Chapter 13.3, Problem 12HP

To determine

To Find:List of data that each have at least $15$ values and a median of $10$ . One should have a range of $25$ and other have a range of $6$ .

Answer to Problem 12HP

  $1,1,2,45,7,8,10,12,12,13,16,21,24,26$

  $5,4,3,6,7,8,10,10,10,11,12,13,11$

Explanation of Solution

Given:Write two list of data that each have at least $15$ values and a median of $10$ . One should have a range of $25$ and other have a range of $6$ .

The set of data that have at least $15$ values and a median of $10$ and a range of $25$ is

  $1,1,2,45,7,8,10,12,12,13,16,21,24,26$

Then

  $\begin{array}{l}1,1,2,45,7,8,\underset{\_}{10},12,12,13,16,21,24,26\\ Median=10\end{array}$

Range = Highest value − lowest value

  $\begin{array}{l}=26-1\\ =25\end{array}$

The set of data that have at least $15$ values and a median of $10$ and a range of $6$ is

  $5,4,3,6,7,8,10,10,10,11,12,13,11$

Then

  $\begin{array}{l}5,4,3,6,7,8,10,\underset{\_}{10},10,11,12,13,11\\ Median=10\end{array}$

Range = Highest value − lowest value

  $\begin{array}{l}=11-5\\ =6\end{array}$