By using the above data compute the quartile coefficient of skewness
Quartile coefficient of skewness = (Q3 + Q1 - 2Q2)/(Q3 + Q1)
The position of Q1 lies on = (610 + 1)/4
= 152.75
∴ Actual value Q1 =55. 5 + {(152.75 - 94)/97} * 5 = 58.53
The position of Q3 lies on = 3{(610 + 1)/4}
= 485.25
∴ Actual value Q3 =70.55 + {(458.25 - 403)/83} * 5 = 73.83 × 5
Q2 position: that is 2{(610 + 1)/4} = 305.5
Actual Q2 value
Conclusion
Similarly as above when the Pearsonian coefficient was utilized