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Question

The following table shows the distribution of number (in Lakhs) of Mobile Phones in seven different states and percentage distribution of these Phones among three different categories of people of India (High/Middle/ Low income) under the CONNECT Scheme. Total Mobile Phones distributed are 30 Lakhs. Some values (marked as '-') are missing in the table which you are expected to calculate if required. Based on the data in the table, answer the question.

State-wise distribution of Mobile Phones

StateNumber of Mobile Phones Distributed (in lakhs)Distribution (%) of Mobile Phones among people with
High IncomeMiddle IncomeLow Income
M.P.6.515%-50%
Bihar3.412%32%-
U.P.2.58%13%-
Haryana5.2-25%-
Punjab-21%22%-
Assam4.2-9%78%
Kerala4.715%-60%

In Haryana state, the ratio of distribution (%) of Mobile phones among High income people to the Low income people is 2 ∶ 3, then the distribution of Mobile Phones among High income people in the same state is ________ more than that of among Middle income people.

The correct answer is

26000

Analyzing Mobile Phone Distribution Data

The question asks us to analyze data from a table showing the distribution of Mobile Phones under the CONNECT Scheme across different states and income groups. We need to find the difference in the number of phones distributed among High income people and Middle income people in Haryana, given a specific ratio for High and Low income percentages in that state.

State Number of Mobile Phones Distributed (in lakhs) Distribution (%) of Mobile Phones among people with High Income Distribution (%) of Mobile Phones among people with Middle Income Distribution (%) of Mobile Phones among people with Low Income
M.P. 6.5 15% - 50%
Bihar 3.4 12% 32% -
U.P. 2.5 8% 13% -
Haryana 5.2 - 25% -
Punjab - 21% 22% -
Assam 4.2 - 9% 78%
Kerala 4.7 15% - 60%

Step-by-Step Solution for Haryana Mobile Phone Distribution

We are focusing on the data for Haryana. The table gives us the total number of Mobile Phones distributed in Haryana and the percentage distributed among Middle income people.

  • Total Mobile Phones distributed in Haryana = 5.2 Lakhs.
  • Percentage distribution among Middle income people in Haryana = 25%.

We are also given that the ratio of distribution percentage among High income people to Low income people in Haryana is 2:3.

Calculating Income Group Percentages in Haryana

For any state, the distribution percentages among High, Middle, and Low income people must add up to 100%.

Let:

  • H% be the percentage for High income people in Haryana.
  • M% be the percentage for Middle income people in Haryana.
  • L% be the percentage for Low income people in Haryana.

We know M% = 25%.

So, H% + M% + L% = 100%

\(H\% + 25\% + L\% = 100\%\)

\(H\% + L\% = 100\% - 25\% = 75\%\)

We are given the ratio \(H\% : L\% = 2 : 3\).

The sum of the ratio parts is \(2 + 3 = 5\).

These 5 parts represent the remaining 75%.

Each ratio part represents \(\frac{75\%}{5} = 15\%\).

Now we can find H% and L%:

  • H% (High income) = \(2 \times 15\% = 30\%\).
  • L% (Low income) = \(3 \times 15\% = 45\%\).

Let's check: \(30\% + 25\% + 45\% = 100\%\). This is correct.

Calculating Number of Phones for Each Income Group in Haryana

The total number of phones in Haryana is 5.2 Lakhs, which is \(5.2 \times 100,000 = 520,000\) phones.

  • Number of phones for High income people = H% of total phones in Haryana
  • Number of phones for High income people = \(30\% \text{ of } 520,000\)
  • Number of phones for High income people = \(0.30 \times 520,000 = 156,000\).
  • Number of phones for Middle income people = M% of total phones in Haryana
  • Number of phones for Middle income people = \(25\% \text{ of } 520,000\)
  • Number of phones for Middle income people = \(0.25 \times 520,000 = 130,000\).

We are asked to find how many more phones were distributed among High income people than among Middle income people in Haryana.

Difference = (Number of phones for High income) - (Number of phones for Middle income)

Difference = \(156,000 - 130,000\)

Difference = \(26,000\).

So, the distribution of Mobile Phones among High income people in Haryana is 26,000 more than that among Middle income people.

Revision Table: Key Calculations for Haryana

Item Value Calculation/Source
Total Phones in Haryana 5.2 Lakhs (520,000) Given in table
Middle Income % 25% Given in table
Ratio High:Low % 2:3 Given in question
High + Low % 75% \(100\% - 25\%\)
Value of 1 Ratio Part 15% \(75\% / 5\)
High Income % 30% \(2 \times 15\%\)
Low Income % 45% \(3 \times 15\%\)
Phones for High Income 156,000 \(30\% \text{ of } 520,000\)
Phones for Middle Income 130,000 \(25\% \text{ of } 520,000\)
Difference (High - Middle) 26,000 \(156,000 - 130,000\)

Additional Information on Data Interpretation

Data interpretation questions often require careful reading of the table and the question. Here are some points to remember:

  • Always note the units (e.g., Lakhs in this case).
  • Pay attention to percentages and how they relate to the total or sub-totals.
  • Missing values (-) need to be calculated using the information provided in the table or question.
  • Ratios provide proportional relationships that can be used to find actual values or percentages.
  • The total percentage for categories within a group (like income levels within a state) usually adds up to 100%, unless specified otherwise.

Understanding these concepts helps in solving data analysis problems accurately and efficiently during exams like those involving the CONNECT Scheme data.

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Important Questions from Tabulation

  1. The table shows District-wise data of a number of primary school teachers posted in schools of a city.

    Study the table and answer the question:

    District

    Male teachers

    Female teachers

    East

    1650

    2375

    North

    1075

    2651

    West

    1280

    1520

    South

    1170

    1085

    Central

    690

    859


    What is the difference between the total number of male teachers in the districts East, North, West taken together and the total number of female teachers in the districts East and South?
  2. Table shows income (in Rs. ) received by 4 employees of a company during the month of December 2020 and all their income sources.

    Source

    Amit

    Suresh

    Nitin

    Varun

    Salary

    35000

    38500

    29000

    42000

    Arrears

    6000

    6300

    5000

    7500

    Bonus

    1000

    1100

    1000

    1240

    Overtime

    1800

    1950

    1400

    1500


    What is the ratio of salary of Varun to his income other than salary?
  3. Study the table and answer the question:

    Income (Rs.)

    No. of persons

    Less than 200

    12

    Less than 250

    26

    Less than 300

    34

    Less than 350

    40

    Less than 400

    50


    What is the percentage of persons earning Rs. 250 or more?
  4. The following table shows the annual profit of a company (in Rs. lakh).

    2014-2015

    2015-2016

    2016-0217

    2017-2018

    2018-2019

    625

    690

    725

    775

    815

    The period which has the maximum percentage increase in profit over the previous year is:

  5. The table given below shows the number of persons participating in a survey from 6 different states.

    States Persons 
    S1100
    S2200 
    S3400 
    S4500 
    S5600 
    S6800

    What is the ratio of number of person participating in a survey from state S3 to the number of person participating in a survey from state S4?

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