For the following data set calculate the percentage of data points that fall within one standard deviation of the mean, and compare the result to the expected percentage of a normal distribution. {50,46,54,51,29,52,48,54,47,48}

First we need to find the mean and standard deviation of the given data.

The mean and standard deviation are given below:

We have:

Therefore, the percentage of values that lies within one standard deviation of the mean is:

The expected percentage of values within one standard deviation of the mean according to normal distribution is 68%.

Therefore, the observed percentage of values within one standard deviation of the mean is much higher than the expected percentage of a normal distribution.