Anna University Chennai 2006 B.B.A  Question Paper
Ill Find the rank correlation coefficient for the following data.
X: 92 89 87 86 86 77 71 63 53 50
Y: 86 83 91 77 68 85 52 82 37 57
12. Calculate  Laspeyre's Index number, Paasche's price index number and MarshallEdge worth index for the following data.
1980 1981
Commodity Price (in Rs) Qty (in kgs) Price (in Rs) Quantity (in kga)  

B.B.A. DEGREE EXAMINATION  JANUARY, 2006. (For AY 2004  05 and CY 2005 students)
First Year
Time; 3 hours
Maximum marks : 75
PART A (3x5 = 15 marks) Answer any THREE questions. Each question carries equal marks.
1. Explain what is meant by central tendency of data. What are the common measures of central tendency?
2. What amount lent at 10% p.a compound interest will fetch Rs. 630/ as interest in 2 years?
4 7 18 
3.
2 3 6 5j Find 2A + 3B and 3A  2B.
4. Calculate the mean number of persons per house No.of persons per house: 2 3 4 5 6
5. What is meant by time series? What are the various components of the time series?
PART B (4 x 15 = 60 marks)
Answer any FOUR questions.
Each question carries equal marks.
6. Explain the terms  Primary data and secondary data. State the various methods of collecting primary data.
( 5 42
Show that A. Satisfies
7. (a) If A =
4 52 2 2 2
the equation (A 10 I) (A 1) = 0 Hence find A^{3}.
(b) Out of a group of 50 teachers in a high school, 30 teach mathematics, 20 teach English and 25 teach science 10 teach both mathematics and science, and none teach mathematics and English.
(i) How many teach science and English
(ii) How many teach only English.
8. (a) The difference between the compound interest and the simple interest for 3 years at 5% p.a on a certain sum of money was Rs. 610. Find the sum.
(b) A sum of Rs. 50,440 is borrowed to be paid back in three yearly equal instalments. What is the annual instalment if the rate of interest is 5% per annum compounded annually?
9. (a) If _{x}y=e* ^{y}, prove that _{g}
dx (1+logx)
(b) Find the maximum and minimum values of 2x^{3}3x^{2}36x+10.
10. (a) Find the mean, median and mode for the following data.
72 41 60 100 98 81 97 40 54 65 83 1 40 32 50
63 15 19 82 100 75 40 56 24 43 40 76 62 21 57
40 56 41 45 53 61 66 77 54 73 27 48 49 85 46
(b) Goals scored by two teams A and B in a series of football matches were observed as follows.
No. of Goals scored in a match No. of matches Team A Team B
0 5 4
1 7 5
2 5 5
3 3 4
4 2 3
5 3 3
Which team, A or B, may be considered as a more consistent team?
3 2349
Attachment: 
Earning: Approval pending. 