Question

Using the following stem & leaf plot, find the five number summary for the data by hand. 1|7 8 2|0 1 3 3|0 1 4|0 3 3 4 5|0 1 3 4 4 6|1 1

Answer 1

In stem and leaf display, 1 | 7 means 17

The sample data is

17, 17, 20 , 21 , 23 , 30 , 31 , 40 , 43 , 43 , 44 , 50 , 51 , 53 , 54 , 54 , 61 , 61

Min = 17

Q1 = (n+1)/4 th observation

= (18 + 1) / 4

= 4.75 th observation

= 22.5

Q2 = ( n + 1) 2 th observation

= ( 18 + 1) / 2

= 9.5th observation

= 43

Q3 = 3 ( n + 1) / 4 th observation

= 3 ( 18 + 1) / 4

= 14.25th observation

= 53.25

Max = 61

Five number summery = Min , Q1 , Q2 , Q3 , Max = 17 , 22.5, 43 , 53.25 , 61