Listed below are measured amounts of caffeine​ (mg per 12oz of​drink) obtained in one can from each of 14 brands. Find the​ range,variance, and standard deviation for the given sample data. Includeappropriate units in the results. Are the statistics representativeof the population of all cans of the same 14 brands​ consumed?
49
40
34
30
0
34
33
59
56
39
46
53
0
0
The range of the sample data is
nothing
â–¼
brands squared .brands2.
mg per 12 oz of drink.mg per 12oz of drink.
left parenthesis mg per 12 oz of drink right parenthesis squared.(mg per 12oz of drink)2.
brands.brands.
​(Round to one decimal place as​ needed.)
The standard deviation of the sample data is
nothing
â–¼
mg per 12 oz of drink.mg per 12oz of drink.
left parenthesis mg per 12 oz of drink right parenthesis squared.(mg per 12oz of drink)2.
brands squared .brands2.
brands.brands.
​(Round to one decimal place as​ needed.)
The variance of the sample data is
nothing
â–¼
brands.brands.
mg per 12 oz of drink.mg per 12oz of drink.
left parenthesis mg per 12 oz of drink right parenthesis squared.(mg per 12oz of drink)2.
brands squared .brands2.
​(Round to one decimal place as​ needed.)
Are the statistics representative of the population of all cansof the same 14 brands​ consumed?
A.
The statistics are likely representative of the population ofall cans of these brands that are consumed because the results fromany sample of the 14 brands will be typical of the population.
B.
The statistics are not necessarily representative of thepopulation of all cans of these brands that are consumed becauseeach brand is weighted equally in the calculations. It is unlikelythat each of the 14 brands of soda are consumed equally.
C.
The statistics are not necessarily representative of thepopulation of all cans of these brands that are consumed because itis necessary to have at least 5 of each brand in order to get asample that is representative of the population.
D.
The statistics are likely representative of the population ofall cans of these brands that are consumed because each brand isbeing represented in the sample.
Click to select your answer(s).
