Which distribution has high variability and a low, flat peak?

Which distribution has high variability and a low, flat peak?

• A. Platykurtotic
• B. Leptokurtotic
• C. Variance
• D. Standard Deviation

Answer: (A)

Kurtosis describes how peaked or flat a distribution is compared to a normal curve. A distribution with a peak that is flatter than normal is called platykurtic, which matches a low, flat peak. This shape indicates the data are spread out more around the center rather than concentrated in a sharp peak, which is why it’s described as flatter. In contrast, a sharp, tall peak would be leptokurtic. Variance and standard deviation measure how far data spread out overall, but they don’t describe the height of the peak or the flatness of the distribution’s shape. So the best description for a low, flat peak is platykurtic.

Kurtosis describes how peaked or flat a distribution is compared to a normal curve. A distribution with a peak that is flatter than normal is called platykurtic, which matches a low, flat peak. This shape indicates the data are spread out more around the center rather than concentrated in a sharp peak, which is why it’s described as flatter. In contrast, a sharp, tall peak would be leptokurtic. Variance and standard deviation measure how far data spread out overall, but they don’t describe the height of the peak or the flatness of the distribution’s shape. So the best description for a low, flat peak is platykurtic.