Question

jackson collects data on the price of a quart of milk at 8 different stores. the data are listed in order from least to greatest. find the median of the data set. $1.59 $1.60 $1.64 $1.70 $1.80 $1.83 $1.85 $2.00 median = $

Explanation:

Step1: Determine the number of data points

There are \(n = 8\) data points.

Step2: Use the median formula for even \(n\)

For a data set with \(n\) (even) values, the median is the average of the \(\frac{n}{2}\) -th and \((\frac{n}{2}+ 1)\) -th values. Here, \(\frac{n}{2}=\frac{8}{2} = 4\) and \(\frac{n}{2}+1=4 + 1=5\).
The 4 -th value is \(1.70\) and the 5 -th value is \(1.80\).

Step3: Calculate the average

The average of \(1.70\) and \(1.80\) is \(\frac{1.70+1.80}{2}=\frac{3.50}{2}=1.75\)

Answer:

\(1.75\)