Calculate Karl – Pearson’s coefficient of skewness for the following data.
25, 15, 23, 40, 27, 25, 23, 25, 20
Show answer & explanation
Correct answer: A
Explanation
Given data:
25, 15, 23, 40, 27, 25, 23, 25, 20
Mode = 25
Mean = (25 + 15 + 23 + 40 + 27 + 25 + 23 + 25 + 20) / 9
= 223 / 9
= 24.78
Standard Deviation = √[(Σ(x − x̄)²)/9]
= √(361.56 / 9)
= 6.34
Karl Pearson's coefficient of skewness = (Mean − Mode) / Standard Deviation
= (24.78 − 25) / 6.34
= −0.03