15 Dec 2022

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Mean, Median and Mode: Definition and Examples

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Academic level: University

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Determine the mean, median and mode 

x i = 563, 593, 606, 520, 563, 610, 577. 

Mean = Total summation of x / number of items ∑x i /N 

Sum = 563+593+606+520+563+610+577 = 4032 and N = 7 

Mean = (4032 / 7) = 576 

Median is the middle value 

Values arranged in ascending order we get 520, 563, 563, 577, 593, 606, 610 

Middle value is the fourth value 520, 563, 563, 577, 593, 606, 610 

Therefore, the median = 577. 

Mode is the most common value 

520 

563 

577 

593 

606 

610 

Mode obtained is 563 because it has a frequency of 2 while each of the other values have a frequency of 1. 

Mode for the variable inpatient complications and its percentage 

Mode – most common 

In the table, the complication with the highest frequency is AMI post admission for patients admitted with UA. Its frequency is 21 and its percentage is 8. 

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Modal distribution of inpatient complications. 

The modal distribution of the inpatient complications is bimodal. The bimodal distribution obtained from the AMI post admission for patients admitted with UA which has a frequency and percentage of 21 and 8 respectively. The second mode is the transfer to intensive care unit whose frequency is 17 and has a percentage of 6. These two stand out distinctly compared to the rest whose frequencies are 7, 6, 5 and 2. 

Three most common cardiovascular medical history event in the study and why it is clinically important. 

The most frequent is personal history of CAD (63%) followed by the history of unstable angina and previous acute MI whose percentages are 45 and 41 respectively. It is clinically significant to identify the frequency. This is because although they are the most common events, they are not at a 100% and as such they may not constantly be existent in patients who are at risk. 

Mean and median lengths of stay (LOS) 

The mean of the LOS is 5.37 while its median is 4. 

Difference between the mean and median for LOS and its indication 

The mean and median are different. The mean is greater than the median. 

Indication: This means that there are more patients with LOS days that are less than 5.37 compared to those whose days are greater than the average obtained. However, the average may have been shifted above the median because the absolute value of the days for the fewer patients with length of stay above than 5.37 may have be greater. 

Mode for arrhythmias and the second most common mode. 

In the introduction we see that the most common arrhythmias experience are the PVCs which in full are premature ventricular contractions. About 22% of the patients had greater than 50 PVCs. The second most frequent was Non-sustained ventricular tachycardia (VT). VT occurred in 15% of the patients sampled. 

Relationship between the most common arrhythmia and LOS and its significance 

In the study, the probably value obtained is p < 0.0001. This revealed that only greater than 50 PVCs per hour independently forecasted an increased length of stay. It is significant because the p-value is less than the 0.05 significant level as stated in the introduction. However, none of the arrhythmia predicted mortality. 

Independently predictive variables of the 50 PVCs per hour in this study 

The probability value obtained during the analysis of data was p = 0.004. This value is less than the significant value of 0.005. This indicates that patients of 65 years and a diagnosis of an acute myocardial infraction independently forecasted more than fifty PVCs per hour. 

Modal race and if it should be generalized to American Indians with ACS 

The modal race from Table 1 is the White race. Its frequency is 143 with a percentage of 51%. The American Indians had a frequency of 23 with a percentage of 8%. The two should not be generalized because there are not enough American Indians in the study to generalize these conclusions solely to that population. 

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StudyBounty. (2023, September 17). Mean, Median and Mode: Definition and Examples.
https://studybounty.com/mean-median-and-mode-definition-and-examples-coursework

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