Asked by Jessica Shatteen on Jun 06, 2024
Verified
A sample of 13 college professors has a mean age of 30 years and a standard deviation of 5 years.Suppose that the sample is enlarged to 15 college professors,by including two additional professors that are each 30 years old.Will the standard deviation increase,decrease,or stay the same,and why?
Standard Deviation
A quantification tool that assesses how much data values diverge or spread out from their mean.
Mean Age
The average age of a group of people, calculated by summing their ages and dividing by the number of individuals.
College Professors
Academic professionals who teach students in colleges and universities and often engage in research.
- Understand the impact of sample size changes on descriptive statistics.
Verified Answer
CR
CM Rana Ali AkbarJun 09, 2024
Final Answer :
The new standard deviation will be smaller than the original one because the two new professors' ages don't deviate from the mean,but they add two more observations to the data set,bringing down the average deviation from the mean.The new standard deviation actually is s = 4.643.
Learning Objectives
- Understand the impact of sample size changes on descriptive statistics.
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