Frequency Tables and Ordered Form

A frequency table is a table used to present raw data. Raw data are data which are arranged in any way. 

Data can also be arranged in numerical or alphabetical order or order of magnitude. Data arranged in this manner are said to be in ordered form. 

Example 9.1.1:

The shoe sizes of 20 boys are as follows: 8, 10, 9, 10, 11, 9, 8, 9, 12, 9, 10, 9, 9, 8, 8, 9, 10, 10, 11, 9. 

Arranged the shoe sizes in 

(a) ascending order 
(b) descending order 
(c) show this in a frequency table 
(d) which shoe size is the most common? 
(e) How many boys wear size 10 and above?  

Solution 

(a) ascending order = from smallest to largest 

= 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 12,