Solapur University Question Paper
B.Sc.– I (Semester – I) (New) Examination, 2014
STATISTICS Paper – I
Descriptive Statistics – I
Day and Date : Monday, 9-6-2014 Max. Marks : 50
Time : 11.00 a.m. to1.00 p.m.
N.B. : 1) All questions are compulsory and each carry equal
marks.
2) Figures to the right indicate full marks.
1. Choose an appropriate alternate to the following : 10
1) Which one of the following is correct ?
a) M.D. > S. D. b) M.D. ≠ S. D.
c) M.D. > S. D. d) M.D. < S. D.
2) The value of P50 is
a) equal to Q3 b) equal to Q1
c) equal to D5 d) none of thes
3) Median of an arranged data is the
a) Most frequent value b) Minimum value
c) Maximum value d) Middle most value
4) The A.M. of a certain series of observations is 4. If each value is increased
by 3 then the A.M. is
a) 3 b) 4
c) 7 d) None of these
5) If the smallest value in a set is 7 and its range is 85, then the largest value of
set is
a) 78 b) 92
c) 12.14 d) None of these
P.T.O.
Seat
No.
SLR-CN – 206 -2-
6) If β 2 = 3 then the curve is
a) Lepto kurtic b) Plattykurtic
c) Mesokurtic d) None of these
7) The first order moment about origin is
a) One b) Zero
c) Mean d) None of these
8) The most repeated observation is
a) A.M. b) G.M.
c) H.M. d) None of these
9) With the help of an ogive, one can not determine
a) Median b) Quartiles
c) Percentiles d) None of these
10) M.D. is least when measured from
a) Mean b) Median
c) Mode d) None of these
2. Attempt any five of the following : 10
i) State the requirement of a good measures of central tendency.
ii) For two positive observations a and b, show that G.M. = A.M. × H.M. .
iii) Define quartiles and deciles.
iv) Given the variance of a mesokurtic distribution is 4. Find μ 4.
v) State the first 4 central moments in terms of raw moments.
vi) Define C.V. and explain its utility.
3. A) Attempt any two of the following : 6
i) The first two moments of a distribution about 4 are 3 and 34. Find mean
and variance.
ii) Distinguish between absolute and relative measures of dispersion.
iii) Show that mean square deviation is greater than or equal to variance.
B) Write a note on Skewness and Kurtosis. 4
-3- SLR-CN – 206
4. Attempt any two of the following : 10
i) Explain the construction of an ogive curve.
ii) Explain the terms :
1) relative frequency
2) open end classes
3) class frequency
iii) Show that the sum of deviations about mean of a frequency distribution is
zero.
5. Attempt any one of the following : 10
i) A variable takes values 1, 2, . . . n with frequencies 1, 2, . . . n. Find its mean
and variance.
ii) Derive the formula for finding mode for a grouped frequency distribution.
_______________
B.Sc.– I (Semester – I) (New) Examination, 2014
STATISTICS Paper – I
Descriptive Statistics – I
Day and Date : Monday, 9-6-2014 Max. Marks : 50
Time : 11.00 a.m. to1.00 p.m.
N.B. : 1) All questions are compulsory and each carry equal
marks.
2) Figures to the right indicate full marks.
1. Choose an appropriate alternate to the following : 10
1) Which one of the following is correct ?
a) M.D. > S. D. b) M.D. ≠ S. D.
c) M.D. > S. D. d) M.D. < S. D.
2) The value of P50 is
a) equal to Q3 b) equal to Q1
c) equal to D5 d) none of thes
3) Median of an arranged data is the
a) Most frequent value b) Minimum value
c) Maximum value d) Middle most value
4) The A.M. of a certain series of observations is 4. If each value is increased
by 3 then the A.M. is
a) 3 b) 4
c) 7 d) None of these
5) If the smallest value in a set is 7 and its range is 85, then the largest value of
set is
a) 78 b) 92
c) 12.14 d) None of these
P.T.O.
Seat
No.
SLR-CN – 206 -2-
6) If β 2 = 3 then the curve is
a) Lepto kurtic b) Plattykurtic
c) Mesokurtic d) None of these
7) The first order moment about origin is
a) One b) Zero
c) Mean d) None of these
8) The most repeated observation is
a) A.M. b) G.M.
c) H.M. d) None of these
9) With the help of an ogive, one can not determine
a) Median b) Quartiles
c) Percentiles d) None of these
10) M.D. is least when measured from
a) Mean b) Median
c) Mode d) None of these
2. Attempt any five of the following : 10
i) State the requirement of a good measures of central tendency.
ii) For two positive observations a and b, show that G.M. = A.M. × H.M. .
iii) Define quartiles and deciles.
iv) Given the variance of a mesokurtic distribution is 4. Find μ 4.
v) State the first 4 central moments in terms of raw moments.
vi) Define C.V. and explain its utility.
3. A) Attempt any two of the following : 6
i) The first two moments of a distribution about 4 are 3 and 34. Find mean
and variance.
ii) Distinguish between absolute and relative measures of dispersion.
iii) Show that mean square deviation is greater than or equal to variance.
B) Write a note on Skewness and Kurtosis. 4
-3- SLR-CN – 206
4. Attempt any two of the following : 10
i) Explain the construction of an ogive curve.
ii) Explain the terms :
1) relative frequency
2) open end classes
3) class frequency
iii) Show that the sum of deviations about mean of a frequency distribution is
zero.
5. Attempt any one of the following : 10
i) A variable takes values 1, 2, . . . n with frequencies 1, 2, . . . n. Find its mean
and variance.
ii) Derive the formula for finding mode for a grouped frequency distribution.
_______________
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