Dolores recently enrolled in a retirement plan. Find the median of the following prices per share (in dollars) of the stocks in her retirement portfolio.

[tex]$35, 43, 18, 35, 29, 27, 19, 19$[/tex]



Answer :

To find the median of Dolores' stock prices in her retirement portfolio, follow these steps:

1. List the prices:
The given prices per share are: \[tex]$35, \$[/tex]43, \[tex]$18, \$[/tex]35, \[tex]$29, \$[/tex]27, \[tex]$19, \$[/tex]19

2. Sort the prices in ascending order:
The sorted list of prices is: \[tex]$18, \$[/tex]19, \[tex]$19, \$[/tex]27, \[tex]$29, \$[/tex]35, \[tex]$35, \$[/tex]43

3. Determine the number of prices:
There are 8 prices in the list.

4. Check if the number of prices is even or odd:
Since 8 is an even number, the median will be the average of the two middle numbers in the sorted list.

5. Identify the two middle numbers:
The two middle numbers are the 4th and 5th elements in the sorted list: \[tex]$27 and \$[/tex]29.

6. Calculate the median:
The median is the average of these two middle numbers:
[tex]\[ \text{Median} = \frac{27 + 29}{2} = \frac{56}{2} = 28 \][/tex]

Therefore, the median price per share in Dolores' retirement portfolio is \$28.