B.B.A. (Semester III) (CGPA) Examination, 2017
BUSINESS STATISTICS
Day Date: Tuesday, 11-04-2017 Max. Marks: 70
Time: 02.30 PM to 05.00 PM
N.B. Each question carry equal marks.
All questions are compulsory.
Use of calculator is allowed.
Q.1 Choose correct alternatives: 07
Cumulative frequencies are plotted against upper limits in
drawing.
Histogram Less than ogive curve
Greater than ogive curve None of these
If mean of group is 20, if each observation is increased by 5 then
mean of new set of observations is
5 10
30 25
Which of the following is not a central tendency of the data
Mean Median
Mode Standard deviation
The type of sampling approach where each person in the
population has an equal chance of being selected in the sample is
best described as
Simple random sampling Census method
Stratified method None
One single figure which tells the whole story i.e. which will
represent the data is called.
Average Dispersion
Correlation None of these
The correlation between rainfall and temperature is
Zero Positive
Negative Can not be determined
Regression equations are used for
Prediction Calculation
Dispersion Tabulation
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Q.1 Fill in blanks: 07
The average of upper limit and lower limit of a class is known as
The number of observations belonging to a class is called
Laspeyre's Price Index no is
Variance of is
If correlation coefficient 1 Then
The regression line of Y on X is
The intersection of two ogive curves gives
Q.2 Answer (Any two) 14
i. Class limits
ii. Mean
iii. Median
Calculate mean and median for the following series.
52,45,60,53,48,65,42,45,60
Describe advantages of sampling methods over Census method.
Q.3 Answer (Any two) 14
Write a short note on histogram.
From the following data find mean, SD and CV.
Class 0-20 20-40 40-60 60-80 80-100
Frequency 6 3 2 4 5
The marks out of 100 scored by 40 students in the subject Statistics are
given below.
56 78 62 37 54 39 62 60 40 47 41 28 82 38 72
62 44 54 42 50 52 42 55 57 65 68 47 42 56 47
48 56 56 55 66 42 52 48 48 53
Classify the data by taking classes 25-30, 30-35…….
Q.4 Draw less than ogive curve and locate median. Also obtain mean and Mode. 14
Class: 0-10 10-20 20-30 30-40 40-50 50-60
Frequency: 8 6 10 8 4 2
OR
From the following data obtain Karl person's coefficient of correlation and
the equations of lines of regression. Also estimate expenses if sales in 75.
14
Sales: 45 70 65 30 90 40 50 75 85 60
Expenses: 35 90 70 40 95 40 60 80 80 50
Q.5 Explain the terms base year, current year, weight in the construction of
Index number. From the following data find Fisher's price Index number.
14
Item Base year Current year
Price Qty Price Qty
Rice 25 5 30 6
Coconut Oil 60 2 100 3
Tea 100 1 120 2
Washing Powder 100 4 120 4
Sugar 30 4 40 5
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OR
The table below gives the respective heights of 10 fathers and their
sons.
Find regression line of Y on X.
Find regression line of X on Y.
Estimate Son's height if father's height is 65 inches.
Estimate father's height if Son's height is 60 inches.
Compute correlation coefficient between X and Y.
14
57 58 59 60 61 62 63 64
52 56 58 61 59 62 61 60