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Course Home Support Portal ation Assessment Content Assignments The marks for Dr. Smiths?s third-year classes in zoology are
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Answer #1

1)

for class A

mean =    ΣX/n =    70.882

Median=0.5(n+1)th value =    9   th value of sorted data
=   71.0000  

mode=   71  

-------------------------------

for class B

mean =    ΣX/n =    64.389

Median=0.5(n+1)th value =    9.5   th value of sorted data
=   71.0000  

mode=   80

2)

for class A

X (X - X̄)²
71 0.014
82 123.602
55 252.249
76 26.190
66 23.837
71 0.014
90 365.484
84 172.1
95 581.661
64 47.367
71 0.014
70 0.779
73 4.484
45 669.90
73 4.484
51 395.308
68 8.308
X (X - X̄)²
total sum 1205 2675.765
n 17 17

sample variance =    Σ(X - X̄)²/(n-1)=   167.2353
      
sample std dev =   √ [ Σ(X - X̄)²/(n-1)] =   12.9319

--------------------------

for class B

X (X - X̄)²
54 107.929
80 243.707
12 2744.596
61 11.485
73 74.151
69 21.262
92 762.373
81 275.9
80 243.707
61 11.485
75 112.596
74 92.373
15 2439.262
44 415.71
91 708.151
63 1.929
50 207.040
84 384.596
X (X - X̄)²
total sum 1159 8858.278
n 18 18

sample variance =    Σ(X - X̄)²/(n-1)=   521.0752
      
sample std dev =   √ [ Σ(X - X̄)²/(n-1)] =   22.8271

3)

for class A

quartile , Q1 = 0.25(n+1)th value=   4.5   th value of sorted data
=   65  
      
Quartile , Q3 = 0.75(n+1)th value=   13.5   th value of sorted data
=   79  

maximum =    95
minimum=   45

five number summary for class A is 45,65,71,79,95

------------------------

for class B

Median=0.5(n+1)th value =    9.5   th value of sorted data
=   71.0000  
      
quartile , Q1 = 0.25(n+1)th value=   4.75   th value of sorted data
=   53  
      
Quartile , Q3 = 0.75(n+1)th value=   14.25   th value of sorted data
=   80.25  
      
IQR = Q3-Q1 =    27.25  
five number summary is 15,53,71,80.25,92

---------------------------------------------------------------------------------------------------------------------------------------------------------

4)

Box plot class Alass B 90 80 70 60 50 40 30 20 10 0

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