Decide if the following statement is true or false. Explain why. It is possible to have a standard deviation of 440,000. Answer 田 Table O False; a standard deviation can only assume a value between zero and one. True; by definition, the only value the standard deviation cannot be is zero. False; standard deviations can never be whole numbers since they are computed from a square root. OTrue; the standard deviation can be any value greater than or equal to zero.
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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Decide if the following statement is true or false. Explain why.
It is possible to have a standard deviation of 440,000.
Answer
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False; a standard deviation can only assume a value between zero and one.
True; by definition, the only value the standard deviation cannot be is zero.
False; standard deviations can never be whole numbers since they are computed from a square root.
True; the standard deviation can be any value greater than or equal to zero.
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