Which distribution is symmetrical and bell-shaped?

Prepare for the Barnard Statistics Concepts Test. Utilize flashcards and multiple-choice questions with explanations. Accelerate your stats knowledge!

Multiple Choice

Which distribution is symmetrical and bell-shaped?

Explanation:
A distribution that is symmetric around its center and has the classic bell shape is the normal distribution. The normal distribution, or Gaussian curve, is centered at the mean and mirrors itself on both sides, with a single peak at that center and tails that extend indefinitely. Its shape is determined by the mean and the spread given by the standard deviation, which controls how wide or narrow the bell is. The other options aren’t distribution shapes: probability is a general idea, the unit normal table is a lookup tool for standard normal probabilities, and sampling error is an error term that arises when estimating a population from a sample. So the distribution that fits the description is the normal distribution.

A distribution that is symmetric around its center and has the classic bell shape is the normal distribution. The normal distribution, or Gaussian curve, is centered at the mean and mirrors itself on both sides, with a single peak at that center and tails that extend indefinitely. Its shape is determined by the mean and the spread given by the standard deviation, which controls how wide or narrow the bell is. The other options aren’t distribution shapes: probability is a general idea, the unit normal table is a lookup tool for standard normal probabilities, and sampling error is an error term that arises when estimating a population from a sample. So the distribution that fits the description is the normal distribution.

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