Question

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. include appropriate units in the results. are the statistics representative of the population of all cans of the same 14 brands consumed?
32 41 58 50 0 35 51 39 60 56 50 46 0 0
the range of the sample data is
(round to one decimal place as needed.)

Explanation:

Step1: Find the maximum and minimum values

The given data set is \(32, 41, 58, 50, 0, 35, 51, 39, 60, 56, 50, 46, 0, 0\).
The maximum value \(x_{max}=60\) and the minimum value \(x_{min}=0\).

Step2: Calculate the range

The formula for the range \(R\) of a data - set is \(R=x_{max}-x_{min}\).
Substitute \(x_{max} = 60\) and \(x_{min}=0\) into the formula: \(R=60 - 0\).

Answer:

The range of the sample data is \(60.0\) mg.