Question
Download Solution PDFChoose the correct cod for the following statements being correct or incorrect.
Statement I: If the value of \(\beta_2, i.e \frac{\mu_4}{\sigma_4}\), of a distribution gives the value more than 3, its curve is platykurtic.
Statement II: In a moderately asymmetrical distribution, the standard deviation is 1.25 times of mean deviation.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFStatement I: If the value of \(\beta_2, i.e \frac{\mu_4}{\sigma_4}\), of a distribution gives the value more than 3, its curve is platykurtic.
Explanation:
- Leptokurtic Curve - Value of β2 is greater than 3.
- Mesokurtic Curve - Value of β2 is equal to 3.
- Platykurtic Curve - Value of β2 is less than 3.
Thus, Statement I is incorrect.
Statement II: In a moderately asymmetrical distribution, the standard deviation is 1.25 times of mean deviation.
Explanation:
In a moderately asymmetrical distribution (variable occurs at the irregular frequency), the standard deviation is 1.25 times of mean deviation.
This statement is correct.
Therefore, Statement II is correct, but I is incorrect.
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