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Statistics

TERM END EXAMINATIONS,MARCH-2013
BACHELOR OF COMMERCE, YEAR – III

ELEMENTARY STASTISTICS
Time: 3 hours M.Marks:60

SECTION A

Note: - Attempt any 4 questions.
All questions carry equal marks. (4 X 5)
The answer should be limited upto 200 words.

1) What is statistics? Explain the nature and limitations of statistics?

2) What is frequency distribution? What are the different types of frequency distribution?

3) What is frequency curve? Explain cumulative frequency curve with example?

4) Suppose mean of a series of 5 item is30.four values are respectively, 10, 15, 30 and 35.estimate the missing 5th value of the series.

ANSWER : Mean = (10+15+30+35+x)/5=30
Therefore, x=(30*50)-( 10+15+30+35) i.e x = 150-90, hence x=60

5) Calculate median of the following distribution of data.
Class interval | 0-5 | 5-10 | 10-20 | 20-30 | 30-50 | 50-70 | 70-100 | frequency | 12 | 15 | 25 | 40 | 42 | 14 | 8 |

n= 12+15+25+40+42+14+8=156

Hence median is at the average of n/2 & (n/2 +1) positon

i.e 78th & 79th position

Class interval | 0-5 | 5-10 | 10-20 | 20-30 | 30-50 | 50-70 | 70-100 | frequency | 12 | 15 | 25 | 40 | 42 | 14 | 8 |
Position 12 27 52 92 134 148 156

6) Calculate the coefficient of correlation between the age of husbands and wives:
Age of husband (yrs) | 21 | 22 | 28 | 32 | 35 | 36 |
Age of wives (yrs) | 18 | 20 | 25 | 30 | 31 | 32 |

SECTION B

Note: -All questions are compulsory. Each Question carries equal mark. (40 X 1)

1) If a statistical series is divided into four equal parts, the end value of each part is called a ……… a. Quartile b. Deciles c.…...

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