Question

a group of high school students worked part - time jobs over the summer. their weekly earnings are shown in the dot plot. what is the median of their earnings? weekly wages $150 $180 $130 $153 130 140 150 160 170 180 wages ($)

Explanation:

Step1: Count the number of data - points

There are 1 + 2+3 + 2+1+1=10 data - points.

Step2: Determine the position of the median

For a set of \(n = 10\) (an even - numbered set of data), the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+ 1)\)th ordered data - points. \(\frac{n}{2}=\frac{10}{2}=5\) and \(\frac{n}{2}+1 = 6\).

Step3: Order the data and find the median

Ordering the data from the dot - plot: 130, 140, 140, 150, 150, 150, 160, 170, 180, 180. The 5th value is 150 and the 6th value is 150. The median is \(\frac{150 + 150}{2}=150\).

Answer:

$150$