{n}{2}=10\)th and \((\frac{n}{2}+1) = 11\)th ordered data - points. Counting from the left, the 10th and 11th ordered data - points are both 75, so the median of Data Set D is 75.

Step2: Count data - points in Data Set E

Data Set E has 20 data - points. Since \(n = 20\) (an even number), the median is the average of the \(\frac{n}{2}=10\)th and \((\frac{n}{2}+1)=11\)th ordered data - points. Counting from the left, the 10th and 11th ordered data - points are both 74, so the median of Data Set E is 74.

Step3: Find the minimum of each data set

The minimum of Data Set D is 72. The minimum of Data Set E is 70.

Answer:

The median of Data Set D is greater than the median of Data Set E. The minimum of Data Set D is greater than the minimum of Data Set E.