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. 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

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

Step2: Calculate the median

Since \(n = 10\) (even number of data points), the median \(M=\frac{x_{5}+x_{6}}{2}\). Here \(x_{5}=62\) and \(x_{6}=68\), so \(M=\frac{62 + 68}{2}=\frac{130}{2}=65\).

Step3: Calculate the mean

The mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). \(\sum_{i=1}^{10}x_{i}=45 + 50+52+58+62+68+72+78+81+95=661\). Then \(\bar{x}=\frac{661}{10}=66.1\).

Answer:

The mean is greater than the median.