Question

the most appropriate measure of center for this data is the median. 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. 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 median

There are \(n = 10\) data points. The median is the average of the \(\frac{n}{2}=5\)th and \((\frac{n}{2}+ 1)=6\)th ordered values. So, median\(=\frac{62 + 68}{2}=65\).

Step3: Calculate the mean

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

Answer:

The mean is greater than the median.