Step 1

Solution:

a) The frequency is the number of times that the value occurs in the data set.

The relative frequency is the frequency divided by the total frequency.

\[\begin{array}{|c|c|}\hline \text{Value} & \text{Frequency} & & \text{Relative frequency} & & \\ \hline \text{Brown} & 286 & & \frac{286}{592} & = & 0.4831 \\ \hline \text{Blonde} & 127 & & \frac{127}{592} & = & 0.2145 \\ \hline \text{Red} & 71 & & \frac{71}{592} & = & 0.1199 \\ \hline \text{Black} & 108 & & \frac{108}{592} & = & 0.1824 \\ \hline \text{Total} & 592 & & & & 1 \\ \hline \end{array}\]

Step 2

b) Pie chart

Draw a circle

The slice size (central angle of the circle) is the product of 360 degrees and the percent of values in the category.

Draw the slices for each category.

c) Bar chart

The width of the bars has to be the same and the height has to be equal to the frequency.

Step 4

d) The frequency is the number of times that the value occurs in the data set.

The relative frequaency is the frequency divided by the total frequency.

\[\begin{array}{|c|c|}\hline \text{Value} & \text{Frequency} & & \text{Relative frequency} & & \\ \hline \text{Brown} & 220 & & \frac{220}{592} & = & 0.3716 \\ \hline \text{Blonde} & 64 & & \frac{64}{592} & = & 0.1081 \\ \hline \text{Red} & 93 & & \frac{93}{592} & = & 0.1571 \\ \hline \text{Black} & 215 & & \frac{215}{592} & = & 0.3632 \\ \hline \text{Total} & 592 & & & & 1 \\ \hline \end{array}\]

Step 5

Pie chart

Draw a circle

The slice size (central angle of the circle) is the product of 360 degrees and the percent of values in the category.

Draw the slices for each category.

Step 6

Bar chart

The width of the bars has to be the same and the height has to be equal to the frequency.