This determines the height and width of the graph of the normal distribution.

The height and width of the graph of the normal distribution are determined by its mean and standard deviation.

Step 1: Understand the Mean The mean, often represented by the Greek letter μ (mu), is the average of all the values in the data set. In the graph of a normal distribution, the mean is where the peak occurs.

Step 2: Understand the Standard Deviation The standard deviation, often represented by the Greek letter σ (sigma), measures the dispersion of the data set. In the graph of a normal distribution, the standard deviation determines the width of the bell curve. A smaller standard deviation results in a narrower curve, while a larger standard deviation results in a wider curve.

Step 3: Plot the Graph When you plot the graph, the mean determines the center of the graph, and the standard deviation determines the spread of the data around the mean. The height of the graph at any point is given by the probability density function of the normal distribution, which depends on the mean and standard deviation.

So, in summary, the mean and standard deviation of a data set determine the height and width of the graph of the normal distribution.