Question

Tanner took a statistics test whose mean was 80 and the standard deviation was 5. The total points possible was 100. Tanner's score was 2 standard deviations below the mean. What was Tanner's score, rounded to the nearest whole number?

Answer 1

Tanner's score = 70

Explanation:

Data provided in the question:

Mean value of the statistics test taken by Tanner = 80

Standard deviation = 5

Total points possible = 100

Now,

It is given that the Tanner's score was 2 standard deviation below the mean

Mathematically,

Tanner's score = Mean - ( 2 × Standard deviation )

or

Tanner's score = 80 - ( 2 × 5 )

or

Tanner's score = 80 - 10

or

Tanner's score = 70