Which term describes a distribution characterized by a flat peak and light tails?

Which term describes a distribution characterized by a flat peak and light tails?

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

Answer: (C)

The term that describes a distribution characterized by a flat peak and light tails is platykurtic. A platykurtic distribution is one where the kurtosis is less than that of a normal distribution, indicating that the data has lighter tails and a flatter peak. This suggests that the values are more evenly spread out and there are fewer extreme values or outliers compared to a normal distribution, which has heavier tails and a sharper peak. In contrast, a mesokurtic distribution has a kurtosis similar to that of a normal distribution, meaning it has a moderate peak and tails. A leptokurtic distribution has heavier tails and a sharper peak, which indicates a higher likelihood of extreme values. The term uniform typically refers to a distribution where all outcomes are equally likely, which does not describe the characteristics of a flat peak or light tails. Thus, the correct association of the term platykurtic accurately reflects the nature of such a distribution.

The term that describes a distribution characterized by a flat peak and light tails is platykurtic. A platykurtic distribution is one where the kurtosis is less than that of a normal distribution, indicating that the data has lighter tails and a flatter peak. This suggests that the values are more evenly spread out and there are fewer extreme values or outliers compared to a normal distribution, which has heavier tails and a sharper peak.

In contrast, a mesokurtic distribution has a kurtosis similar to that of a normal distribution, meaning it has a moderate peak and tails. A leptokurtic distribution has heavier tails and a sharper peak, which indicates a higher likelihood of extreme values. The term uniform typically refers to a distribution where all outcomes are equally likely, which does not describe the characteristics of a flat peak or light tails. Thus, the correct association of the term platykurtic accurately reflects the nature of such a distribution.