Answered: For context, doses of caffeine over 25…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.4: Discrete Random Variables; Applications To Decision Making

Problem 22E

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Question

For context, doses of caffeine over 25 mg are enough to increase
anxiety in some people, and doses over 300 to 360 mg are
enough to significantly increase heart rate in most people. A can
of Red Bull contains 80mg of caffeine. (using R- Studio
a) What is the mean amount of caffeine in 16 oz. coffees?
b) What is the median?
c) What is the variance?
d) What is the standard deviation?
e) What is the coefficient of variation?
f) What is the IRQ?

Transcribed Image Text:A 1 brand B C caffeine_mg_16oz 164.7 2 Big Bean re 3 Big Bean B 147.6 4 Big Bean O 186 5 Big Bean F 179.8 6 Big Bean E 157.1 7 Big Bean It 171.8 8 Big Bean C 245.1 9 Big Bean K 204.9 10 Big Bean S 168.5 11 Hampden 172.7 12 Starbucks 259.3 13 Royal Farm 225.7 14 Dunkin' Do 143.4 15 Einstein Br 206.3 16

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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