Veer Narmad South Gujarat University 2011-1st Year B.A SB - 0006 Elements of statistics . - Question Paper

Time : Hours]    [Total Marks

SB-0006

First Year B. A. Examination March/April - 2011 Elements of Statistics

00

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Fillup strictly the details of signs on your answer book.

Name of the Examination :

F. Y. B. A.

Name of the Subject:

Elements of Statistics

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3,	4,	2,	4,	5,	6, 2	3,	1,	2,	3.

Instructions : (1) Answer all the questions.

(2)    Figures indicate on right side are full marks of the question.

(3)    Logarithmic table and statistical tables and graphs are provided on request.

1    Answer the following questions.    14

(a)    Mean=27.2, median=30.1 of one series then find mode.

(b)    Mean=22.5 of 15 observation of one series and mean=24.8 of 20 observation of second series then find combined mean.

(c)    Find mean deviation by using mean of the observations : 2, 3, 8, 9, 10.

(d)    Write four uses of figures.

(e)    If n=10, Ed²=52 then find rank correlation coefficient.

(f)    If b_yx=1.6 and b_xy=0.4 the find correlation coefficient.

(g)    Write four uses of diagram.

2    (a) Discuss the methods to collect secondary data.    5

(b)    Explain limitations of statistics.    5

(c)    State the rules of the tabulation.    4

OR

2 (a) Discuss the definitions of statistics given by various 7 aurthors.

(b) Draw the cumulative frequency curve of the following 7 data and hence derive median.

Class	0-10	10-20	20-30	30-40	40-50	50-60	60-70
Frequency	2	7	13	16	12	8	2

3 (a) Define the definition of mean and median state    6

the merits and demerits of the mean.

(b) Find mean, median and mode of the following data. 8

Class	0-10	10-20	20-30	30-40	40-50	50-60	60-70
Frequency	8	14	20	25	18	10	5

OR

3 (a) What is dispersion ? State the merits and demerits of 6 standard deviation.

Class	0-10	10-20	20-30	30-40	40-50	50-60	60-70
Frequency	4	18	20	30	15	10	3

4 (a) What is correlation coefficient ? Explain the method 6 of spearman's rank difference.

(b) Find rank correlation coefficient from the following 8 data.

X	45	51	48	58	60	62	65	66	61	68
y	36	31	33	26	25	27	24	23	22	20

OR

4 (a) Define the coefficient of segression? state its    6

charactristics.

(b) Find two regression lines from the following data. 8

X	25	28	30	32	35	36	39	42	54
y	20	26	29	30	25	18	26	35	45

5 Answer any four of the following.    14

(a)    What is skewness? write the charactristics of skewness.

(b)    State limitations of diagram.

(c)    State the characteristics of ideal questionnaire.

(d)    Find the coefficient of variation.

4, 8, 12, 24, 36

(e)    Define mean deviation and write its merits and demerits.

(f)    Construct proper frequency distribution for following data.

3,	2,	o,	1,	5,	6,	2,	3,	6,	4,
4,	o,	2,	4,	6,	5,	3,	5,	o,	6,
3,	4,	2,	4,	5,	6,	3,	1,	2,	3.

SB-0006]    4    [1000]

Attachment: veer-narmad-south-gujarat-university-2011-b-a--27998-1.pdf

Earning:   Approval pending.