Chapter CSB, Problem 6.3E

a.

To determine

Make a frequency table for data.

Answer to Problem 6.3E

  $\begin{array}{l}\mathrm{Pr}iceofpa\mathrm{int}ing\\ \begin{array}{ccc}\mathrm{Pr}iceindollars& Tally& Frequency\\ 300& \left|\right||& 3\\ 450& \left|\right||& 3\\ 600& \cancel{\left|\right|\left|\right|}|& 6\\ 750& \cancel{\left|\right|\left|\right|}& 5\\ 1200& \left|\right|& 2\\ 1350& |& 1\\ 1800& \left|\right|& 2\\ 2700& \left|\right|& 2\end{array}\end{array}$

Explanation of Solution

Given information:

The price in dollars of painting sold at an art auction,

  $\begin{array}{cccccccc}1800& 750& 600& 600& 1800& 1350& 300& 1200\\ 750& 600& 750& 2700& 600& 750& 300& 750\\ 600& 450& 2700& 1200& 600& 450& 450& 300\end{array}$

Calculation:

The frequency table for data is,

  $\begin{array}{l}\mathrm{Pr}iceofpa\mathrm{int}ing\\ \begin{array}{ccc}\mathrm{Pr}iceindollars& Tally& Frequency\\ 300& \left|\right||& 3\\ 450& \left|\right||& 3\\ 600& \cancel{\left|\right|\left|\right|}|& 6\\ 750& \cancel{\left|\right|\left|\right|}& 5\\ 1200& \left|\right|& 2\\ 1350& |& 1\\ 1800& \left|\right|& 2\\ 2700& \left|\right|& 2\end{array}\end{array}$

b.

To determine

Find the price most often paid for painting.

Answer to Problem 6.3E

  $\$600$

Explanation of Solution

Given information:

The price in dollars of painting sold at an art auction,

  $\begin{array}{cccccccc}1800& 750& 600& 600& 1800& 1350& 300& 1200\\ 750& 600& 750& 2700& 600& 750& 300& 750\\ 600& 450& 2700& 1200& 600& 450& 450& 300\end{array}$

Calculation:

  $\$600$ is the price most often paid for the paintings.

Hence, the price most often paid for painting is $\$600$.

c.

To determine

Find the average price for painting.

Answer to Problem 6.3E

  $\$819$

Explanation of Solution

Given information:

The price in dollars of painting sold at an art auction,

  $\begin{array}{cccccccc}1800& 750& 600& 600& 1800& 1350& 300& 1200\\ 750& 600& 750& 2700& 600& 750& 300& 750\\ 600& 450& 2700& 1200& 600& 450& 450& 300\end{array}$

Calculation:

Average price for the paintings are,

  $\begin{array}{l}average=\frac{300\left(3\right)+450\left(3\right)+600\left(6\right)+750\left(5\right)+1200\left(2\right)+1350+1800\left(2\right)+2700\left(2\right)}{24}\\ =\frac{900+1350+3600+3750+2400+1350+3600+2700}{24}\\ =\frac{19650}{24}\\ =819\end{array}$

Hence, the average price for painting is $\$819$.

d.

To determine

Find the number of paintings sold for at least $\$600$ and not more than $\$1200$.

Answer to Problem 6.3E

  $13$

Explanation of Solution

Given information:

The price in dollars of painting sold at an art auction,

  $\begin{array}{cccccccc}1800& 750& 600& 600& 1800& 1350& 300& 1200\\ 750& 600& 750& 2700& 600& 750& 300& 750\\ 600& 450& 2700& 1200& 600& 450& 450& 300\end{array}$

Calculation:

The number of paintings sold for at least $\$600$ and not more than $\$1200$ is.

  $13$.