Chapter 13.3, Problem 19STP

To determine

To find: The lower quartile of the set of data.

Answer to Problem 19STP

Lower quartile is $7$

  $\left(A\right)$ is the correct option.

Outlier is $150$

Explanation of Solution

Given:

  $32,12,7,8,10,5,14,19,7,15,11$

  $\begin{array}{l}\left(A\right)7\left(C\right)11\\ \left(B\right)7.5\left(D\right)15\end{array}$

Calculation:

The given data is $\text{32,12,7,8,10,5,14,19,7,15,11}$

Arrange this set of the data in numeric order

  $5,7,7,8,10,11,12,14,15,19,32$

The lower quartile is the median of the left half of the data.

The left half of the data is $5,7,7,8,10$

Median of this left half of the data is $7$

So, lower quartile is given by

  $Q_1=7$

  $\left(A\right)$ is the correct option.