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By definition a quarter of the observations are below the lower quartile and a quarter are above the upper quartile. In all, therefore, half the observations lie outside the interquartile range. Many of these will be more than the inter-quartile range (IQR) away from the median (or mean) and they cannot all be outliers. So you take a larger multiple (1.5 times) of the interquartile range as the boudary for outliers.
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Does a box plot represent an interquartile range?
If presents you with the upper and lower quartile range, although you have to do calculations in order to find the interquartile range, so no, it does not,
How do you find the inter quartile?
interquartile range is upper quartile (or quartile 3) minus lower quartial ( or quartial 1 ) For example the quartile 3 is 165 and the quartile 1 is 125. The interquartile range is 40. You can go online and see pages. Thank you
How do you find the semi-interquartile range with only the mean and standard deviation?
In general, you cannot. If the distribution can be assumed to be Gaussian [Normal] then you could use z-scores.
How can you find the interquartile in a stem and leaf plot?
The range is the difference between the maximum score and the minimum score. Let's look at an example. [Figure2] The smallest number in the stem-and-leaf plot is 22. You can see that by looking at the first stem and the first leaf. The greatest number is the last stem and the last leaf on the chart. In this case, the largest number is 55. To find the range, subtract the smallest number from the largest number. This difference will give you the range. 55 - 22 = 33 The range is 33 for this set of data.
How do you find an outlier?
It is the biggest or lowest number out of the set. The number would be way different than the rest. Example: 14 12 52 17 19 The outlier would be 52 because it is the biggest number. Example: 59, 42, 77, 65, 10 The outlier would be 10 because it is the lowest number.
