The scores on a psychology exam were normally distributed with a mean of 59 and

Question

The scores on a psychology exam were normally distributed with a mean of 59 and a standard Deviation of 6. A failing grade on the exam was anything 2 or more standard Deviations below the mean. What was the cutoff for a failing score? Approximately What percentage of the students failed? The scores on a psychology exam were normally distributed with a mean of 59 and a standard Deviation of 6. A failing grade on the exam was anything 2 or more standard Deviations below the mean. What was the cutoff for a failing score? Approximately What percentage of the students failed?

Explanation / Answer

given that u =59,s=6

Cutoff score = u-2*s

= 59-2*6

=47

Using empirical rule

Below 2 standrst devaitions percentage = 5/2 = 2.5%

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