Question

The price for packs of bottled water at a grocery store over a nine week period was as follows: $3.25, $3.00, $3.50, $3.75, $3.25, $3.00, $2.50, $3.00, $2.75. Find the lower quartile rounded to the penny.

Answer 1

The lower quartile is $3.00

Explanation:

To find the lower quartile, we arrange the data sequentially to get

$3.75

$3.50

$3.25

$3.25

$3.00

$3.00

$3.00

$2.75

$2.50

Therefore, we have 9 count of data wherby the lower quatile can b found as the median of the data set's lower half. That is the lower quartile is the median of the following data set,

$3.00

$3.00

$3.00

$2.75

$2.50

Note that since the total number of element or count is odd, we add the median to the lower half data set to give the lower quartile as the median of the 5 numbers which is $3.00.