Answer :
Final answer:
The range, variance, and standard deviation for the given sample data of caffeine contents (mg per 12oz drink) are calculated using the respective mathematical formulas. These statistics represent the sample and provide an estimate for the population.
Explanation:
To solve this question, we need to calculate the range, variance, and standard deviation of the caffeine contents (mg per 12oz drink) given in the question. The range is the difference between the highest and the lowest measurement in the data set. The variance calculates how much the measurements in the data set are spread out from their mean. Standard deviation is simply the square root of the variance.
Given: 35, 47, 42, 55, 0, 35, 40, 43, 47, 52, 58, 49, 0, 0
The range: 58 (highest) - 0 (lowest) = 58
The variance and standard deviation require more complex calculations.
The mean of the data is calculated as the sum of all values divided by the number of values.
The variance is calculated as: [sum of(each measurement - mean)^2] / (number of measurements - 1)
And the square root of the variance will give you the standard deviation.
Since these statistics are derived from a sample of the population (14 brands), rather than the entire population, they are representative of the sample and provide an estimate only. The statistics may not accurately represent the caffeine contents of all cans of the same 14 brands if new data were to be collected.
Learn more about Statistics here:
https://brainly.com/question/31538429
#SPJ11
