Describe the relationship between the mean, median, and mode in a normal distribution.

In a normal distribution, the mean, median, and mode are all equal.

How does the standard deviation affect the shape of a normal distribution curve?

A larger standard deviation results in a wider, flatter curve, while a smaller standard deviation results in a narrower, taller curve.

The range of values within one standard deviation of the mean is 45 to 55.

Symmetric to the mean means that the distribution is balanced around the mean, with the left and right sides being mirror images of each other.

I can describe the characteristics of a normal distribution and its relationship to the bell curve.

1
In a normal distribution, the mean, median, and mode are all equal and located at the highest point of the curve.
2
According to the empirical rule, approximately 68% of the data falls within one standard deviation of the mean, and approximately 95% falls within two standard deviations.
3
In a normal distribution, the mean determines the center of the distribution, while the standard deviation controls the width.