How do you make a stem-and-leaf diagram for this data: 27, 19, 35, 28, 25, 16, 40, 39, 32, 29, 31

The purpose of the stem and leaf  diagram to make the data
visually reprenting. We can have the knowlege of spread , centre and shape and out line
of of variation.

The representation contains the stem which
are usually the leading ( ot the digits in highest pklace ) and the trailing digits are
treated as on the leaf).

Example : In the given data  if
you rearang the data  could be classified as:

10 to 19
group : 16,19

20 to 29 proup: 25, 27,
28,29

30 to 39 group: 31, 32 , 35,
39

 40 to 49: 40.

We can
represent  the 10 to 16, in 10 to 19 group  as below:

We
show  16 and  19 in the stem 1 , as 1 is the leading digit in 16 and 19. The 6 in 16 and
9 in 19 wil be in leaf.

Similarl we write other groups .
The stem and leaf representation of the given data is as
below:

Stem       :     
leaf

1             :    6  ,  
9

2             :    5  ,   7  , 8  ,  
9

3             :    1  ,   2  , 5  ,  
9

4             :    0

The
representation also helps identify  the quartiles , median
easily.