Paper 4: Fundamentals of Business Mathematics & Statistic

FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 5.39

Example 40 : In a moderately asymmetrical distribution the mode and mean are 32.1 and 35.4 respectively.
Calculate the Median.
From the relation, we find
3 Median = 2 Mean + Mode
or 3 Median = 2 × 35.4 + 32.1 = 70.8 + 32.1 = 102.9
∴ Median = 34.3
SELF EXAMINATION QUESTIONS :

1. Define mode. Mention the advantages and disadvantages of mode.


2. Calculate the mode of the following numbers :
   (i) 25, 1275, 748, 169, 876, 169 [Ans. 169]
   (ii) 4, 3, 2, 5, 3, 4, 5, 1, 7, 3, 2, 1 [Ans. 3]
   (iii) 69, 75, 57, 70, 71, 75, 76 [Ans. 75]
   (iv) 1, 3, 4, 7, 9, 10, 11, 13, 14, 16 [Ans. 11]


3. Find the mode of the numbers :
   7, 4, 3, 5, 6, 3, 3, 2, 4, 3, 3, 4, 4, 2, 3 [Ans. 3]


4. Find the mode of the following frequency distribution :-
   x f
   0 5
   1 22
   2 31
   3 43
   4 51
   5 40
   6 35
   7 15
   8 3 [Ans. 4]


5. Compute mode from the following frequency distribution :

Marks Students

0–10 3

10–20 7

20–30 10

30–40 6

40–50 2 [Ans. 25 marks]