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The question asks for the difference between the **average production per year** of the company with the **highest average production** and the company with the **lowest average production**.

We are provided with a bar graph that shows the production of tyres (in lakhs) by three companies (X, Y, Z) over five years (2010–2014). Here's how to solve this:

1. **Extract Data from the Graph:**
   - From the graph, we can see the production values for each company:
     - **2010**: X = 55, Y = 45, Z = 40
     - **2011**: X = 60, Y = 50, Z = 45
     - **2012**: X = 60, Y = 50, Z = 50
     - **2013**: X = 60, Y = 55, Z = 45
     - **2014**: X = 50, Y = 50, Z = 45

2. **Calculate the Average Production for Each Company:**
   - **Company X**: 
     \[
     \frac{55 + 60 + 60 + 60 + 50}{5} = \frac{285}{5} = 57
     \]
   - **Company Y**: 
     \[
     \frac{45 + 50 + 50 + 55 + 50}{5} = \frac{250}{5} = 50
     \]
   - **Company Z**: 
     \[
     \frac{40 + 45 + 50 + 45 + 45}{5} = \frac{225}{5} = 45
     \]

3. **Find the Difference Between the Highest and Lowest Average:**
   - The highest average is for **Company X** (57 lakhs).
   - The lowest average is for **Company Z** (45 lakhs).
   - The difference is:
     \[
     57 - 45 = 12 \text{ lakhs}
     \]

4. **Answer the Question:**
   - The difference between the highest and lowest average production is **12 lakhs**.

However, based on the options provided in the image, it seems they are asking about a difference of **4 lakhs**, which might suggest they were looking at the difference between the companies with the closest averages, or there was an interpretation error in the question. However, based on the correct mathematical approach, the difference between the highest and lowest averages is **12 lakhs**.

Would you like more details or have any questions?

### Follow-up Questions:
1. What would the average production for each company look like if we considered a different period?
2. How would the difference change if production for Company X or Z fluctuated more?
3. How does the performance trend of Company Y compare with the other two?
4. What is the cumulative production for all three companies over the 5 years?
5. Can you calculate the percentage difference between the highest and lowest average productions?

**Tip:** When interpreting graphs, ensure you extract the exact numerical values and average them accurately to avoid common pitfalls in word problems.

What is the difference between the average production per year of the company with the highest average production and that of the company with the lowest average production in Lakhs?

Find the difference between the highest and lowest average tyre production by companies X, Y, and Z over the years 2010-2014. Learn how to calculate averages and interpret bar graphs with a detailed step-by-step solution.

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