Paper 4: Fundamentals of Business Mathematics & Statistic

FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 5.7

Let A = 67. Now using the formula

x = A + fd ́

f

×i, we get 67.45 =

3

67 +^45 ×3

174 + f

or,
0.45^135
= 174 +f 3 or, 78.30 + 0.45 f 3 = 135

or, 0.45f 3 = 56.70 or, f 3 56.70
0.45
= = 126

For two missing frequencies :
Example 7: The A.M. of the following frequency distribution is 1.46

No. of accidents No. of days

0 46

1 f 1

2 f 2

3 25

4 10

5 5

Total 200

Find f 1 and f 2?
Let, x = No. of accidents, f = No. of days
Solution:
Table : Calculation of Mean
x f d = x – 2 fd
0 46 –2 –92
1 f 1 –1 –f 1
2 f 2 0 0
3 25 1 25
4 10 2 20
5 5 3 15
Total N = 200 –– Σfd= −32 f− 1

AM =

A + fd

f

or, 1.46 = 2 +^1
-32 - f
200 or, – 0.54

(32 f 1 )

200

=− +

or, 108 = 32 + f 1 , or, f 1 = 76,

f 2 = 200 – (46+ 76+ 25+ 10+ 5) = 38