91Ó°ÊÓ

Given data:

The following is the process for determining the frequency distribution of qualitative data:

• List the various values in the first column.
• Use tally marks to represent the number of times each value in the data set appears in the second column.
• In the third column, count the number of tally marks and enter the frequency.

The table below shows the frequency distribution:

Given data:

The relative frequency is expressed as follows:

$\text{Relative Frequency}=\frac{\text{Frequency}}{\text{NumberofObservations}}$

The frequency distribution is presented in the table below.

$\begin{array}{|ccc|}\hline \text{Class}& \text{Frequency}& \text{Relative Frequency}\\ \mathrm{Fr}& 6& \frac{6}{40}=0.15\\ \text{So}& 15& \frac{15}{40}=0.375\\ \text{Jr}& 12& \frac{12}{40}=0.3\\ \text{Sr}& 7& \frac{7}{40}=0.175\\ \text{Total}& 40& 1\\ \hline\end{array}$

Given data:

MINITAB has been used to create the pie chart.

The portion for each class in a pie chart is calculated by multiplying ${360}^o$by the appropriate relative frequencies.

The steps of drawing a pie chart are as follows:

• Navigate to Graph > Pie Chart.
• Choose the chart that counts unique data.
• Select your CLASS LEVELS.
• Go to the Labels tab.
• Navigate to the Slide Labels tab.
• Under Label pie pieces, check Category name and Percent.
• Click OK

The pie chart of the data set:

Given data:

MINITAB has been used to create the bar chart.

The steps to making a bar chart are as follows:

• Navigate to Graph > Bar Chart.
• Select Counts of unique values from the Bars to represent the menu. Click OK after selecting Simple.
• Add one column of CLASS LIMITS to Categorical variables.
• Select your chart options
• Click the Show $Y$as Percent option.
• Click OK

The figure shows the bar chart for the supplied data set.