Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Reason \to Frequency[/tex]
[tex]Congestive\ heart\ failure \to 990[/tex]
[tex]Coronary\ atherosclerosis\to 1400[/tex]
[tex]Heart\ attack \to 744[/tex]
[tex]Infant\ birth\to 3800[/tex]
Solving (a): Frequency bar graph
To do this, we simply plot the reasons (on the x-axis) against the frequency (on the y-axis).
See attachment
Solving (b): Relative frequency distribution
The relative frequency is calculated as:
[tex]RF = \frac{F}{Total}[/tex]
Where
[tex]Total = 990+1400+744+3800[/tex]
[tex]Total = 6934[/tex]
So, we have:
[tex]Congestive\ heart\ failure \to \frac{990}{6934} = 0.1427[/tex]
[tex]Coronary\ atherosclerosis\to \frac{1400}{6934} = 0.2019[/tex]
[tex]Heart\ attack \to \frac{744}{6934} = 0.1073[/tex]
[tex]Infant\ birth\to \frac{3800}{6934} = 0.5481[/tex]
So, the relative distribution is:
[tex]Reason \to Frequency \to Relative\ Frequency[/tex]
[tex]Congestive\ heart\ failure \to 990 \to 0.1427[/tex]
[tex]Coronary\ atherosclerosis\to 1400 \to 0.2019[/tex]
[tex]Heart\ attack \to 744 \to 0.1073[/tex]
[tex]Infant\ birth\to 3800 \to 0.5481[/tex]
Solving (c): Relative frequency bar graph
To do this, we simply plot the reasons (on the x-axis) against the relative frequency (on the y-axis).
See attachment
Solving (d): Relative frequency Pareto chart
First, calculate the cumulative relative frequency
This is done by adding up the previous relative frequency,
So, we have:
[tex]Reason \to Relative\ Frequency \to Cumulative[/tex]
[tex]Congestive\ heart\ failure \to 0.1427 \to 0.1427[/tex]
[tex]Coronary\ atherosclerosis \to 0.2019 \to 0.2019+0.1427=0.3446[/tex]
[tex]Heart\ attack \to 0.1073\to 0.3446+0.1073 = 0.4519[/tex]
[tex]Infant\ birth \to 0.5481 \to 0.5481+4519 =1[/tex]
So, we have:
[tex]Reason \to Relative\ Frequency \to Cumulative[/tex]
[tex]Congestive\ heart\ failure \to 0.1427 \to 0.1427[/tex]
[tex]Coronary\ atherosclerosis \to 0.2019 \to 0.3446[/tex]
[tex]Heart\ attack \to 0.1073\to 0.4519[/tex]
[tex]Infant\ birth \to 0.5481 \to 1[/tex]
Next, we simply plot the reasons (on the x-axis) against the cumulative relative frequency (on the right) and the left of the Pareto chart.
See attachment
