Question:
Which of the following is correct?
Which of the following is correct?
Options:
- a) V ariance (X) > V ariance (Y)
- b) V ariance (X) < V ariance (Y)
- c) V ariance (X) = V ariance (Y)
- d) Cannot be determined from the given data
- a) V ariance (X) > V ariance (Y)
- b) V ariance (X) < V ariance (Y)
- c) V ariance (X) = V ariance (Y)
- d) Cannot be determined from the given data
correct answer : b)
Explanation:
V ariance of X = ΣΣX
N
X2
–
N
2
= 900 200
50
2
50 –
= 18 – 16 = 2
V ariance of Y = ΣΣY
N
Y2
–
N
2
= 1400 250
50
2
50 –
= 28 – 25 = 3
\ V ariance (X) < V ariance (Y)
V ariance of X = ΣΣX
N
X2
–
N
2
= 900 200
50
2
50 –
= 18 – 16 = 2
V ariance of Y = ΣΣY
N
Y2
–
N
2
= 1400 250
50
2
50 –
= 28 – 25 = 3
\ V ariance (X) < V ariance (Y)