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statistics and application, Exams of Statistics

University of MadrasStatistics

statistics and application for university of madras exam

Typology: Exams

2017/2018

Uploaded on 10/02/2018

hemavathi-j
hemavathi-j 🇮🇳

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APRIL 2015 61752/SBAOC
Time : Three hours Maximum : 75 marks
SECTION A — (10 2 = 20 marks)
Answer any TEN questions.
1. State any two functions of statistics.
¦Òΰ¯¼ß H÷uÝ® Cμsk ö\¯À£õkPøÍ TÖP.
2. Define classification.
£õS£õmiøÚ Áøμ¯Ö.
3. What is a frequency curve?
Aø»öÁs ÁøÍ÷Põk GßÓõÀ GßÚ?
4. What is a simple random sample?
Gί \©Áõ´¨¦ TÖ GßÓõÀ GßÚ?
5. Define a population.
•ÊöuõSv°øÚ Áøμ¯Ö.
6. Mention the uses of standard error.
vmh¨¤øÇ°ß E£÷¯õP[PøÍ uμÄ®.
7. Define a mode.
•PmiøÚ Áøμ¯Ö.
8. What is standard deviation?
vmh»UP® GßÓõÀ GßÚ?
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APRIL 2015 61752/SBAOC

Time : Three hours Maximum : 75 marks

SECTION A — (10  2 = 20 marks) Answer any TEN questions.

  1. State any two functions of statistics.

¦Òΰ¯¼ß H÷uÝ® Cμsk ö\¯À£õkPøÍ TÖP.

  1. Define classification.

£õS£õmiøÚ Áøμ¯Ö.

  1. What is a frequency curve?

Aø»öÁs ÁøÍ÷Põk GßÓõÀ GßÚ?

  1. What is a simple random sample?

Gί \©Áõ´¨¦ TÖ GßÓõÀ GßÚ?

  1. Define a population.

•ÊöuõSv°øÚ Áøμ¯Ö.

  1. Mention the uses of standard error.

vmh¨¤øÇ°ß E£÷¯õP[PøÍ uμÄ®.

  1. Define a mode.

•PmiøÚ Áøμ¯Ö.

  1. What is standard deviation?

vmh»UP® GßÓõÀ GßÚ?

  1. What is probability?

{PÌuPÄ GßÓõÀ GßÚ?

  1. State addition theorem of probability.

{PÌuPÂß TmhÀ Âv°øÚ Áøμ¯Ö.

  1. Define correlation.

JmkÓÂøÚ Áøμ¯Ö.

  1. What is regression?

öuõhº¦ ÷£õUS GßÓõÀ GßÚ?

SECTION B — (5 × 5 = 25 marks)

Answer any FIVE questions.

  1. What are Ogive curves? Mention their uses.

KøPÆ ÁøÍ÷PõkPÒ GßÓõÀ GßÚ? Auß

E£÷¯õP[PøÍ TÖP.

  1. Describe Startified random sampling.

£køP μõsh® TØÔøÚ ÂÍUSP.

  1. Write short notes on measures of location.

ø©¯÷£õUS AÍøÁPøÍ £ØÔ J¸ ]ÖSÔ¨¦ ÁøμP.

  1. Write short notes on kurtosis.

umøh AÍøÁPøÍ £ØÔ ]ÖSÔ¨¦ ÁøμP.

  1. What is a simple random sampling? Explain the methods of selecting a simple random sample.

Gί \©Áõ´¨¦ TÖ GßÓõÀ GßÚ? CuøÚ ÷uºÄ

ö\´²® •øÓPøÍ ÂÁ›.

  1. Find the Karl Pearson’s measure of skewness for the following data : x : 20-30 30-40 40-50 50-60 60-70 70-80 80- f : 3 61 132 153 140 51 2

R÷Ç öPõkUP¨£mkÒÍ ¦ÒÎÂÁμzvØS PõºÀ

¤¯º\Ûß ÷PõmhU öPÊÂøÚ PõnÄ®.

x : 20-30 30-40 40-50 50-60 60-70 70-80 80- f : 3 61 132 153 140 51 2

  1. State and prove Bay’s theorem.

÷£¯ì ÷uØÓzøu TÔ {¹¤.

  1. Obtain the two regression lines an estimate the value of X when Y  70 for the following data : X : 65 66 67 67 68 69 70 72 Y : 67 68 65 68 72 72 69 71

R÷Ç öPõkUP¨£mkÍÍ ¦ÒÎ ÂÁμzvØS Cμsk

öuõhº¦ ÷PõkPøÍ PõnÄ®.÷©¾® Y Cß ©v¨¦ 70

BP C¸US®÷£õx X Cß ©v¨¤øÚU PõnÄ®.

X : 65 66 67 67 68 69 70 72

Y : 67 68 65 68 72 72 69 71