Explain the circumstances for which the interquartile range is the preferred measure of dispersion. What is an advantage that the standard deviation has over the interquartile range? Choose the correct answer below. O A. The interquartile range is preferred when the data are bell shaped. An advantage of the standard deviation is that it is resistant to extreme values O B. The interquartile range is preferred when the data are bell shaped. An advantage of the standard deviation is that it increases as the dispersion of the data increases O C. The interquartile range is preferred when the distribution is symmetric. An advantage of the standard deviation is that it is resistant to extreme values. O D. The interquartile range is preferred when the data are skewed or have outliers An advantage of the standard deviation is that it uses all the observations in its computation O E. The interquartile range is preferred when the data are not skewed or no have outliers, An advantage of the standard deviation is that it uses all the observations in its computation O F. The interquartile range is preferred when the distribution is symmetric, An advantage of the standard deviation is that it increases as the dispersion of the data increases
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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