To start solving, find the difference between the mean of the data set and the given interval.
50 %
Practice makes perfect
We know that the set of data is normally distributed with a mean of 50 and a standard deviation of 8. We will find the percent of data that is less than 50.
x ≤ 50
First, let's find the difference between 50 and the mean 50.
50- 50= 0
Then, we will divide the difference by the standard deviation 8.
0/8=
Thus, 50 is standard deviations from the mean and equal to the mean. To find the percent, we will shade the percent of data which is no more than the mean.
Finally, we can find the percent of the data by adding the percents of the shaded areas.
