Asked by Shaina Lusienski on May 12, 2024
Verified
What percentage of scores fall within 3 standard deviations of the mean?
A) 50%
B) 95%
C) 68%
D) 99.5%
Standard Deviations
A measurement of the amount of variation or dispersion of a set of values, indicating how much the individual values differ from the mean.
Mean
The arithmetic average of a set of values, calculated by dividing the sum of all values by the number of values.
Scores
Numerical values that represent the result of an evaluation or measurement.
- Compute the proportion of scores that fall within given standard deviations from the average.
Verified Answer
HK
Harwinder Kaur CheraMay 12, 2024
Final Answer :
D
Explanation :
According to the empirical rule (also known as the 68-95-99.7 rule) in statistics, approximately 99.7% of the data within a normal distribution falls within three standard deviations of the mean. Therefore, the closest option provided is 99.5%.
Learning Objectives
- Compute the proportion of scores that fall within given standard deviations from the average.
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