Question

question based on the two data sets represented below, complete the following sentences. data set m data set n answer 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: Count data - points in Data Set M

Count the number of dots in Data Set M. There are 20 data - points. Since \(n = 20\) (even), the median is the average of the \(\frac{n}{2}=10\)th and \((\frac{n}{2}+ 1)=11\)th ordered data - points. Counting the dots from left to right, the 10th and 11th ordered data - points are both 56, so the median of Data Set M is 56.

Step2: Count data - points in Data Set N

Count the number of dots in Data Set N. There are 18 data - points. Since \(n = 18\) (even), the median is the average of the \(\frac{n}{2}=9\)th and \((\frac{n}{2}+1)=10\)th ordered data - points. Counting the dots from left to right, the 9th and 10th ordered data - points are both 55, so the median of Data Set N is 55.

Step3: Compare medians

Since \(56>55\), the median of Data Set M is greater than the median of Data Set N.

Step4: Find minimum values

The minimum value of Data Set M is 51 and the minimum value of Data Set N is 52. Since \(51 < 52\), the minimum of Data Set M is less than the minimum of Data Set N.

Answer:

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