(b) How are the data sets the same? How do they differ? O A. The three data sets have the same range but have different means. O B. The three data sets have the same mean but have different standard deviations. O C. The three data sets have the same range and mean but have different standard deviations. D. The three data sets have the same standard deviations but have different ranges.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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(i)
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(ii)
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O C. Data set (ii), because it has more entries that are close to the mean.
(b) How are the data sets the same? How do they differ?
A. The three data sets have the same range but have different means.
B. The three data sets have the same mean but have different standard deviations.
O C. The three data sets have the same range and mean but have different standard deviations.
O D. The three data sets have the same standard deviations but have different ranges.
Click to select your answer.
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Which data set has the least sample standard deviation?
O A. Data set (iii) because it has more entries near the mean than far away from it.
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B. Data set (i), because it has no entries near the mean.
O C. Data set (ii), because it has more entries that are close to the mean.
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(b) How are the data sets the same? How do they differ?
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O A. The three data sets have the same range but have different means.
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