To start solving, find the difference between the mean of the data set and the given interval.
97.5 %
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 percentage of the data that is greater than 34.
x ≥ 34
First, let's find the difference between 34 and the mean 50.
34- 50= - 16
Then, we will divide the difference by the standard deviation, 8.
- 16/8=- 2
Thus, 34 is 2 standard deviations below the mean. To find the percent, we will shade the percent of data which is at most 2 standard deviations below the mean.
Finally, we can find the percent of the data by adding the percents of the shaded areas.
