Question

Which of the following refers to the peakedness or flatness of a frequency distribution as compared to the normal distribution?

• A. Skewness
• B. Kurtosis
• C. Variability
• D. Probability

Hint:

Remember: Skewness = Lack of symmetry (left or right lean); Kurtosis = Height of peak (Lepto = tall/skinny, Platy = flat/broad like a plate).

Answer 1

The Correct Option is B

Step 1: Understanding the Question:
The question asks to identify the statistical term that describes the peakedness or flatness of a frequency distribution curve relative to a standard normal curve.

Step 2: Detailed Explanation:

• Kurtosis is a statistical measure used to describe the shape of a frequency distribution curve, specifically its peakedness or flatness.

• A distribution with a high peak is called leptokurtic (positive kurtosis), indicating that scores are highly clustered around the center with heavy tails.

• A distribution that is relatively flat is called platykurtic (negative kurtosis), indicating a broad, spread-out peak.

• A distribution shaped similarly to the normal curve is called mesokurtic (zero excess kurtosis).

• Skewness refers to the asymmetry of a distribution, indicating whether scores trail off more to the left (negative skew) or to the right (positive skew).

• Variability describes the dispersion of scores but does not specifically refer to the geometric peakedness or flatness of the distribution curve.

• Probability represents the likelihood of event occurrences, which is not a description of a distribution's physical shape.

Step 3: Final Answer:
The term that refers to the peakedness or flatness of a distribution curve is Kurtosis.