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The scores on a test are normally distributed with a mean of 150 and a standard deviation of 30. What is the score that is 1 standard deviation below the​ mean?

User Chatra
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2 Answers

3 votes

Final answer:

A score of 120 is one standard deviation below the mean of 150 on a test with a standard deviation of 30.

Step-by-step explanation:

The score that is 1 standard deviation below the mean is found by subtracting the standard deviation from the mean. In the context of this normal distribution of test scores, with a mean of 150 and a standard deviation of 30, we calculate the score one standard deviation below the mean as follows:

Score = Mean – Standard Deviation = 150 – 30 = 120

This calculation indicates that a score of 120 is one standard deviation below the mean on this test.

User Lrepolho
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6.4k points
4 votes

Answer:

98

Step-by-step explanation:

User Puug
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8.0k points