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Does the median have 50 percent of the cases below only in a normal distribution?
No. By definition of the median, the median has 50 percent of the case below and 50 percent of the cases above. This has nothing to do with the cases being in a normal distribution.
What Percent of data is below the mean in a normal distribution?
In the normal distribution, the mean and median coincide, and 50% of the data are below the mean.
Which descriptive statistic always divides the data set such that 50 percent of the data values lie above it and 50 percent lie below it?
The median.
What is 90th percentile out of 40?
For a complete definition of Percentile see the related link. A percentile is the value of a variable below which a certain percent of observations fallThe 90th percentile is typically the point at which 10 percent of the highest scores fall.If you assume that scores are out of 40, and that they are evenly distributed (an unlikely event in real life), then the 90th percentile is all scores above 36.
Can the mean be smaller than the median for a set of data?
Yes. If the lower values tend to be farther below the median than the highest values are above the median, the mean is smaller than the median. why are write wrong
