Question

Part: 0 / 2

Part 1 of 2
Additional treatment CVar :
Discharged CVar :
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Calculate the coefficient of variation. Round your answers to one decimal place.
%
%
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Hospital Emergency Waiting Times The mean of the waiting times in an emergency room is 67 minutes with a standard deviation of 17.3 minutes for people
who are admitted for additional treatment. The mean waiting time for patients who are discharged after receiving treatment is 95 minutes with a standard
deviation of 9.8 minutes. Which times are more variable?

Answer 1

To determine which waiting times are more variable, we can calculate the coefficient of variation (CV) for both sets of data. The coefficient of variation is a measure of relative variability and is calculated by dividing the standard deviation by the mean and multiplying by 100 to express it as a percentage.

For the waiting times of people admitted for additional treatment:

Mean = 67 minutes

Standard deviation = 17.3 minutes

• CV = (Standard deviation / Mean) * 100
• CV = (17.3 / 67) * 100
• CV ≈ 25.8%

For the waiting times of patients discharged after receiving treatment:

Mean = 95 minutes

Standard deviation = 9.8 minutes

• CV = (Standard deviation / Mean) * 100
• CV = (9.8 / 95) * 100
• CV ≈ 10.3%

Comparing the calculated coefficients of variation, we find that the waiting times for people admitted for additional treatment have a higher coefficient of variation (25.8%) compared to the waiting times for patients discharged after receiving treatment (10.3%).

Therefore, the waiting times for people admitted for additional treatment are more variable than the waiting times for patients discharged after receiving treatment.