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1 | | A key difference between calculating the sample mean and the population mean is: |
| | A) | we use (0.0K) and n instead of μ and N. |
| | B) | we divide the sum of the observations by n - 1 instead of n. |
| | C) | the sample observations are ranked and the middle value is selected as the population mean. |
| | D) | there are no differences. |
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2 | | Which of the following measures of central location is affected most by extreme values? |
| | A) | Median |
| | B) | Mean |
| | C) | Mode |
| | D) | Variance |
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3 | | The Empirical Rule states that: |
| | A) | for a bell shaped frequency distribution, approximately 68% of the observations are in the range of plus or minus one standard deviation. |
| | B) | for a positively skewed frequency distribution, approximately 68% of the observations are in the range of plus or minus one standard deviation. |
| | C) | for a bell shaped frequency distribution, approximately 75% of the observations are in the range of plus or minus one standard deviation. |
| | D) | for a positively skewed frequency distribution, approximately 75% of the observations are in the range of plus or minus one standard deviation. |
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4 | | Which measure of central tendency reports the value that occurs with the highest frequency? |
| | A) | Mean |
| | B) | Median |
| | C) | Mode |
| | D) | Standard deviation |
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5 | | An example of Chebyshev's Theorem is: |
| | A) | for a bell shaped frequency distribution, at least 95% of the observations are in the range of plus or minus two standard deviations from the mean. |
| | B) | for a negatively skewed frequency distribution, at least 95% of the observations are in the range of plus or minus two standard deviations from the mean. |
| | C) | for any frequency distribution, at least 75% of the observations are in the range of plus or minus two standard deviations from the mean. |
| | D) | for a positively skewed frequency distribution, at least 68% of the observations are in the range of plus or minus two standard deviations from the mean. |
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6 | | In comparing two different samples of 100 observations, sample "A" has a mean of 10 and a standard deviation of 10. The sample "B" has a mean of 10 and a standard deviation of 50. The two samples are: |
| | A) | exactly the same. |
| | B) | are centered at 10, but sample "A"s data is more concentrated near the mean. |
| | C) | are centered at 10, but sample "B"s data is more concentrated near the mean. |
| | D) | positively skewed. |
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7 | | For a distribution, the mean is 5, the median is 15, and the mode is 20. Based on this information, the distribution is: |
| | A) | positively skewed. |
| | B) | negatively skewed. |
| | C) | symmetric. |
| | D) | bell-shaped. |
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8 | | In a positively skewed distribution, which measure of central tendency is the largest? |
| | A) | Mean |
| | B) | Median |
| | C) | Mode |
| | D) | Variance |
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9 | | Which of the following statistics is a measure of dispersion? |
| | A) | Mean |
| | B) | Median |
| | C) | Mode |
| | D) | Standard deviation |
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10 | | What is true about the range? |
| | A) | Only two values are used in its calculation. |
| | B) | It is in different units than the mean. |
| | C) | It can be used for nominal data. |
| | D) | All values are used in its calculation. |
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11 | | The numerator of the mean deviation is: |
| | A) | the sum of squared deviations from the mean. |
| | B) | the variance. |
| | C) | the sum of the absolute values of deviations from the mean. |
| | D) | always reported in units squared. |
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12 | | The standard deviation is: |
| | A) | based on squared deviations from the mean. |
| | B) | expressed in the same units as the mean. |
| | C) | uses all the observations in its calculation. |
| | D) | all of the above. |
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13 | | In a negatively skewed distribution: |
| | A) | the mean, median, and mode are all equal. |
| | B) | the mean is larger than the median. |
| | C) | the median is larger than the mean. |
| | D) | the standard deviation must be larger than the mean or the median. |
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