MTH302 Assignment No.2 solution January 2012

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Question No. 1:



Using the following data: 51, 13, 46, 49, 15, 16, 19, 18, 13, 48, 25, 36, 45, 52, 25, 50, 14, 36, 21, 45, 32, 40, 23, 21, 11, 25, 16, 18, 34, 32.



Solution:

1) Range = Max Value – Min Value

= 52 – 11

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= 41



2) 7 Classes Frequency Distribution

First we found Class Width



Class Width = Range / Number of Classes

Number of Classes already given = 7

Now put in formula

= 41 / 7

= 5.85

= Round up 5.85 to 6

= 6



3) Relative Frequency (Column 3)

4) Percentage relative frequency (Column 4)



Tabulating Numerical Data

Frequency Distribution

Data in Ordered Array

11, 13, 13, 14, 15, 16, 16, 18, 18,19, 21, 21, 23, 25, 25, 25, 32, 32, 34, 36, 36, 40, 45, 45, 46, 48, 49, 50, 51, 52

Class


Frequency


Relative Frequency

= Frequency of the Class Interval / Total Frequency


%age Relative Frequency

= Frequency of the Class Interval / Total Frequency

11 – 16


7


7/30=0.233


23

17 – 22


5


5/30=0.167


17

23 – 28


4


4/30=0.133


13

29 – 34


3


3/30=0.10


10

35 – 40


3


3/30=0.10


10

41 – 46


3


3/30=0.10


10

47 – 52


5


5/30=0.167


17

TOTAL:


30


1


100



5) The Mean

= (Sum of Total Value) / (Number of Total Values)

= 889 / 30

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MTH302 Assignment no 1 Solution Spring June 2012


Question No. 1:

If the salary and allowances of an employee are as follows:

Basic Salary
House Rent Allowance
Conveyance Allowance
Utilities Allowance
Group Insurance/Medical
Misc. Social Charges

There are Casual, Earned (not availed) and no Sick leaves per year where as normal working days per month are . Calculate the Gross Remuneration of the Employee.

Question No. 2:

Calculate the discount factor and discounted value when discount rate is 5%, number of periods is 20 and amount of annuity is Rs.20000.