Question 1174732: Q(iv):
Q2 = 49.21, Q1= 37.15 and Q3=61.27 find the coefficient of skweness?
Answer by CPhill(1959)   (Show Source):
You can put this solution on YOUR website! To find the coefficient of skewness using quartiles, we use Bowley's coefficient of skewness (also known as the quartile coefficient of skewness). The formula is:
Coefficient of Skewness = (Q3 - 2 * Q2 + Q1) / (Q3 - Q1)
Where:
* Q1 is the first quartile
* Q2 is the second quartile (median)
* Q3 is the third quartile
Given:
* Q1 = 37.15
* Q2 = 49.21
* Q3 = 61.27
Let's calculate:
1. Calculate (Q3 - 2 * Q2 + Q1):
* 61.27 - 2 * 49.21 + 37.15 = 61.27 - 98.42 + 37.15 = 0
2. Calculate (Q3 - Q1):
* 61.27 - 37.15 = 24.12
3. Calculate the coefficient of skewness:
* 0 / 24.12 = 0
Therefore, the coefficient of skewness is 0.
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