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.