Answer:
B
Step-by-step explanation:
Mathematically, we shall be using the z-score here
Z-score = (x-mean)/SD
From the question, mean = 80 and SD = 4
So we want to get the option in the question that has a z-score of 1 or below
Let’s look at 75
80-75 = 5 ( this is clearly above 1 standard deviation of 4)
For 77;
80 -77 = 3
This is less than the standard deviation of 4, meaning it is within 1 standard deviation of the mean
Option B) is correct.
Step-by-step explanation:
Given :
Mean [tex](\mu)[/tex] = 80
Standard Deviation [tex](\sigma)[/tex] = 4
Calculation :
We have to find the score that would be 1 deviation from the mean. Which means, the interval [tex](\mu-\sigma, \mu+\sigma)[/tex]
[tex]\mu-\sigma = 80-4=76[/tex]
[tex]\mu+\sigma =80+4=84[/tex]
The interval is (76,84)
Therefore, option B) is correct.
For more information, refer the link given below
https://brainly.com/question/23907081?referrer=searchResults
