Question

For the following raw data, form a discrete frequency distribution:
30, 32, 32, 28, 34, 34, 32, 30, 30, 32, 32, 34, 30, 32, 32, 28, 32, 30, 28, 30, 32, 32, 30, 28 and 30.

Answer 1

Hint: Given raw data. This data has 4 unique objects. Note how many times each object is repeated and label the count as frequency. Each object will be a class with no class boundaries.

Complete step-by-step answer:
 In discrete distribution, the data can only take certain values which are not continuous, for example integers. In continuous distribution, the data can take any value within a specified range which may be infinite values.
We are given the raw data 30, 32, 32, 28, 34, 34, 32, 30, 30, 32, 32, 34, 30, 32, 32, 28, 32, 30, 28, 30, 32, 32, 30, 28 and 30 and we have to form it into a discrete frequency distribution.
Arrange the data in ascending order.
28, 28, 28, 28, 30, 30, 30, 30, 30, 30, 30, 30, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 34, 34, 34.
28 was repeated 4 times.
30 was repeated 8 times.
32 was repeated 10 times.
34 was repeated 3 times.
 $ \begin{array}{*{20}{c}}
  {Data}&{Frequency} \\
  {28}&4 \\
  {30}&8 \\
  {32}&{10} \\
  {34}&3 \\
  {Total}&{ = 25}
\end{array} $
Total no. of observations is 25.
The sum of all the frequencies must be equal to total no. of observations.

Note: Class boundaries specify the upper and lower limit of a class. There are no class boundaries in discrete distributions as there will be only one object in the class. So, do not confuse discrete distribution with continuous.