Question

Consider the following data set giving the pulse rates (in beats per minute) of a random sample of ten students enrolled in a Statistics class

76 60 60 81 72 80 68 73 80 60

Find the following values for the given sample data. You may use a calculator.

a. Mean __________

b. Median __________

c. Mode __________

d. Inter Quartile Range__________

e. Standard deviation __________

f. Outliers __________

Answer 1

a)

mean =    ΣX/n =    710.000   /   10   =   71.0000

b)

Median=0.5(n+1)th value =    5.5th   value of sorted data
=   72.500  

c)

mode= highest frequency data =    60

d)

quartile , Q1 = 0.25(n+1)th value=   2.75th
=   60
  
Quartile , Q3 = 0.75(n+1)th value=   8.25th
=   80
  
IQR = Q3-Q1 =    20

e)

sample std dev =   √ [ Σ(X - X̄)²/(n-1)] =   √   (664/9)   =       8.5894

f)

1.5IQR =    30
  
lower bound=Q1-1.5IQR=   30
  
upper bound=Q3+1.5IQR=   110
  
outlier =values outside lower bound and upper bound  
total outlier below lower bound=   0
total outlier above upper bound=   0
total outlier =    0

THANKS

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