Q:

Critical Thinking and Statistics The average test score of the class was an 80 and the standard deviation was 2. About 68 % of the class would score between what 2 values? 80 and 82 78 and 82 76 and 84 74 and 86

Accepted Solution

A:
Answer:B. 78 and 82.Step-by-step explanation:We have been given that the average test score of the class was an 80 and the standard deviation was 2. We are asked to find two values between which 68% of class will score.We know that in a normal distribution approximately 68% of the data falls within one standard deviation of the mean. So 68% scores will lie within one standard deviation below and above mean that is:[tex](\mu-\sigma,\mu+\sigma)[/tex]Upon substituting our given values, we will get:[tex](80-2,80+2)[/tex][tex](78,82)[/tex]Therefore, about 68% of the class would score between 78 and 81 and option B is the correct choice.