Aligarh Muslim University (AMU) 2007-1st Year B.B.A - STATISTICS( , Aligarh, ) - Question Paper

1. describe median. discuss its merits and demerits.

2. What is time series analysis? discuss it's importance in business.

3. obtain the value of mode from the subsequent data
Weight (kg) : 93–97 98–102 103–107 108–112
No. of students : two five 12 17
Weight (kg) : 113–117 118–122 123–127 128–132
No. of students : 14 six three 1

4. What is standard deviation? discuss the importance of it.

5. compute three yearly moving averages of the production figures provided beneath.
Year : 1995 1996 1997 1998 1999 2000 2001
Production (in tonnes) : 224 213 202 215 222 244 236

6. calculate Quartile deviation and it's co-efficient from the subsequent data.
Life expectancy (in months) : 79 43 40 34 42 41
No. of patients : four seven 15 eight seven 2

7. What is skewness? discuss the different methods used to measure it?

PART B — (4 * 15 = 60 marks)
ans any 4 ques..

8. obtain the missing frequency from the subsequent data :
Marks : 0–10 10–20 20–30 30–40 40–50 50–60
No. of students : five 15 20 ? 20 10
The arithmetic mean is 34 marks.

9. obtain Karl Pearson's co-efficient of correlation from the subsequent data :
Wages (Rs.) : 100 101 102 102 100 99 97 98 96 95
Cost of residing : 98 99 99 97 95 92 95 94 90 91

10. What is moving average? elaborate its uses in time series?

11. obtain out the co-efficient of mean deviation from the subsequent data :
Age (in years) : 0–10 10–20 20–30 30–40 40–50 50–60 60–70 70–80
No of persons : 20 25 32 40 42 35 10 8

12. There were 500 workers working in a factory. Their mean wage was computed as Rs. 200. Later on it was discovered that the wages of 2 workers were misread as Rs. 180 and Rs. 20 in place of Rs. 80 and Rs. 220.
obtain out the accurate avg. wage.

13. From the subsequent info compute Karl Pearson's co-efficient of skewness and also Quartile co-efficient of skewness.
Measures Place A Place B
Mean 256.5 240.8
Median 201.0 201.6
Standard deviation 215.4 181.1
3rd quartile 260.0 242.0
1st quartile 157.0 164.2

14. The subsequent data is found from inquiries into the budget of the middle class families of a city.
Percentage of expenditure Group price 2000 Index number 2001
Food 35 350 440
Fuel and lighting 10 220 330
Clothing 20 230 440
Rent 15 160 105
Miscellaneous 20 190 340
What modifications are in the level of cost of residing of 2001, compared to that of 2000?

Earning:   Approval pending.