From the data given below state which group is more variable A or | Filo
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From the data given below state which group is more variable or  

Marks10-2020-3030-4040-5050-6060-7070-80
Group A917323340109
Group B1020302543157

  1. B
Correct Answer: Option(a)
Solution:
 Class      
 10-20 9 15 -3 9 -27 81
20-30 17 25 -2 4 -34 68
 30-40 32 35 -1 1 -32 32
 40-5033  45 0 0 0 0
 50-60 4055  1 40 40
60-70  10 65 2 4 20 40
70-80  9 75 3 9 27 81
 Total 150    -6 342
Here
Let assumed mean
Mean

Variance



Standard deviation  

Group B:
 Class      
 10-20 10 15 -3 9 -30 90
20-30 20 25 -2 4 -40 80
 30-40 30 35 -1 1 -30 30
 40-5025 45 0 0 0 0
 50-60 4355  1 43 43
60-70  15 65 2 4 30 60
70-80  7 75 3 9 2163
 Total 150    -6 366
Here
Let assumed mean
Mean

Variance



Standard deviation  

Since, the mean of both the groups is same the group with greater standard deviation will be more variable. 
Thus group has more variability in the marks.
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