Question

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

Explanation:

Step1: Sort Data Set E

Sort Data Set E: \(40, 88, 103, 124, 167\).

Step2: Find Median of Data Set E

Since there are \(n = 5\) (odd) values, median \(M_E=\frac{n + 1}{2}\) - th value. \(\frac{5+1}{2}=3\) - rd value. So \(M_E = 103\).

Step3: Sort Data Set F

Sort Data Set F: \(34, 46, 63, 84, 180\).

Step4: Find Median of Data Set F

Since \(n = 5\) (odd), median \(M_F=\frac{5 + 1}{2}\) - th value. \(\frac{5+1}{2}=3\) - rd value. So \(M_F=63\).

Step5: Compare Medians

Since \(103>63\), median of E is greater than median of F.

Step6: Find Minimums

Minimum of E: \(40\). Minimum of F: \(34\).

Step7: Compare Minimums

Since \(40>34\), minimum of E is greater than minimum of F.

Answer:

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