Final answer:
A normal curve and a frequency distribution are related when the data follows a normal distribution. The center of the curve represents the mean of the data, while the spread represents the standard deviation.
Step-by-step explanation:
A normal curve and a frequency distribution are related in that a normal curve can be used to represent a frequency distribution when the data follows a normal distribution. A frequency distribution is a table or graph that shows the number of times a value occurs in a data set. On the other hand, a normal curve is a continuous probability distribution that is symmetric and bell-shaped.
When the data in a frequency distribution follows a normal distribution, the frequency distribution can be represented by a normal curve. The center of the curve represents the mean of the data, while the spread of the curve represents the standard deviation.
For example, if we have a frequency distribution of heights and the data follows a normal distribution, we can represent the frequency distribution with a normal curve, where the peak of the curve represents the most common height and the curve gets smaller as the height deviates from the mean.