Answer:
Explanation:
Hello!
The mean is a measurement of central tendency that shows what is the most expected value of the variable. The standard deviation is a measurement of variability, it shows you how distant or dispersed are the values of a certain population or sample in regards to the value of the mean.
In this example the variable is X: score obtained on a math test.
It's mean is μ= 52 and its standard deviation is σ= 10
To know how many standard deviations away is a value of X concerning the mean you have to first subtract the mean to the value of X, X - μ, and then you have to divide it by σ:
(X - μ)/ σ
If X=76
(76 - 52)/ 10= 2.4
The score obtained by Andrea is 2.4σ away from the mean.
I hope it helps!