Analyzing Mobile Phone Distribution Data

The question asks for the ratio of mobile phones distributed to the low-income population in Bihar compared to the middle-income population in Kerala, based on the provided table showing state-wise and income-group distributions under the CONNECT Scheme.

Understanding the Data Table

The table provides the total number of mobile phones distributed in Lakhs for several states. It also shows the percentage distribution of these phones within each state among three income categories: High, Middle, and Low. The total number of mobile phones distributed across all states is given as 30 Lakhs. We need to use the state-specific data for Bihar and Kerala to find the required numbers for the ratio.

Step-by-Step Calculation for Bihar

First, let's focus on Bihar. We need to find the number of mobile phones distributed to the low-income group in Bihar.

• Total mobile phones distributed in Bihar: 3.4 Lakhs.
• Percentage of phones for High income in Bihar: 12%.
• Percentage of phones for Middle income in Bihar: 32%.
• The sum of percentages for High, Middle, and Low income within a state must be 100%. So, the percentage for Low income in Bihar is:

\[ \text{Low Income \% (Bihar)} = 100\% - \text{High Income \% (Bihar)} - \text{Middle Income \% (Bihar)} \]

\[ \text{Low Income \% (Bihar)} = 100\% - 12\% - 32\% = 100\% - 44\% = 56\% \]

• Now, calculate the number of phones for Low income people in Bihar:

\[ \text{Number of Phones (Low Income, Bihar)} = (\text{Low Income \% (Bihar)} / 100) \times \text{Total Phones (Bihar)} \]

\[ \text{Number of Phones (Low Income, Bihar)} = (56 / 100) \times 3.4 \text{ Lakhs} \]

\[ \text{Number of Phones (Low Income, Bihar)} = 0.56 \times 3.4 \text{ Lakhs} = 1.904 \text{ Lakhs} \]

Step-by-Step Calculation for Kerala

Next, let's focus on Kerala. We need to find the number of mobile phones distributed to the middle-income group in Kerala.

• Total mobile phones distributed in Kerala: 4.7 Lakhs.
• Percentage of phones for High income in Kerala: 15%.
• Percentage of phones for Low income in Kerala: 60%.
• The percentage for Middle income in Kerala is:

\[ \text{Middle Income \% (Kerala)} = 100\% - \text{High Income \% (Kerala)} - \text{Low Income \% (Kerala)} \]

\[ \text{Middle Income \% (Kerala)} = 100\% - 15\% - 60\% = 100\% - 75\% = 25\% \]

• Now, calculate the number of phones for Middle income people in Kerala:

\[ \text{Number of Phones (Middle Income, Kerala)} = (\text{Middle Income \% (Kerala)} / 100) \times \text{Total Phones (Kerala)} \]

\[ \text{Number of Phones (Middle Income, Kerala)} = (25 / 100) \times 4.7 \text{ Lakhs} \]

\[ \text{Number of Phones (Middle Income, Kerala)} = 0.25 \times 4.7 \text{ Lakhs} = 1.175 \text{ Lakhs} \]

Calculating the Ratio

We need the ratio of the number of Mobile Phones in Low income people of Bihar to the Middle income people of Kerala.

\[ \text{Ratio} = \text{Number of Phones (Low Income, Bihar)} : \text{Number of Phones (Middle Income, Kerala)} \]

\[ \text{Ratio} = 1.904 : 1.175 \]

To express this ratio as whole numbers, we can multiply both sides by 1000 to remove the decimal points:

\[ \text{Ratio} = 1.904 \times 1000 : 1.175 \times 1000 \]

\[ \text{Ratio} = 1904 : 1175 \]

We check if this ratio can be simplified. The prime factors of 1904 are \(2^4 \times 7 \times 17\). The prime factors of 1175 are \(5^2 \times 47\). Since there are no common prime factors, the ratio \(1904 : 1175\) is in its simplest form.

Conclusion

The ratio of distribution of Mobile Phones in Low income people of Bihar to the Middle income people of Kerala is 1904 : 1175.

Revision Table: Key Data Points and Calculations

Additional Information on Data Interpretation

Data interpretation questions often involve analyzing tables, charts, or graphs to extract relevant information and perform calculations. Key skills required include:

• Carefully reading the question to understand exactly what is being asked.
• Identifying the specific data points needed from the table or chart.
• Understanding percentages and how to calculate actual values from percentages and totals.
• Calculating ratios or proportions between different quantities.
• Being able to handle missing values (marked as '-') by using relationships within the data (like percentages summing to 100%).
• Performing arithmetic operations accurately.
• Simplifying ratios to their lowest terms when necessary.

Practicing with different types of data representations helps in improving data interpretation skills for exams like those involving the CONNECT Scheme data.