The normal distribution is an example of

The normal distribution is an example of

• A. a histogram showing data from a sample
• B. a polygon showing data from a sample
• C. a bar graph showing data from a population
• D. a smooth curve showing data from a population

Answer: (D)

A normal distribution is a smooth, bell-shaped curve that represents how a continuous variable is distributed in the population. It’s a theoretical probability density, not a direct graph of observed counts. Histograms and frequency polygons visualize data from a sample by showing frequencies, and they approximate the population distribution as you collect more data. Bar graphs are used for categorical data, not for depicting a continuous population distribution. So the best description is a smooth curve showing data from a population.

A normal distribution is a smooth, bell-shaped curve that represents how a continuous variable is distributed in the population. It’s a theoretical probability density, not a direct graph of observed counts. Histograms and frequency polygons visualize data from a sample by showing frequencies, and they approximate the population distribution as you collect more data. Bar graphs are used for categorical data, not for depicting a continuous population distribution. So the best description is a smooth curve showing data from a population.