Statistics I207810 marksNumerical: dispersion and coefficient of variationMeasures of dispersion
What are different methods of measuring dispersion? Sample of polythene bags from two manufacturers, A, B, are tested by a prospective buyer for bursting pressure and the results are as follows. Which set of bags has more uniform pressure? If prices are the same, which manufacturer's bags would be p
What are different methods of measuring dispersion?
Sample of polythene bags from two manufacturers, A, B, are tested by a prospective buyer for bursting pressure and the results are as follows. Which set of bags has more uniform pressure? If prices are the same, which manufacturer's bags would be preferred by buyer? Use appropriate statistical tool.
| Bursting Pressure | 5-10 | 10-15 | 15-20 | 20-25 | 25-30 | 30-35 |
|---|---|---|---|---|---|---|
| A | 2 | 9 | 29 | 54 | 11 | 5 |
| B | 9 | 11 | 18 | 32 | 27 | 13 |
[10]
Bursting Pressure Mid-value $x$ $fA$ $fB$ :---::---::---::---: 5-10 7.5 2 9 10-15 12.5 9 11 15-20 17.5 29 18 20-25 22.5 54 32 25-30 27.5 11 27 30-35 32.5 5 13 $\sum fA = 110$, $\sum fB = 110$ --- Absolute Measures - Range: $R = L - S$ - Quartile Deviation: $QD = \dfrac{Q3 - Q1}{2}$ - Mean Deviati...