Question

rosas lawn mowing
the stem - and - leaf plot shows what rosa was paid for mowing lawns.
key: 1 | 5 = $15
what is the median of the payments he received?

Explanation:

Step1: Write out all the data values

Using the key \(1|5 = \$15\), the data values are: \(15,23,25,30,30,33,35,35,35,38,40,40,41,43,45,45,45,47,50,51,53,55,58,65\)

Step2: Find the number of data points

Count the number of data points \(n = 24\) (an even number).

Step3: Use the median formula for even - numbered data sets

The median formula for \(n\) even is \(\text{Median}=\frac{x_{\frac{n}{2}}+x_{\frac{n}{2}+1}}{2}\). Here, \(\frac{n}{2}=\frac{24}{2}=12\) and \(\frac{n}{2}+1 = 13\).
The \(12^{\text{th}}\) value \(x_{12}=40\) and the \(13^{\text{th}}\) value \(x_{13}=41\)

Step4: Calculate the median

\(\text{Median}=\frac{40 + 41}{2}=\frac{81}{2}=40.5\)

Answer:

\(40.5\)