The curves with greater peakedness than the normal curve are called ___________.Select one:a.Platykurticb.Mesokurticc.Leptolurticd.Nanokurtic
Question
The curves with greater peakedness than the normal curve are called ___________.
Select one:
- a. Platykurtic
- b. Mesokurtic
- c. Leptokurtic
- d. Nanokurtic
Solution
Break Down the Problem
- We need to identify the correct term that refers to curves with greater peakedness than the normal curve.
- We will analyze the provided options to determine which one fits the description of having greater peakedness.
Relevant Concepts
- Understanding various distribution characteristics:
- Kurtosis measures the tails' heaviness in a distribution.
- Leptokurtic distribution has positive kurtosis, indicating sharper peaks.
- Platykurtic distribution has negative kurtosis, indicating flatter peaks.
- Mesokurtic distribution refers to the normal curve, which serves as a baseline.
- Nanokurtic is not a standard term in statistics.
Analysis and Detail
- Among the options:
- a. Platykurtic: Indicates a distribution with flat peaks (less peaked than normal).
- b. Mesokurtic: Refers to a normal distribution, which represents standard peakedness.
- c. Leptokurtic: Indicates a distribution with greater peakedness and heavy tails (more peaked than normal).
- d. Nanokurtic: Not a recognized term related to kurtosis in statistical terms.
Verify and Summarize
- Based on the analysis, the correct answer refers to the type of distribution that has a sharper peak than a normal distribution, which is "Leptokurtic."
Final Answer
The correct answer is c. Leptokurtic.
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