5. 100 exam scores follow the normal distribution with an average of 80 and stan

Question

5. 100 exam scores follow the normal distribution with an average of 80 and standard deviation 15. What is the number of students a. The value will not differ from one standard deviation from the average. B. The value is greater than the average. C. The value is smaller than the average. 5. 100 exam scores follow the normal distribution with an average of 80 and standard deviation 15. What is the number of students a. The value will not differ from one standard deviation from the average. B. The value is greater than the average. C. The value is smaller than the average. 5. 100 exam scores follow the normal distribution with an average of 80 and standard deviation 15. What is the number of students a. The value will not differ from one standard deviation from the average. B. The value is greater than the average. C. The value is smaller than the average.

Explanation / Answer

Data given:

Mean , m = 80

SD, S = 15

Sample size, n = 100

(a)

The number of students whose score lie within 1 standard deviation from the average is equal to 68.3%.

Since sample size is 100, so the number of students is approximately 69.

(b)

The number of students for whom the score is greater than the average is exactly 50% of the total sample, which means 50 students.

(c)

The number of students for whom the score is smaller than the average is exactly 50% of the total sample, which means 50 students.

Hope this helps !

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