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The Normal Distribution MCQ

The number of standard deviations that a given raw score is above or below the mean is standard score

Answer

Correct Answer: True

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A table showing the area (as a proportion, which can be translated into a percentage) under the standard normal curve corresponding to any Z score or its fraction is standard normal table

Answer

Correct Answer: True

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A normal distribution represented in standard (Z) scores is standard normal distribution

Answer

Correct Answer: True

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A bell-shaped and symmetrical theoretical distribution with the mean, the median, and the mode all coinciding at its peak and with the frequencies gradually decreasing at both ends of the curve is normal distribution

Answer

Correct Answer: True

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By determining the total area below a given Z score, you are effectively calculating ______.

Answer

Correct Answer: A percentile rank

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To find the area under the normal curve for two Z scores, such as –.34 and .56, it is necessary to examine the ______.

Answer

Correct Answer: Sum of the area between each Z score and the mean

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In order to convert a percentile rank to a raw score in a normal distribution, one must first ______.

Answer

Correct Answer: Transfer the proportion into a Z score

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To find the area under the normal curve for two Z scores, such as –1.62 and –1.87, it is necessary to ______.

Answer

Correct Answer: All of these

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Suppose that for a particular distribution of scores, the mean is 8 with a standard deviation of 4. What is the raw score associated with a Z score of 4?

Answer

Correct Answer: 1

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Suppose that for a particular distribution of scores, the mean is 6 with a standard deviation of 3. What is the Z score for a raw score of 12?

Answer

Correct Answer: 2

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Is the formula for ______.

Answer

Correct Answer: Transforming a Z score into a raw score

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When we have identified the number of standard deviations that a given raw score is above or below the mean, we have effectively ______.

Answer

Correct Answer: Calculated a Z score

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About 68% of the area under the normal curve falls between ______ standard deviations.

Answer

Correct Answer: ±1

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In the normal distribution, the mean is always equal to the ______.

Answer

Correct Answer: Median

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When variables are said to be “normally distributed,” this means that ______.

Answer

Correct Answer: The graphic display is approximately bell-shaped and symmetrical

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About 95% of the area under the normal curve falls between ______ standard deviations from the mean.

Answer

Correct Answer: ±2

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______ is/are at the peak of the normal distribution.

Answer

Correct Answer: The mean, median, and mode

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We can use the ______ to determine the ______ of cases between the mean and any Z score in a normal distribution.

Answer

Correct Answer: Z score; proportion

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The normal distribution is ______.

Answer

Correct Answer: Symmetrical

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