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. median = $ 1.75 $1.59 $1.60 $1.64 $1.70 $1.80 $1.83 $1.85 $2.00 lower quartile (q1) = $ 1.62 upper quartile (q3) = $ 1.84 describe the data set. about? of the prices are less than $1.62. about? of the prices are more than $1.84.

Explanation:

Step1: Recall the definition of quartiles

The lower quartile (Q1) divides the data set into the lower 25% (or the first - quarter) of the data. The upper quartile (Q3) divides the data set into the upper 25% (or the last - quarter) of the data.

Step2: Apply the quartile definitions to the problem

Since Q1 is the value below which about 25% of the data lies, for the value of Q1 = $1.62$, about 25% of the prices are less than $1.62$.
Since Q3 is the value below which about 75% of the data lies, the proportion of data more than Q3 is \(100\% - 75\%=25\%\). So about 25% of the prices are more than $1.84$.

Answer:

About 25% of the prices are less than $1.62$. About 25% of the prices are more than $1.84$.