Directions : Study the given table carefully and answer the questions that follow : Number of candidates appeared and qualified for a test (in hundreds) in 6 different years from 5 different zones. (Bank P.O., 2011) | Year | P App. | P Qual. | Q App. | Q Qual. | R App. | R Qual. | S App. | S Qual. | T App. | T Qual. | |---|---|---|---|---|---|---|---|---|---|---| | 2005 | 3.2 | 2.5 | 3.5 | 1.4 | 3.8 | 2.2 | 4.2 | 2.4 | 6.2 | 2.6 | | 2006 | 4.6 | 3.4 | 6.9 | 4.2 | 6.9 | 4.4 | 7.4 | 3.3 | 6.2 | 4.8 | | 2007 | 6.5 | 4.9 | 7.7 | 4.5 | 5.9 | 4.8 | 8.3 | 5.6 | 6.4 | 4.2 | | 2008 | 7.4 | 5.7 | 5.4 | 3.4 | 7.2 | 3.2 | 9.3 | 6.4 | 7.8 | 6.2 | | 2009 | 8.8 | 4.8 | 6.6 | 5.2 | 8.6 | 6.8 | 11.4 | 5.2 | 9.9 | 6.9 | | 2010 | 9.2 | 5.6 | 10.6 | 6.4 | 10.3 | 7.4 | 14.2 | 11.4 | 11.8 | 9.4 | Note: Here App. means Appeared and Qual. means Qualified. What was the average number of candidates appeared from zone T over all the years together ?

### Concept & Averages The average of a set of values is the sum of the values divided by the total number of values. Note that the table data is given "in hundreds," so the final sum must be multiplied by 100 before averaging (or the final average multiplied by 100). $$ \text{Average} = \frac{\text{Sum of Observations}}{\text{Number of Observations}} $$ ### Step-by-Step Solution 1. **Extract Data:** The appeared candidates from zone T for the years 2005 to 2010 are: $6.2, 6.2, 6.4, 7.8, 9.9, 11.8$. 2. **Calculate Sum:** $$ 6.2 + 6.2 + 6.4 + 7.8 + 9.9 + 11.8 = 48.3 $$ 3. **Convert to Actual Numbers:** Since the units are in hundreds, total candidates = $48.3 \times 100 = 4830$. 4. **Calculate Average:** Divide the total by the number of years (6). $$ \frac{4830}{6} = 805 $$ ### Exam Strategy & Shortcut Instead of summing decimals, you can sum them mentally by grouping: $(6.2 + 7.8) = 14.0$, $(6.2 + 11.8) = 18.0$, $(6.4 + 9.9) = 16.3$. Sum $= 14 + 18 + 16.3 = 48.3$. Dividing $48.3$ by $6$ gives $8.05$. Multiply by $100$ at the very end to get $805$. ### Common Pitfall Forgetting to account for the "in hundreds" note in the directions. Calculating $48.3 / 6 = 8.05$ and assuming the options are completely wrong, or guessing incorrectly. ### Final Answer Therefore, the correct answer is **805**.