1. (a) What is the difference between a qualitative and quantitative variable?
[5 Marks]
(b) A town has 15 neighbourhoods. If you interviewed everyone living in one particular neighbourhood, would you be interviewing a population or a sample from the town? Would this be a random sample? If you had a list of everyone living in the town, called a frame, and you randomly selected 100 people from all neighbourhoods, would this a random sample? [5 Marks]
2. a) Explain the steps involved in planning of a statistical survey? [5 Marks]
b) What are the merits & Demerits of Direct personal observation and Indirect Oral Interview? [5 Marks]
3. a) Draw Ogives from the following data and measure the median value. Verify it by actual calculations. [5 Marks]
Central size | 5 | 15 | 25 | 35 | 45 |
Frequency | 5 | 11 | 21 | 16 | 10 |
b) Complete the following distribution, if its Median is 2,600 and compute the value of Arithmetic Mean. [5 Marks]
Size | 1000-1500 | 1500-2000 | 2000-2500 | 2500-3000 | 3000-4000 | 4000-5000 | 5000-6000 | Total |
Frequency | 120 | ? | 400 | 500 | ? | 50 | 20 | 1500 |
4. a) What is the main difference between correlation analysis and regression analysis? [5 Marks]
b) In a multiple regression model with 12 independent variables, what are the degrees of freedom for error? Explain? [5 Marks]
5. a) Discuss what is meant by Quality control and quality improvement.
[5 Marks]
b) What are the limitations of a quality control charts? [5 Marks]
6. a) Suggest a more suitable average in each of the following cases:
[5 Marks]
(i) Average size of ready-made garments.
(ii) Average marks of a student.
b) State the nature of symmetry in the following cases: [5 Marks]
(i) When median is greater than mean, and
(ii) When Mean is greater than median
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