Directions: Study the table given below carefully and answer the questions that follow : Number of Athletes (In Hundred) Who Participated In a Sports Event From 5 Different Countries Over The Years M → Male & F → Female | Countries →
Years ↓ | A (M) | A (F) | B (M) | B (F) | C (M) | C (F) | D (M) | D (F) | E (M) | E (F) | | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | | **2005** | 4.4 | 3.3 | 6.3 | 4.2 | 4.5 | 3.1 | 5.6 | 4.1 | 4.7 | 2.1 | | **2006** | 6.6 | 4.2 | 8.4 | 6.2 | 6.9 | 3.3 | 8.4 | 6.3 | 7.8 | 5.2 | | **2007** | 4.6 | 1.8 | 7.4 | 4.8 | 4.8 | 2.8 | 9.3 | 7.3 | 8.7 | 6.5 | | **2008** | 9.6 | 4.9 | 11.4 | 8.4 | 6.6 | 4.2 | 12.6 | 9.4 | 8.9 | 5.8 | | **2009** | 11.8 | 6.4 | 10.6 | 5.2 | 7.9 | 6.3 | 14.4 | 10.2 | 11.8 | 9.2 | | **2010** | 8.2 | 5.2 | 6.4 | 7.2 | 10.8 | 6.9 | 15.6 | 12.1 | 13.6 | 9.8 | What was the average number of female athletes who participated from Country B over all the years together?

### Concept & Average Calculation To find the average number of female athletes from Country B across all years, sum the values in the "B (F)" column and divide by the total number of years (which is 6). $$ \text{Average} = \frac{\text{Sum of Observations}}{\text{Number of Observations}} $$ ### Step-by-Step Solution * Extract the data for Country B (Females) from 2005 to 2010: 2005: $4.2$ 2006: $6.2$ 2007: $4.8$ 2008: $8.4$ 2009: $5.2$ 2010: $7.2$ * Calculate the total sum: $4.2 + 6.2 + 4.8 + 8.4 + 5.2 + 7.2 = 36.0$ * Note that the table heading states the values are "In Hundred". Thus, total females $= 36.0 \times 100 = 3600$. * Calculate the average over the 6 years: $\text{Average} = \frac{3600}{6} = 600$ ### Exam Strategy & Shortcut When adding the decimals, you can group numbers that form whole integers to speed up calculation: $(4.2 + 4.8) + (6.2 + 5.2) + (8.4 + 7.2) = 9.0 + 11.4 + 15.6 = 36.0$. Immediately multiply by 100 (3600) and divide by 6 to get 600. ### Common Pitfall A frequent error is forgetting to multiply the final result (or the sum) by 100 as specified in the table's main header ("In Hundred"). This would lead to an incorrect answer of 6. Another common mistake is choosing 3600 (the total sum) instead of taking the average. ### Final Answer Therefore, the correct answer is **600**.