Normal Distributions. In Exercises 9 and 10, using a loose interpretation of the criteria for determining whether a frequency distribution is approximately a normal distribution, determine whether the given frequency distribution is approximately a normal distribution. Give a brief explanation.

Best Actors Refer to the frequency distribution from Exercise 6

Data are given on the ages of the best actors when they won the Oscar.

A frequency distribution is considered to follow the normal distribution if the frequencies gradually increase from a small value, achieve a maximum value, and then the frequencies gradually decline.

Also, the frequencies on either side of the peak value should appear to be symmetric.

Here, the following frequency distribution is considered:

It can be observed that the frequencies start from a low value, reach the highest value of 36,and then continue to decrease eventually.

Also, the gradual rise of values before the maximum value and the gradual decline of the values after the maximum value appear to be symmetric.

Therefore, the frequency distribution of the ages of the best actors is normally distributed.