Question

Use single-value grouping.

Short answer

a). The frequency distribution,

b). Relative frequency,

c). Frequency histogram,

d). Relative frequency histogram,

Step-by-step solution

Part (a) Step 1: Given Information

Given data:

Part (a) Step 2: Explanation

MINITAB is used to generate the frequency distribution.

The following is the process for obtaining the frequency distribution:

• Select Stat > Tables > Tally Individual Variables from the menu bar.
• In Variables, insert the DATA column.
• Select Counts from the Display menu.
• Click OK

The output of MINITAB is displayed below.

Part (b) Step 1: Given Information

Given data:

Part (b) Step 2: Explanation

MINITAB is used to obtain the relative frequency distribution, which has the following expression: The following is the process for obtaining the relative frequency distribution:

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

• Select Stat > Tables > Tally Individual Variables from the menu bar.
• In Variables, insert the DATA column.
• Look under Display for Percents.
• Click OK

The output of MINITAB is displayed below.

Part (c) Step 1: Given Information

Given data:

Part (c) Step 2: Explanation

MINITAB is used to generate the frequency histogram.

The following is the technique for obtaining a frequency histogram:

• Navigate to Graph>Histogram.
• Click OK after selecting Simple.
• Click OK after entering the matching column of DATA in Graph variables.

The output of MINITAB is displayed below.

Part (d) Step 1: Given Information

Given data:

Part (d)  Step 2: Explanation

MINITAB is used to generate the relative frequency histogram.

The following is the technique for obtaining a frequency histogram:

• Navigate to Graph>Histogram.
• Click OK after selecting Simple.
• In the Graph variables section, enter the corresponding DATA column.
• Go to Vertical Axis and select TYPE TAB.
• Choose Percentage
• Click OK

The output of MINITAB is displayed below.