Question

Consider the following stem and leaf display.

3 | 1 1 1 4 5

4 | 4 6 7

5 | 0 0 4 5 6 6 8 9

6 | 1 3 3 6

Find the 25^th percentile.

round to one decimal place

Answer 1

first we get the ungrouped data from the stem and leaf data by combining each stem with its leaf:

we get:

31,31,31,34,35,44,46,47,50,50,54,55,56,56,58,59,61,63,63,66

the data is already arranged in ascending order

formula for percentile:

P₂₅= N=no of observations=20

K=no whose percentile is to be found=25

P₂₅=

P₂₅₌

P₂₅=5.25

At last we round off our answer to nearest integer:

P₂₅=5

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