The scores on an exam are normally distributed, with a mean of 74 and a standard deviation of 7. What percent of the scores are
less than 81?
A. 84%
B. 13.5%
C. 50%
D. 16%
A. 84%
B. 13.5%
C. 50%
D. 16%
2 answers:
Answer:
<em>84%</em><em> of the scores are less than 81.</em>
Step-by-step explanation:
Here,
The given distribution is in normal distribution.
Mean = 74
Standard deviation = 7
Approximately 68% of the data falls within one standard deviation of the mean (or between the mean -one times the standard deviation, and the mean + 1 times the standard deviation).
As 81 = 74+7 = μ+1σ
So, of scores will be between 74 and 81.
As 74 is the mean, so 50% of score will lie below 74.
So total of 50+34=84% of the score will be less than 81.
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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