UGB108 Quantitative Methods for Business Alternative

UGB108 Quantitative
Methods for Business
Alternative

Contents
Contents...........................................................................................................................................2
Question 1........................................................................................................................................1
Question 3........................................................................................................................................3
Question 4........................................................................................................................................5

Question 1
a.
Frequency
(f)
x f x (x -x) (x -x)² (x -x)*f
30 but less
than 35
17 32.5 552.5 -11.96 143.041
6
2431.71
35 but less
than 40
24 37.5 900 -6.96 48.4416 1162.6
40 but less
than 45
19 42.5 807.5 -1.96 3.8416 73
45 but less
than 50
28 47.5 1330 3.04 9.2416 258.76
50 but less
than 55
19 52.5 997.5 8.04 64.6416 1228.19
55 but less
than 60
13 57.5 747.5 13.04 170.041
6
2210.5
Total 120 5335 7364.8
I. Mean:
Mean = Σ f x /Σ f = 5335 /120 = 44.46
II. Standard Deviation:
Standard Deviation = √∑(x - x )²*f/(n-1) √7364.79/ (6-1) = 85.82/5 = 17.16
III. Interpretation:-
On the basis of above done calculation of mean and standard deviation this can be inferred that
value is of 44.46 and 17.16 respectively. Herein, we can see that both values are far away from
each others.
(b)
Simple random sampling- This is a form of the probabilistic sampling method by which random
sample select subsets from the total society among attendees. Every respondent has equal
1