Question

for a positively skewed distribution which of the ffollowing inequality holds?
1. Q1 + Q3 > 2 Q2
2. Q1 + Q2 > 2 Q2
3. Q1 + Q3 > Q2
4. Q3 + Q2 > Q3​

Answer 1

Given,

Q

3

−Q

2

=40

Q

2

−Q

1

=60

Bowley's coefficient of skewness (Sk

b

)=

(Q

3

−Q

2

)+(Q

2

−Q

1

)

(Q

3

−Q

2

)−(Q

2

−Q

1

)

⇒Sk

b

=

40+60

40−60

⇒Sk

b

=

100

−20

⇒Sk

b

=−0.2