DU SOL B.Com Question Paper 2nd Year 2018 Business, Mathematics and Statistics

[This question paper contains 8 printed pages.]

1265 your Roil No.

B.Com. / II G-I
PapeT VI - BUSINESS MATHEMATICS ATT-D STATISTICS
Paper Code : 8-101

(Part B -Business Statistics)

Time: 2 Hours Maximum Marks ; 50

(Write your Roll No. on the top immediately
on receipt of this question paper.)

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t. Answer all Parts :

(a) Which average is based
on all the observations ?

is 49' calculate the value
of
(b) If mean is 64 andvariance
Coefficient of variation
(C'V')'
4 and 9'
(c) Find the geometric mean of
and
between X and Y is -0'70
(d) lf correlation coefficient
b*" is -1' find the
one of the regression coefficient (2x4)
other regression coefficient'

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examination results of
1000
2. (a) A study of B'Com(H)
gave the mean grade as 78
students in the year 2010 year
and standard deviation as
8' A similar study in the
2016revealedthemeangradeas80andstandard
we say about the
deviation as 1'6' What can period with
the time
performance of students' over
score and its variation
?
respect to their average

1265 3

(b) A gynecologist records
the blood pressures of her
patients and collects the
following data:
Age (in years): 23 24 2s 26 28 29 31 35
40
Lower limit of Bp: 65 60 62 70 70 73 7s 83
90

Assuming age as X and Bp
as y, calculate the two
regression equations. Also
estimate the BP if the
age
of a patient is 3g years.

OR
(c) The mean marks in Statistics
of 100 students in a class
was 72. The mean marks
in statistics of 70 boys was
75. Find out the mean marks
in statistics of girls in the
c lass.

(d) Calculate the modal size
in the following distribution
:

Size (in inches)

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1265 4

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BP +1 frq frqr : 65 60 62 70 70 73 75 83 90

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a
J. (a) The arithmetic mean of two observations is 100 and
their geometric mean is 60. Find their harmonic mean
and values of both the observations.

1265

(b) For the data given below, find the missing frequency if
the arithmetic mean is Rs. 330. Also, find median of
the series.

Loss per shop (Rs.) 0-10 l0-20 20-30 30-40 40-50 50-60
Frequency 100 150 300 ) 250 200

OR

(c) State the situations when median and mode are preferred
to arithmetic mean. Also state their relationship for
moderately skewed distribution.

(d) Prove that Fisher's ideal index satisfies both time
reversal and factor reversal tests. (6,g)

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1265 6

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4. (a) A cyclist pedals from his house to his college at a speed
of 20 km. per hour and back from the college to hrs
house at 30 km per hour. Find the average speed.

(b) Following are given figures of profit (in lakhs of Rupees)
of a sugar factory :

Year 2010 20r1 2012 2013 2014 20r5 20t6
Profit 60 70 75 65 80 85 100

Fit a straight line trend by the method of least squares
and find out :

(i) Trend values,
(ii) What is the annual increase or decrease in the
expected profits of the firm ? and

(iii) Estimate the likely profit for the year 2018.

1265 7

OR

(c) Which averages can be used in open ended series and
why ?

(d) Calculate the cost of living index number from the
following data and also find how much wages be
increased to compensate the rise in index if the workers
were getting Rupees 3500 per month in the base year'

Items Price in Rupees Weight

2014 2016

Food 300 450 5

Fuel 80 120 2
a
Clothing 140 2r0 J

House rent 200 225 J

Miscellaneous 2s0 300 2

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1265 8

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(40,000)