B.Com. II (Semester III) (CBCS) Examination, 2018
Busines Statistics
Day and Date Saturday, 22-12-2018 Max. Marks 70
Time 2.30 p.m. to 5.00 p.m.
instructions All questions are compulsory.
ii) Figures to the right indicate full marks.
iii) Use of soundless calculator is allowed.
iv) Graph paper will be supplied on request.
1. Choose correct alternative 14
A quantity which changes its value is called
Constant Variable Data Class
In a skewed distribution the values of median and mode are 24 and 28
respectively. The valued mean is
24 28 22 26
Rank correlation co-efficient developed by
Karl Pearson Spearman
Fisher Galton
The limits of correlation coefficient are
0 to 1 0 to 1
1 to 1 Greater than 1
Coefficient Range
L S L S
c)L S/L S+−
d)L SL S−+
If bxy 1.2 and byx 0.3. So that r
1.2 0.3
0.6 1.5
With the help of an Ogive curve we can determine
Median Quartile
Decile All of these
For a perfect negative correlation
r 1 r
r 0 None of these
Stub refers to
Heading or rows Heading of columns
Heading of data Side heading
10) If each observation in data increased by 5 then their simple mean is
Increased by 5 Decreased by 5
Constant None of these
11) Quartiles divide the data into equal parts.
2 4 10 100
12) Data taken from figures collected by others are termed as
Primary data Secondary data
Both None of these
13) The data are arranged according to time it is called
Geographical classification Chronological classification
Qualitative classification None of these
14) The value having maximum frequency is
Mean Median
Mode None of these
2. Define simple mean. Explain merits and demerits of simple mean. 7
For a distribution C.V. and mean are 80% and 20 respectively. find the
variance of the distribution. 7
3. Draw an Ogive curve and determine the median form the following data. 7
Marks 0-10 10-20 20-30 30-40 40-50
No. of Students 5 8 15 16 6
Define classification. Explain the different bases of classification. 7
4. Find the missing frequency in the following distribution, if median of the distribution
is 33. 14
Age (years) 10-20 20-30 30-40 40-50 50-60
N o. of persons 18 23 15 14
And also find out the value of mode.
OR
Calculate Karl Pearson's coefficient of correlation between x and y. 14
x 100 200 300 400 500 600 700
y 100 90 80 70 60 50 40
5. The following information about the workers of two factories as under. 14
Factory A Factory B
No. of workers 50 100
ii) Mean wages per month per worker x 120 85
iii) Variances 9 16
Which Factory A or B has large wages bill
In which factory there is greater variation in distribution of Bill
OR
Calculate the standards deviation from the following data 14
x 7 8 9 10 11 12 13
y 4 6 9 12 9 6 4