Total No. of Pages: 2 8054 Register Number: Name of the Candidate:

DIPLOMA EXAMINATION, December 2014

(QUALITY MANAGEMENT)

120: FUNDAMENTALS OF STATISTICS AND COSTING

Time: Three hours Maximum: 100marks

Answer ONE question from each unit All questions carry equal marks (520=100)

UNIT-I

1. a) Explain the measures of central tendency. (10)

b) Obtain mean , median and mode for the subsequent data.

65,85,70,75,65,60,65,55,55

(10)

2. a) Draw the histogram for the subsequent data:

0-100 100-200 200-300 300-400 400-500 500-600

14 45 36 51 42 33

(10)

b) Write short notes on grouped and ungrouped data. (10)

UNIT-II

3. a) From a pack of 52 cards , a card is drawn . What is the probability of drawing a card 6?

(10)

b) The mean and variance of a normal distribution are 48 and 24 respectively. Find P{x>50} and P(35

2

8054 UNIT-IV

7. a) Describe the steps involved in the construction of break-even chart? Enumerate its advantages.

(10)

b) P/V ration of a company is 40% and its margin of safety is 50%. Determine net profit and break even point for a sale of Rs.18,00,000.00

(10)

8. a) A manufacturer sells his product at Rs.3.5 each. Variable costs are Rs.4.5 per unit and the fixed costs amount to Rs.50,000. i)Compute the break-even point ii) What would be the profit if the firm sells 45,000 unit? iii) What would be the BEP if the firm spends Rs.6,000 on advertising?

(10)

b) Explain how to construct a profit-volume chart. (10)

UNIT-V

9. a) Explain the terms: i) Cost types. ii) Elements of costs.

(10)

b) Explain activity based costing with an example. (10)

10. a) Explain the subsequent: i) Process-costing ii) Product and by product costing.

(10)

b) Explain the subsequent: i) Batch costing ii) Job costing

(10)

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