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 8|1 means 81

Explanation:

Step1: List out the data

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

Step2: Calculate the median

Since there are \(n = 10\) data points (an even number of data points), the median formula for an even - numbered data set is \(M=\frac{x_{\frac{n}{2}}+x_{\frac{n}{2}+1}}{2}\).
Here, \(\frac{n}{2}=5\) and \(\frac{n}{2}+1 = 6\).
\(x_5=62\) and \(x_6=68\).

$$M=\frac{62 + 68}{2}=\frac{130}{2}=65$$

Answer:

\(65\)