This question asks us to analyze data from a table showing the production of bikes and trucks by five different companies. We need to calculate two specific values, A1 and A2, based on the data and then find the ratio A2/A1.

Calculating A1: Difference in Total Production

A1 is defined as the difference between the total production of bikes and trucks by all five companies (D, E, F, G, H).

First, let's calculate the total bike production by all companies:

Total Bike Production = Production by D + Production by E + Production by F + Production by G + Production by H

Total Bike Production = \(700 + 450 + 500 + 250 + 300\)

Total Bike Production = \(2200\)

Next, let's calculate the total truck production by all companies:

Total Truck Production = Production by D + Production by E + Production by F + Production by G + Production by H

Total Truck Production = \(500 + 300 + 200 + 600 + 650\)

Total Truck Production = \(2250\)

Now, we find the difference between the total production of bikes and trucks:

A1 = |Total Bike Production - Total Truck Production|

A1 = \(|2200 - 2250|\)

A1 = \(|-50|\)

A1 = \(50\)

So, the value of A1 is 50.

Calculating A2: Average Bike Production by D, F, and H

A2 is defined as the average production of bikes by company D, company F, and company H.

Bike production for company D = 700

Bike production for company F = 500

Bike production for company H = 300

To find the average, we sum the bike production for these three companies and divide by 3:

A2 = (Bike Production by D + Bike Production by F + Bike Production by H) / 3

A2 = \((700 + 500 + 300) / 3\)

A2 = \(1500 / 3\)

A2 = \(500\)

So, the value of A2 is 500.

Calculating the Value of (A2/A1)

Finally, we need to find the value of the ratio (A2/A1).

We have A1 = 50 and A2 = 500.

Ratio = A2 / A1

Ratio = \(500 / 50\)

Ratio = \(10\)

The value of (A2/A1) is 10.

Revision Table: Bike and Truck Production Analysis

Additional Information: Understanding Averages and Differences

This problem uses fundamental concepts in data analysis: calculating sums, differences, and averages from a dataset presented in a table. Understanding how to extract specific data points and perform calculations accurately is key to solving such problems.

• Sum: Adding up all values in a specific category (like total bike production).
• Difference: Subtracting one value from another. The absolute difference is often used when the order doesn't matter, ensuring the result is positive.
• Average: The sum of a set of values divided by the number of values. It gives a central or typical value for the set.
• Ratio: A comparison of two numbers by division, showing how many times one value is contained within the other.

Data interpretation questions often require combining these basic calculations based on the specific definitions provided for variables like A1 and A2.