Options
A . 75
B . 77
С . 80
D . 90
E . 09
Option B is correct. The score that is within one standard deviation of the mean will be 76 + 1 = 77
The formula for calculating the z-score is expressed as:
[tex]z=\frac{x-\mu}{\sigma\\}[/tex]
Let the required standard deviation of the mean required by "x", such that;
[tex]|\overline x - x| \leq4[/tex]
Given [tex]\overline x[/tex] is 80
Substitute the mean into the formula
[tex]|80 - x| \leq4\\-x\leq 4 - 80\\-x\leq-76\\x\geq76[/tex]
Since x is greater than 76, then the score is within one standard deviation of the mean will be 76 + 1 = 77
Learn more here: https://brainly.com/question/18233697
