Paper 4: Fundamentals of Business Mathematics & Statistic

4.6 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS

Statistical Representation of Data

Table

Tally-sheet of the given raw data

Marks Tally-Marks Frequencies Marks Tally-Marks Frequencies

(x) (f) (x) (f)

16 / 1 40 //// 4

21 / (^141) / / / / 5
26 // 2 43 / 1
30 / 1 44 / 1
31 / 1 45 /// 3
32 /// 3 46 // 2
33 / 1 47 /// 3
36 // 2 48 // 2
37 //// 4 50 //// 4
(^38) / / / / 5 51 / 1
39 / 1 52 // 2
Total 22 Total 28
Total Frequency 50
Such a representation of the data is known as the Frequency Distribution.
The number of classes should neither be too large nor too small. It should not exceed 20 but should not be
less than 5, normally, depending on the number of observations in the raw data.
4.2.1. Group Frequency Distribution :
When large masses of raw data are to be summarised and the identity of the individual observation or the
order in which observations arise are not relevant for the analysis, we distribute the data into classes or
categories and determine the number of individuals belonging to each class, called the class-frequency.
A tabular arrangement of raw data by classes where the corresponding class-frequencies are indicated is
known as Grouped Frequency distribution.
Grouped Frequency Distribution of Marks of 50 students in Mathematics
Serial No. Marks No. of Students
1 16-20 1
2 21-25 1
3 26-30 3
4 31-35 5
5 36-40 16
6 41-45 10
7 46-50 11
8 51-55 3
Total 50