Question

4. Based on the stem-and-leaf plot below, would you say that the a) the mean will be greater than the median b) the mean will be smaller than the median c) the mean will be identical to the median d) the mean can not be obtained since the outliers are present Stem Leaf 1| 1 2 5 5 5 6 7 8889 9999 2 11 45 5 6 6677 778 310 00 1 2 2 3 4 567 8 4111667 where: stem1's leaf 0.1's 71 1 2

Answer 1

stem plot can be a very efficient means of displaying the data in a set or sample. In fact stem plot can be thought of as histograms drawn by the data value themselves rather than the bars representing those values with bins separated by place value rather than otherwise designated intervals.

On the given stem and leaf plot , the data is highly positively skewed because maximum values are from 1.1 - 3.8

we can calculate mean median mode from the stem plot. as it is positively skewed mean > median > mode the relation hold for the given sets of value.