Question

the most appropriate measure of center for this data is the median. complete which statement about the data is true? the mean is greater than the median. the mean is equal to the median. the mean is less than the median. complete what is the median of the data? done weight of male dogs (lb.) 4|5 5|0 2 8 6|2 8 7|2 8 8|1 9|5 8|1 means 81

Explanation:

Step1: Write out the data set

The data set from the stem - and - leaf plot is \(45,50,52,58,62,68,72,78,81,95\).

Step2: Calculate the number of data points

There are \(n = 10\) data points.

Step3: Find the median

For \(n = 10\) (an even - numbered data set), the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+ 1)\)th ordered data points. \(\frac{n}{2}=5\) and \(\frac{n}{2}+1 = 6\). The 5th value is \(62\) and the 6th value is \(68\). So the median \(M=\frac{62 + 68}{2}=\frac{130}{2}=65\).

Step4: Calculate the mean

The mean \(\bar{x}=\frac{45+50+52+58+62+68+72+78+81+95}{10}=\frac{661}{10}=66.1\).

Answer:

65