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Understanding Variability in Statistics MCQ

The square of the standard deviation and another measure of a distribution’s spread or dispersion is called variance

Answer

Correct Answer: True

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Unbiased estimate is a conservative estimate of a population parameter.

Answer

Correct Answer: True

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The average deviation for all scores from the mean of a distribution, calculated as the sum of the absolute value of the scores’ deviations from the mean divided by the number of scores is called

Answer

Correct Answer: Mean deviation

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The average amount of variability in a set of scores or the scores’ average deviation from the mean is called

Answer

Correct Answer: Standard deviation

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____ is a gross mea­sure of variability.

Answer

Correct Answer: Range

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How much scores differ from one another or, put another way, the amount of spread or dispersion in a set of scores is called

Answer

Correct Answer: Variability

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The standard deviation is ______.

Answer

Correct Answer: The square root of the average squared deviation from the mean

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What are the three tools used to assess variability?

Answer

Correct Answer: Range, standard deviation, and variance

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When we square the difference scores when calculating a measure of variability, we are using the ______.

Answer

Correct Answer: Standard deviation

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When calculated on the same distribution of scores, the average deviation will be ______ the standard deviation.

Answer

Correct Answer: Less than

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In order to calculate the variance, which of the following must you know?

Answer

Correct Answer: Mean

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What is another term for variability?

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Correct Answer: Spread of dispersion

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Which of the following is not a measure of variability?

Answer

Correct Answer: Mean

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When we take the absolute value of the difference scores when calculating a measure of variability, we are using the ______.

Answer

Correct Answer: Average deviation

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The symbol σ represents the standard deviation for ______.

Answer

Correct Answer: A population

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The symbol S represents the standard deviation for ______.

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Correct Answer: A sample

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The symbol s represents the standard deviation for ______.

Answer

Correct Answer: The unbiased estimator of the population standard deviation

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The range is ______.

Answer

Correct Answer: The difference between the lowest and highest scores in the distribution

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The calculation of the average deviation differs from the calculation of the standard deviation in that the difference scores are ______.

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Correct Answer: Converted to absolute values

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Imagine that distribution A contains the following scores: 3, 4, 5, 6, 7. Imagine that distribution B contains the following scores: 1, 3, 5, 8, 10. Distribution A has a ______ standard deviation and a ______ average deviation in comparison to distribution B.

Answer

Correct Answer: Smaller; smaller

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Which of the following measures scores differ from each other?

Answer

Correct Answer: Variability

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