Math 207 Homework 2 Homework 2 • Due: Friday, Feb 18 at the beginning of class. Write up solutions to the following problems. Your presentation must be neat, logical, and understandable. You must show...

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all the problems are in the pdf attached


Math 207 Homework 2 Homework 2 • Due: Friday, Feb 18 at the beginning of class. Write up solutions to the following problems. Your presentation must be neat, logical, and understandable. You must show or explain all work and justify your answers with complete sentences. You are allowed to work with classmates, but each student must write their solutions separately and indicate with whom they have worked. Your submission should be stapled and without notebook fringes. (1) Consider the following set of a quantitative data: 10, 26, 31, 32, 33, 35, 35, 37, 39, 46, 55 (a) Find the median, quartiles, and IQR for this data set. (b) Compute the inner and outer fences for this data set. (c) Construct a box plot and identify any potential outliers. (d) Compute the mean and standard deviation for this data set. (e) Are any data points more than two standard deviations from the mean? More than three? (2) 2 Math 207 Homework 2 (3) (4) (5) 3 Math 207 Homework 2 (6) 4
s22207hw2-ftd1a2z1.pdf
Answered 4 days AfterFeb 14, 2022

Answer To: Math 207 Homework 2 Homework 2 • Due: Friday, Feb 18 at the beginning of class. Write up solutions...

Tanisha answered on Feb 18 2022
120 Votes
1. 10 ,26,31,32,33, 35, 35,37,39,46,55
a) Median is calculated as for total number of elements are odd it will (n+1)/2 = 6th element = 35.
Quartiles
Q1 = 10,26,31,32,33 = middle element of this
Q3=35,37,39,46,55 = middle element of this
Q2= median
Q1 = 31, Q2 =35, Q3= 39 , IQR = Q3-Q1=39-31=8
b) Inner and outer fence
IQR=8
1.5*IQR = 12.0
Inner fences = Q1-1.5*IQR=31-12=19
Outer fences = Q3+1.5*IQR=39+12=51
c) Detecting outliers : Outliers: 10 ,55 are seen as the last end points As per the boxplot we got this
d. Mean (μ): = Average of the given data set = 10 +26+31+32+33+ 35+ 35+37+39+46+55/11=34.454545454545
For standard deviation
We have formula as
σ = √(∑(x− μ)2 /n)
=so
=√( (10− 34.5)2 +(26-34.5)2 +(31-34.5)2+(32-34.5)2+(33-34.5)2 +(35-34.5)2+(35-34.5)2+(37-34.5)2+(39-34.5)2+(46-34.5)2+(55-34.5)2/ 11
Standard deviation (σ): 10.756508696545
d)
Following is the normal distribution graph taking mean and standard deviation.
No data points are...
SOLUTION.PDF
SOLUTION.PDF

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