To start, find the difference between the mean of the data set and the upper bound of the given interval.
84 %
Practice makes perfect
We know that the set of data is normally distributed with a mean of 100 and a standard deviation of 10. We will find the probability of choosing a value that is at most 110.
x≤ 110
First, let's find the difference between 110 and the mean 100.
110- 100= 10
Then, we will divide the difference by the standard deviation 10.
10/10=1
Thus, 110 is 1 standard deviation above the mean. To find the probability, we will shade the percent of data which is no more than 1 standard deviation above the mean.
Finally, we can find the percent of the data by adding the percents of the shaded areas.
