By J. Hayavadana
Facts for fabric and clothing administration bargains with the basic rules of statistical equipment and their purposes in fabric construction. this can be in fibre, yarn or textile manufacture and throughout any of the allied procedures corresponding to dyeing, printing and completing. This e-book is a perfect reference for fabric technologists and scholars
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003 The weight of fourth number is 2 Example: Find the average rate of increase in % utilisation of travelers in a R/F section. Which in the first month was 20%, second month was 30% and in the third month was by 40%? 7% per month. 6. 4. Apply appropriate correction and calculate the correct geometric mean. 54 Measures of central tendency 55 On weighted average: Example: Satish started from a place ‘X’ to a village Y which is at a distance of 6 km. He first traveled by his car at 40 km and covered 4 km.
Combination of mean Arithmetic mean and number of items of two or more means of related groups can be computed to get a combined average. This can be obtained by using the below formula. X12 = N1 X1 + N2 X 2 N1 + N 2 Where X12 = combined mean of two groups X1 =} X2 =} mean of 1 st and 2nd group N1 and N2 are number of items of 1st and 2 nd groups. 4 Properties of geometric mean 1. The product of the values of series will remain unchanged when the value of GM is substituted for each individual value.
Easy to understand – As the statistical methods are designed to simplify complexity, it is desirable that an average should be easily understandable, otherwise its use will be limited. 2. Simple to compute – The average should also be easy to compute. 3. It should be based on all items – The average should depend upon each and every item of the series so that if an item is dropped the average should also get altered. For example, the arithmetic mean of 10, 20, 30, 40 and 50 is 10 + 20 + 30 + 40 + 50 = 30 5 If we drop an item say 50, the arithmetic mean will be 25.