Loyola College B.Sc. Statistics April 2008 Statistical Methods Question Paper PDF Download

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – STATISTICS

NO 1

 

FIRST SEMESTER – APRIL 2008

ST 1500 – STATISTICAL METHODS

 

 

 

Date : 03/05/2008                Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

PART – A

                                                                                    (10 x 2 = 20 marks)

Answer ALL the questions.

 

  1. Distinguish between Census and sample.
  2. State the objectives of classification of data.
  3. Why do we call Arithmetic mean is a good average?
  4. When do you say a distribution is skewed? Sketch positive and negative skew ness.
  5. What is curve fitting?
  6. Write down the normal equations for fitting .
  7. If for two variable X and Y, correlation coefficient

find the regression co efficient of X onY.

  1. If two regression lines are  and  for two variables X and Y, find the mean values of X and Y.
  2. In a report on consumers preference, it was given that out of 500 persons surveyed 410 preferred variety A, 380 preferred variety B and 270 persons liked both. Are the data consistent?
  3. State any two characteristics of Yule’s coefficient of Association.

 

PART – B

                                                                                                (5 x 8 = 40 marks)                 

Answer any 5 questions.      

 

  1. Draw  ogive curves for the data given below:
Draw Sales

(Rs.000)

10-20 20-30 30-40 40-50 50-60 60-70 70-80
No. of Shops 3 6 10 15 8 4 2

 

  1. Distinguish between Classification and Tabulation.

 

  1. Calculate Karl Pearson’s Co efficient of Skewness for the data given below. On the basis of mean, median and standard deviation.
Wages: 5 6 7 8 9 10 11 12
Workers: 25 45 65 100 30 75 40 50

 

  1. Bring out the relationship between to the following data:
x: 0 1 2 3 4
y: 1 1.8 1.3 2.5 2.3

 

  1. Fit a parabola of second degree to the following data
x: 0 1 2 3 4
y: 1 1.8 1.3 2.5 2.3

 

  1. What do you understand by regression? Why there are two regression equations? What are its uses?
  2. From the following data, calculate the coefficient of rank correlation between X and Y
X: 36 56 20 65 42 33 44 50 15 60
Y: 50 35 70 25 58 75 60 45 80 38

 

  1. 1660 candidates appeared for a competitive examination. 422 were successful, 256 had attended a coaching class, and of these 150 came out successful. Estimate the utility of the coaching classes.

 

PART – C

                                                (2 x 20 = 40 marks)

Answer any TWO questions.

 

  1. a) Calculate mean deviation from median from the following data.
Class Interval: 20-25 25-30 30-40 40-45 45-50 50-55
Frequency: 6 12 17 30 10 10

 

Class Interval: 55-60 60-70 70-80
Frequency: 8 5 2

 

  1. b) From the prices of shares X and Y given below, state which share is more stable in value

 

  1.  It is known that the readings for x and y given below should follow a law of the form , where a and b are constants
x: 1 2 3 4 5 6 7 8
y: 5.43 6.28 8.23 10.32 12.63 14.86 17.27 19.51

use the method of least squares to find the best values of a and b.

 

  1. Calculate and from the data given below
Marks: 0-10 10-20 20-30 30-40 40-50 50-60 60-70
No. of Students: 8 12 20 30 15 10 5

 

  1. Calculate the two regression equations Y on X and X on Y and correlation coefficient     .
Price (Rs): 10 12 13 12 16 15
Amount

Demanded

40 38 43 45 37 43

Also estimate the likely demand when the price is Rs.20.

 

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