Question

Distributions with positive kurtosis larger than that of a normal distribution are

• A. Mesokurtic
• B. Leptokurtic
• C. Platykurtic
• D. Asymptokurtic

Hint:

To remember:
- Lepto = Leaping up (tall/sharp peak).
- Platy = Plate-like (flat peak).
- Meso = Middle (normal).

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
Kurtosis measures the "peakedness" or flatness of a probability distribution curve relative to a normal distribution curve.

Step 2: Detailed Explanation:
- Mesokurtic: Having a kurtosis equal to that of a normal distribution (excess kurtosis = 0).
- Leptokurtic: Having a positive excess kurtosis (\(>0\)). The curve is more sharply peaked and has heavier tails than a normal distribution.
- Platykurtic: Having a negative excess kurtosis (\(<0\)). The curve is flatter with a broader peak.

Step 3: Final Answer:
A distribution with positive kurtosis larger than normal is Leptokurtic, which is option (B).