Please show work even though it is multiple choice The ages (in years) of two gr
ID: 3149515 • Letter: P
Question
Please show work even though it is multiple choice
The ages (in years) of two groups of workers are shown below:
Which of the following statements is true regarding the ages of workers? (For the variance, you may use either the sample variance or the population variance.)
Their ranges are the same, but Group B has a smaller variance than Group A.
Group A has a wider range, but a smaller variance than Group B.
Their ranges are the same, but Group A has a smaller variance than Group B.
Their ranges and variances are the same.
Group B has a wider range, but a smaller variance than Group A.
Group A: 17 22 20 18 23 Group B: 30 29 35 34 32Explanation / Answer
Correct Answer: Option (e) Their ranges and variances are the same.
Since
Descriptive Statistics: Group A:, Group B:
Total Sum of
Variable Count Mean StDev Variance Sum Squares Minimum Maximum
Group A: 5 20.00 2.55 6.50 100.00 2026.00 17.00 23.00
Group B: 5 32.00 2.55 6.50 160.00 5146.00 29.00 35.00
Variable Range
Group A: 6.00
Group B: 6.00