Answered: You will be comparing two sets of data…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.4: Fractional Expressions

Problem 66E

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Question

You will be comparing two sets of data for this assignment.
1. Determine the average number of toilet paper rolls* for Fall 2022 biochemistry and genetics students (individually) and calculate the standard deviation of each using the equation. Please be sure to show your work. I know that you can easily use tools like Microsoft Excel to calculate standard deviation, but I would like to see you complete the work by hand so that you get a sense of the role of each component of the equation. Ignore students that did not provide answers (don't use those students in the mean or N value calculations).
2. Please answer the following questions when you submit your data. Which group had a higher mean number of rolls of toilet paper? Which value had the most variability? Referring to the equation, how could you decrease the amount of variability in the mean? Did you find the variation surprising or unexpected?

The two sets of data and the standard deviation formula pictures are attached
*Please note that a few of the values have been modified to insure anonymity.

CHE*220 Biochemistry Students
Student
# of Rolls
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
5
20
6
15
6
15
18
5.5
12
12
20
6
8
148
20
25
50
45
8
17
10
8
5
15
BIO*263 Genetics Students
Student
# of Rolls
1
2
3
4
5
6
7
12
2
5
7
16
13
24

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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