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Ogive Sales

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Ogive Sales


1. **State the problem:** We are given sales data grouped into intervals with the number of sales staff in each interval. We need to present this data as an Ogive, which is a cumulative frequency graph. 2. **List the data:** - £5,000-£9,999: 2 - £10,000-£14,999: 18 - £15,000-£19,999: 24 - £20,000-£24,999: 12 - £25,000-£29,999: 9 - £30,000-£34,999: 5 - £35,000-£39,999: 2 - £40,000-£44,999: 1 3. **Calculate cumulative frequencies:** - Up to £9,999: 2 - Up to £14,999: 2 + 18 = 20 - Up to £19,999: 20 + 24 = 44 - Up to £24,999: 44 + 12 = 56 - Up to £29,999: 56 + 9 = 65 - Up to £34,999: 65 + 5 = 70 - Up to £39,999: 70 + 2 = 72 - Up to £44,999: 72 + 1 = 73 4. **Identify class boundaries for the Ogive:** - 4999.5 (lower boundary before first class) - 9999.5 - 14999.5 - 19999.5 - 24999.5 - 29999.5 - 34999.5 - 39999.5 - 44999.5 5. **Plot points for the Ogive:** - (4999.5, 0) start at zero cumulative frequency before first class - (9999.5, 2) - (14999.5, 20) - (19999.5, 44) - (24999.5, 56) - (29999.5, 65) - (34999.5, 70) - (39999.5, 72) - (44999.5, 73) 6. **Interpretation:** The Ogive is a smooth curve connecting these points, showing cumulative frequency increasing with sales amount. **Final answer:** The Ogive is constructed by plotting cumulative frequencies against the upper class boundaries and connecting these points with a smooth curve starting at zero before the first class boundary.