Question

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

Explanation:

Step1: Sort Data Set M

Sort Data Set M: \(36,69,83,87,97\)

Step2: Find median of Data Set M

Since there are \(n = 5\) (odd) values, median is the \(\frac{n + 1}{2}\)th value. \(\frac{5+1}{2}=3\)rd value. Median of M is \(83\)

Step3: Sort Data Set N

Sort Data Set N: \(62,104,141,152,184\)

Step4: Find median of Data Set N

Since \(n = 5\) (odd), median is the \(\frac{5 + 1}{2}=3\)rd value. Median of N is \(141\)

Step5: Compare medians

\(83<141\)

Step6: Find minimum of Data Set M

Minimum of M is \(36\)

Step7: Find minimum of Data Set N

Minimum of N is \(62\)

Step8: Compare minima

\(36<62\)

Answer:

The median of Data Set M is less than the median of Data Set N. The minimum of Data Set M is less than the minimum of Data Set N.