Math 1280 Unit 4 Assignment

Written Assignment.
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MATH 1280
Unit 4.
Period of: 22 February 2018
The University of the People (UoPeople), AY-2017-2018. Hello Peers, Readers, and Assessors of this Written Assignment Documentation (WAD)
For this tough and plenty assignment, I will be using this WAD to present my solution in a systematic and demonstrative approach. As recommended by the given instruction, each problem (paraphrased) will be followed by their respective answers. Some of the solutions may be supported with graphics. Each solution will entail a short description of how I arrived at my answers.
Required data for Task 1 to 8
Data: 7.2, 1.2, 1.8, 2.8, 18, -1.9, -0.1, -1.5, 13.0, 3.2, -1.1, 7.0, 0.5, 3.9, 2.1, 4.1, 6.5
Task 1
What is the median

Solution to Task 2
The answer is True.
A short description of solution 2: I illustrated this in the solution 1. There is no better way to find the median manually without re-arranging the data in ascending order
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Task 3
What is the interquartile range of the data?
Solution to Task 3
The interquartile range is 6
A short description of solution 3: what I did, manually, was that I found the middle location of all data in the lower half of the data leftward of the median (2.8) to get the first quartile (Q1). Then I find the middle location of all data in the upper half of the data rightward of the median (2.8) to get the third quartile (Q3). Then the difference between Q3 and Q1 is the interquartile range, the below-depicted image will demonstrate my approach

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Task 4
What is the formula for calculating the interquartile range?
Solution to Task 4
The formula is IQR = Q3 – Q1
A short description of solution 4: According to Yakir(2011), “The inter-quartile range is the distance between the third Quartile (Q3) and the first quartile (Q1), i.e., IQR = Q3 - Q1” (p.

Solution to Task 20
The median is 4.473 to 3-decimal places otherwise 4.472685
A short description of solution 20. Although the answer is obvious from the previously shown image there are still other ways to get the median. An example is illustrated below. …………………………………………………
Task 21
What is the variance of the time column in the pop.csv file?
Solution to Task 21
The variance is 54.916 to 3-decimal places otherwise 54.91635
A short description of solution 21. I made use of the var function as shown below

………………………………………………… That is it!
Many regards
☺☺☺

References
Petal. (n.d.). Dictionary.com Unabridged. Retrieved February 12, 2018, from Dictionary.com website http://www.dictionary.com/browse/petal
Sepal. (n.d.). Dictionary.com Unabridged. Retrieved February 12, 2018, from Dictionary.com website http://www.dictionary.com/browse/sepal
Yakir, B. (2011). “Introduction to Statistical Thinking” (With R, Without Calculus). Jerusalem, IL: The Hebrew University of Jerusalem, Department of Statistics, Retrieved from