Question

21. Answer the following questions based on a distribution with a μ = 25 and σ = 4: a. What range of scores is considered “average”? ____________ to ______________ b. What percentage of people has an average score? __________________________ c. What percentage of people has extremely high or extremely low scores? _________ d. What range of scores (requires numbers to be noted in the blank spaces) have the highest probability of being selected? __________ to _________

Answer 1

The values that lie within 1 standard deviation of mean can be considered average

a. What range of scores is considered “average”?

Ans: 21 to 29

(25-4 and 25+4)

b. What percentage of people has an average score?

68%

68% of scores lie within 1 standard deviation of mean

c. What percentage of people has extremely high or extremely low scores?

5%

95% of scores lie within 2 standard deviations of mean. If a score is below 2 standard deviations of mean or above 2 standard deviations of mean, it can be considered extremely low or extremely high.

d. What range of scores have the highest probability of being selected?

17 to 33

(25-2x4 = 17 to 25+2x4 = 33)