Page 3 - Lesson note- 2- Ch 14 Statistics (Frequency Distribution)

Solution:

Step 1: Find the range.

The range of a set of numbers is the difference between the least number and the
greatest number in the set

In this example, the greatest mass is 78 and the smallest mass is 48. The range of the
masses is then 78 – 48 = 30. The scale of the frequency table must contain the range of
masses.

Step2: Find the intervals

The intervals separate the scale into equal parts.

We could choose intervals of 5. We then begin the scale with 45 and end with 79.

Step 3: Draw the frequency table using the selected scale and intervals.

Mass (kg) Frequency
45 – 49 2

50 – 54 4
55 – 59 7
60 – 64 10
65 – 69 4
70 – 74 6

75 – 79 7

Ungrouped Frequency Distribution Table with Example

Now, that we have understood the difference between ungrouped and grouped data, it
will be easy for us to understand an ungrouped frequency distribution table.

For example, we are assuming the marks that 30 students scored in English,
considering the total marks to be 50.

45, 34, 39, 23, 36, 47, 48, 34, 28, 44, 45, 43, 32, 39, 41, 38, 44, 37, 33, 38, 46, 44, 49,
43, 28, 36, 33, 32, 39, 42

Now let us make a table and see how many students got each of these marks.

Marks Frequency
23 1
28 2
32 2