using the following stem and leaf plot 17 8 20 1 4 4 30 2 4

using the following stem and leaf plot 1|7 8, 2|0 1 4 4, 3|0 2 4, 4|0 explain how you would find the upper quartile. What is the upper quartile for this set?

Solution

Given stem and leaf plot

1|7 8

2|0 1 4 4

3|0 2 4

4|0

Upper quartile corresponds to 75% of the data.It is the midpoint of Upper extreme and median.

The data from stem and leaf plot is 17,18,20,21,24,24,30,32,34,40

In the above data median = 24 (Which is average of middle terms)

Upper extreme = 40

To find Upper quartile we need to consider 30,32,34,40

Thus the Upper quartile =(32+34)/2

=33.