Question

In 2013, the average age of students at UTC was 22 with a standard deviation of 3.96. In 2014, the average age was 24 with a standard deviation of 4.08. In which year do the ages show a more dispersed distribution? Show your complete work and support your answer.

Answer 1

2014

Step-by-step explanation:

Standard deviation is a statistical concept that aims to explain the dispersion of the data in relation to the expected value (mean). Thus, the higher the standard deviation, the more dispersed the data will be in relation to the mean. Therefore, if in 2013 the standard deviation was 3.96 and in 2014 the standard deviation was 4.08, this means that in 2013 the data points tend to be closer to the average or expected value than in 2014. Thus, in 2014 the random distribution is more dispersed.