B.B.A-BBA 1st Year STATISTICS%28Aligarh Muslim University %28AMU%29%2C Aligarh%2C Uttar Pradesh-2007%29

1. Define median. Explain its merits and demerits.

2. What is time series analysis? Explain it’s importance in business.

3. Find the value of mode from the following data
Weight (kg) : 93–97 98–102 103–107 108–112
No. of students : 2 5 12 17
Weight (kg) : 113–117 118–122 123–127 128–132
No. of students : 14 6 3 1

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

5. Calculate 3 yearly moving averages of the production figures given below.
Year : 1995 1996 1997 1998 1999 2000 2001
Production (in tonnes) : 224 213 202 215 222 244 236

6. Compute Quartile deviation and it’s co-efficient from the following data.
Life expectancy (in months) : 79 43 40 34 42 41
No. of patients : 4 7 15 8 7 2

7. What is skewness? Explain the various methods used to measure it?

PART B — (4 * 15 = 60 marks)
Answer any FOUR questions.

8. Find the missing frequency from the following data :
Marks : 0–10 10–20 20–30 30–40 40–50 50–60
No. of students : 5 15 20 ? 20 10
The arithmetic mean is 34 marks.

9. Find Karl Pearson’s co-efficient of correlation from the following data :
Wages (Rs.) : 100 101 102 102 100 99 97 98 96 95
Cost of living : 98 99 99 97 95 92 95 94 90 91

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

11. Find out the co-efficient of mean deviation from the following 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 calculated as Rs. 200. Later on it was discovered that the wages of two workers were misread as Rs. 180 and Rs. 20 in place of Rs. 80 and Rs. 220.
Find out the correct average wage.

13. From the following information calculate 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
Third quartile 260.0 242.0
First quartile 157.0 164.2

14. The following data is obtained 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 changes are in the level of cost of living of 2001, compared to that of 2000?