The table shows the numbers of cases of Corona Virus registered in Uganda between March, 2020 and June, 2021. Draw a frequency distribution table, a graph of cumulative frequencies, and estimate the median.

Step 1: Determine the total number of cases. Add the frequencies: 14 + 15 + 20 + 14 + 9 + 5 + 2 + 1 + 1 = 81 Total cases, N = 81. Step 2: Identify the median position. The median is the (N+1)/(2)th value: (81 + 1)/(2) = 41 The 41st case. Step 3: Construct the cumulative frequency (cf) table using upper class boundaries. Classes: 0-9, 10-19, 20-29, 30-39, 40-49, 50-59, 60-69, 70-79, 80+. Upper boundaries: 10, 20, 30, 40, 50, 60, 70, 80, 90. c|c|c Class & f & cf \\ 0-9 & 14 & 14 \\ 10-19 & 15 & 29 \\ 20-29 & 20 & 49 \\ 30-39 & 14 & 63 \\ 40-49 & 9 & 72 \\ 50-59 & 5 & 77 \\ 60-69 & 2 & 79 \\ 70-79 & 1 & 80 \\ 80+ & 1 & 81 \\ Step 4: Draw the cumulative frequency polygon (ogive). Plot points: (10,14), (20,29), (30,49), (40,63), (50,72), (60,77), (70,79), (80,80), (90,81). Join with straight lines. Step 5: Locate the median on the graph. Draw horizontal line at cf = 41. It intersects the line segment from (20, 29) to (30, 49). Step 6: Calculate the median value. Formula for intersection: x = L + M - cf_prev cf - cf_prev × w where L = 20 (upper boundary of previous class), M = 41 (median position), cf_prev = 29, cf - cf_prev = 49 - 29 = 20, w = 30 - 20 = 10 (class width). Substitute: x = 20 + (41 - 29)/(20) × 10 x = 20 + (12)/(20) × 10 x = 20 + 0.6 × 10 x = 20 + 6 = 26 (c) Explanation: The ogive is plotted with cumulative frequencies against upper class boundaries. The horizontal line at cf = 41 intersects the ogive between upper boundaries 20 and 30. The x-coordinate of the intersection gives the estimated median of 26 cases. 26