The value of the mean is a 33.75 in the normal distribution.
According to the statement
We have to find that the students' favorite color was red.
So, For this purpose, we know that the
A mean is simply defined as the average of the given set of numbers.
From the given information:
On a test that has a normal distribution, a score of 45 falls two standard deviations above the mean, and a score of 30 falls three standard deviations below the mean.
Then
The interval for score = 45- 30= 15
If we divide it by the 4 standard deviations; the interval result into
= 15/4
= 3.75
Then, the standard deviation is 3.75, and
The mean = 30+ 3.75
The mean = 33.75
So, The value of the mean is a 33.75 in the normal distribution.
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