Based on the parallel boxplots in the display, which of the following statements about these data sets CANNOT be justified? 1. The range of the two sets of data is the same 2. The data in set A has less variability than the data in set B 3. The median of set A is greater than the median of set B 4. The interquartile range of set B is more than twice the interquartile range of set A Set B has more data than set A
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.
Based on the parallel boxplots in the display, which of the following statements about these data sets CANNOT be justified?
1. The range of the two sets of data is the same
2. The data in set A has less variability than the data in set B
3. The median of set A is greater than the median of set B
4. The interquartile range of set B is more than twice the interquartile range of set A
Set B has more data than set A
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