Directions: Study the following bar-graph carefully and answer the questions given below:
The average export of pearls for the given period (in crores ₹) was
Aptitude
Statistics
Difficulty: Easy
Choose an option
-
A8.7
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B8.73
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C9.73
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D8.85
Answer
Correct Answer: 8.73
Explanation
### Concept & Formula
To find the average of a given set of numbers, we sum all the values and divide by the total count.
$$ \text{Average} = \frac{\text{Sum of all observations}}{\text{Number of observations}} $$
### Step-by-Step Solution
* **Total export from 2001 to 2007:**
$= 5.2 + 6.5 + 7.8 + 9.9 + 10.8 + 9.5 + 11.4$
$= 61.1 \text{ crores}$
* **Number of years:** 7
* **Average export:**
$= \frac{61.1}{7}$
$= 8.7285...$
* Rounding off to two decimal places, we get 8.73.
### Exam Strategy & Shortcut
Instead of adding everything directly, you can pick an assumed mean (like 9) and sum the deviations.
Deviations: $-3.8 -2.5 -1.2 +0.9 +1.8 +0.5 +2.4 = -1.9$
Average = $9 + (\frac{-1.9}{7}) = 9 - 0.27 = 8.73$.
### Common Pitfall
A common mistake is misaligning the decimal points while summing up the values, leading to an incorrect total. Always align decimals vertically when adding.
### Final Answer
Therefore, the correct answer is **8.73**.