Measure of dispersion
Class 11
Practice Questions
Q 1 The number of goals scored by two teams in a football session were as under
No of goals scored
|
No of matches (Team A )
|
No of matches ( Team B)
|
0
|
15
|
20
|
1
|
10
|
10
|
2
|
7
|
5
|
3
|
5
|
4
|
4
|
3
|
2
|
5
|
2
|
1
|
Which team is more consistent
Q 2 Calculate standard deviation by step deviation method
Class Interval
|
Frequency
|
0-10
|
2
|
10-20
|
3
|
20-30
|
4
|
30-40
|
1
|
Q 3 Calculate quartile deviation and mean deviation from median
Class Interval
|
Frequency
|
0-5
|
4
|
5-10
|
7
|
10-15
|
8
|
15-20
|
2
|
20-25
|
6
|
25-30
|
3
|
Q 4 Calculate mean deviation from mean
X
|
5
|
8
|
11
|
12
|
14
|
Q 5 Calculate Quatile when QD=10 and coefficient of quartile deviation =0.5
Answers
Ans 1 σ of A =4.43
σ of B=6.48
C.V of A=63.29
C.V of B = 92.57
____________________________________________________________________________
Ans 2 = 9.165
____________________________________________________________________________
Ans 3 =Q 1=7.5
Q 3 = 21.25
Q.D = 6.87
Mean =12.5
Coef of mean deviation = 6.33
Ans 4 Mean = 10
Mean deviation =2.8
____________________________________________________________________________
Ans 5 Q1 =10
Q3 = 30
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