Which distribution has a low variability and a high peak?

Which distribution has a low variability and a high peak?

• A. Leptokurtotic
• B. Platykurtotic
• C. Variability
• D. Z-score

Answer: (A)

Peakedness and spread go hand in hand when thinking about distribution shapes. A leptokurtic distribution has a sharper, taller peak than a normal curve, meaning data are more tightly clustered around the mean. This indicates low variability near the center, so you see that high peak. The idea is that most observations sit close to the mean, producing that pronounced center. The other terms don’t describe this combination: a platykurtic distribution is flatter and more spread out, and variability or a Z-score aren’t distribution shapes themselves.

Peakedness and spread go hand in hand when thinking about distribution shapes. A leptokurtic distribution has a sharper, taller peak than a normal curve, meaning data are more tightly clustered around the mean. This indicates low variability near the center, so you see that high peak. The idea is that most observations sit close to the mean, producing that pronounced center. The other terms don’t describe this combination: a platykurtic distribution is flatter and more spread out, and variability or a Z-score aren’t distribution shapes themselves.