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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
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Solution

Break Down the Problem

  1. We need to identify the correct term that refers to curves with greater peakedness than the normal curve.
  2. We will analyze the provided options to determine which one fits the description of having greater peakedness.

Relevant Concepts

  1. 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

  1. 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

  1. 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.

This problem has been solved

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