Directions: Study the following bar-graph carefully and answer the questions given below:
In how many years was the export above average for the given period?
Aptitude
Statistics
Difficulty: Easy
Choose an option
-
A2
-
B4
-
C5
-
D3
Answer
Correct Answer: 4
Explanation
### Concept & Logic
First, determine the overall average for the given period. Then, count the number of data points (years) that have a value strictly greater than that average.
### Step-by-Step Solution
* **Find the Average:** From the first question, we calculated the total export to be $61.1$ crores over 7 years.
* $\text{Average} = \frac{61.1}{7} \approx 8.73 \text{ crores}$.
* **Compare each year to the average:**
- 2001: $5.2 < 8.73$
- 2002: $6.5 < 8.73$
- 2003: $7.8 < 8.73$
- 2004: $9.9 > 8.73$ (Above)
- 2005: $10.8 > 8.73$ (Above)
- 2006: $9.5 > 8.73$ (Above)
- 2007: $11.4 > 8.73$ (Above)
* **Count:** There are exactly 4 years (2004, 2005, 2006, 2007) where the export is greater than the average.
### Exam Strategy & Shortcut
If you've already calculated the average in a previous question of the set, reuse that value! Simply scan the bar graph for bars crossing the imaginary line at $y = 8.73$.
### Common Pitfall
Forgetting the exact average or recalculating it and making an arithmetic error. Always write down intermediate values like the average when doing set-based questions.
### Final Answer
Therefore, the correct answer is **4**.