Analyzing Bike Production Data

The question asks us to analyze the bike production data provided in a table for two companies, A and B, over six years (P, Q, R, S, T, U). We need to calculate two values, J1 and J2, based on this data and then find the ratio (J1/J2).

Let's first understand what J1 and J2 represent:

• J1 is the average production of bikes by company A in years P, Q, R, and S.
• J2 is the average production of bikes by company B in years T and U.

Calculating J1: Average Production for Company A

To find the average production of company A in years P, Q, R, and S, we need to sum the production values for company A in these specific years and divide by the number of years involved.

• Production by A in Year P = 300
• Production by A in Year Q = 150
• Production by A in Year R = 250
• Production by A in Year S = 500

Sum of production by A in years P, Q, R, S:

\( \text{Sum} = 300 + 150 + 250 + 500 = 1200 \)

Number of years = 4 (P, Q, R, S)

Now, calculate J1:

\( \text{J1} = \frac{\text{Sum}}{\text{Number of years}} = \frac{1200}{4} = 300 \)

So, the value of J1 is 300.

Calculating J2: Average Production for Company B

Next, we need to find the average production of company B in years T and U. We sum the production values for company B in these years and divide by the number of years.

• Production by B in Year T = 50
• Production by B in Year U = 150

Sum of production by B in years T, U:

\( \text{Sum} = 50 + 150 = 200 \)

Number of years = 2 (T, U)

Now, calculate J2:

\( \text{J2} = \frac{\text{Sum}}{\text{Number of years}} = \frac{200}{2} = 100 \)

So, the value of J2 is 100.

Final Calculation: J1 divided by J2

The question asks for the value of (J1/J2).

\( \frac{\text{J1}}{\text{J2}} = \frac{300}{100} \)

\( \frac{\text{J1}}{\text{J2}} = 3 \)

The value of (J1/J2) is 3.

Understanding Average in Data Analysis

The average (or mean) is a common measure used in data analysis. It gives us a central value for a set of numbers. Calculating the average helps in summarizing data and making comparisons. In this problem, calculating the average bike production allows us to represent the typical production level for a specific company over certain periods.

Revision Table: Key Values

Additional Information on Data Interpretation

Data interpretation questions like this one test your ability to extract information from tables, graphs, or charts and use it to perform calculations or answer specific questions. Key skills required include careful reading of the question, accurate data extraction, and correct application of mathematical concepts such as averages and ratios. Practicing different types of data representation (tables, bar graphs, pie charts, line graphs) and various calculations (percentage, ratio, average, change) is crucial for mastering data interpretation.