Answer :
The score that is 2.5 standard deviation above the mean is 200.
Mean is defined as the average of given numbers i.e. sum of all numbers divided by the total number of numbers. The Mean is denoted as m or μ. Standard deviation is the measure which it shows the variation from the mean exists or not. The standard deviation is denoted as σ.
According to the given problem,
mean (μ) = 150
standard deviation (σ) = 20
Let x be the score that is 2.5 standard deviations above the mean.
⇒ x = μ + 2.5σ → 1
Substitute the values μ = 150 and σ = 20 in 1,
x = μ + 2.5σ
= 150 + 2.5(20)
= 150 + 50
x = 200
A score of 200 is 2.5 standard deviations above the mean.
To know more about finding scores using standard deviation and mean refer to:
brainly.com/question/6956996
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The complete question is
If the mean score on a test is 150 and its standard deviation is 20, what score would be 2.5 standard deviations above the mean?
a. 75
b. 100
c. 200
d. 91
