To start, find the difference between the mean score and the given score.
16 %
Practice makes perfect
We have been told that the scores on a test are normally distributed with a mean of 74 and a standard deviation of 8. We will find the probability that a randomly chosen junior has a score above 82.
x≥ 82
First, let's find the difference between 82 and the mean.
82- 74= 8
Then, we will divide the difference by the standard deviation 8.
8/8=1
Thus, 82 is 1 standard deviation above the mean. To find the probability of choosing a junior with a score above 82, we will shade the percentage of data which is no less than 1 standard deviation above the mean.
Finally, we can find the probability of choosing a junior who has a score above 82 by adding the probabilities of the shaded areas.
