Question

Represent the following data in the form of frequency distribution table:
16, 17, 21, 20, 16, 20, 16, 18, 17, 21, 17, 18, 19, 17, 15, 15, 19, 19, 18, 17, 17, 15, 15, 16, 17 and 17.

Answer 1

Hint: Here we count the total number of observations first and arrange the data in ascending order. Count the number of times each observation is being repeated. Draw a frequency table that shows the frequency of each observation.
* Frequency distribution table is a table that represents the frequency (number of times observation is repeated) of an observation. The Sum of frequencies is always equal to the total number of observations in the data.

Complete step by step answer:
We are given the data 16, 17, 21, 20, 16, 20, 16, 18, 17, 21, 17, 18, 19, 17, 15, 15, 19, 19, 18, 17, 17, 15, 15, 16, 17 and 17.
The total number of observations is 26.
We arrange the data in ascending order.
15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 19, 19, 19, 20, 20, 21, 21
The observations that are being repeated are 15, 16, 17, 18, 19, 20, and 21.
Now we draw a frequency distribution table.

Observations (x)	Frequency \[f(x)\]
15	4
16	4
17	8
18	3
19	3
20	2
21	2
Total:\[\sum {f(x)} \]	26

Note:
Students many times don’t arrange the observations in proper increasing order which brings calculation mistakes in the frequency of observations. Keep in mind we compare the total number of observations from the raw data and the frequency table to check our answer.