Which one of the following statements is True? The greater the Kurtosis of a distribution the less data in the wings of the distribution. The greater the Coefficient of Variation the less uncertainty in the distribution. The greater the magnitude (absolute value) of the Z Score of a data pointthe closer the data point is to the mean of the distribution. For a Unimodal mound shaped distribution, the mean is closer to the median than to the mode. The greater the Percentile of a data point in a distribution, the lesser is its Z Score.
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.
Which one of the following statements is True?
- The greater the Kurtosis of a distribution the less data in the wings of the distribution.
- The greater the Coefficient of Variation the less uncertainty in the distribution.
- The greater the magnitude (absolute value) of the Z Score of a data pointthe closer the data point is to the
mean of the distribution.
- For a Unimodal mound shaped distribution, the mean is closer to the
median than to themode . - The greater the Percentile of a data point in a distribution, the lesser is its Z Score.
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