Median and QuartilesThe median is a measure of center (location) of a list of numbers. It is the number suchthat at least half the data is less than or equal to it and at least half is greater than or equalto it. Note that, unlike the mean, the median is not influenced by a few large values in thelist.A measure of dispersion that accompanies the median is the interquartile range (IQR).It is the distance between the upper and lower quartiles.To find the quartiles and median, put the numbers in order from smallest to largest.Then if there are an odd number of numbers in the lis t the median can be found by countingin from either end of the list to the (n + 1)/2nd number. This will be the median. If thereare an even number on the list then average the n/2 and the (N + 2)/2 numbers. In general,the median is at position (n + 1)/2. If this position is a whole number then you have themedian at that position in the list. If the number ends in 0.5 then you average the twonumbers on the list on either side of it.For example, below are 10 numbers arranged from smallest to largest0 2 2 4 11 17 60 100 200 4000To find the median we compute its “depth” as (10 + 1)/2 = 5.5. So we take the average ofthe 5th and 6th numbers as the median, (11 + 17)/2 = 14. To continue to find the quartiles,take the depth, drop the 0.5 and add 1 and divide by 2. That is (5 + 1)/2 = 3. The lowerquartile can be found by counting in 3 from the bottom of the list, and the upper quartileis found by counting in 3 from the top of the list. For our example, the lower quartile is 2and the upper quartile is 100.Return to our example with the class quiz scores.Find the medianFind the upper and lower quartiles.Find the extremes.Make a 5-number summaryMedianQuartilesExtremesUse the 5-number summary and original data to make a Box-and-whisker plot of the