Question

3. Assume you have a set of data that does not have any low outliers nor any high outliers. Fill in the blanks: a. The lower whisker starts at the and goes to the b. The lower line of the Box is the c. The middle line of the Box is the d. The upper line of the Box is the e. The upper whisker starts at the and goes to the f. The distance from the Minimum to the lower line of the Box represents the of the data set. g. The distance from the lower line of the Box to the upper line of the Box represents the of the data set h. The distance from the upper line of the Box to the Maximum represents the of the data set. 4. Assume you have a set of data that does have a low outlier and a high outlier. Fill in the blanks: a. The lower whisker starts at the and goes to the b. The upper whisker starts at the and goes to the

Answer 1

5)

a)

Median=0.5(n+1)th value =    20.5   th value of sorted data
=   17.000  
      
quartile , Q1 = 0.25(n+1)th value=   10.25   th value of sorted data
=   11  
      
Quartile , Q3 = 0.75(n+1)th value=   30.75   th value of sorted data
=   24  
minimum=   0

five number summary is (0,11,17,24,38)

b)

IQR = Q3-Q1 =    13
  
1.5IQR =    19.5
  
lower bound=Q1-1.5IQR=   -8.5
  
upper bound=Q3+1.5IQR=   43.5
  
outlier =values outside lower bound and upper bound  
count below lower bound=   0
count above upper bound=   4
total outlier =    4
outliers are 47,49,50,64

c)

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