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Thread: MTH302 Assignment No.2 solution January 2012

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    Yelp 32 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

    = 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


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    5


    5/30=0.167


    17

    TOTAL:


    30


    1


    100



    5) The Mean

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

    = 889 / 30



  2. #2
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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.

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