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Mathematics

A government agency collected the data of individual incomes of 10,625 people and decided that the individual that have less income than the median of the data are economically poor. Assuming that all the individuals have different incomes, which of the following is correct?

  1. The number of economically poor people is less than the number of rich people.

  2. The number of economically poor people is more than the number of rich people.

  3. Exactly half of the people are economically poor.

  4. We can't say anything about the number of economically poor people.

Statistics

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Answer

Total people = 10,625

Since, number of observations is odd

∴ Median = n+12\dfrac{n + 1}{2}

= 10625+12\dfrac{10625 + 1}{2}

= 106262\dfrac{10626}{2} = 5313.

So median is the 5313th person.

Number of economically poor people are = 5313 - 1 = 5312.

This means that number of rich people are = 10625 - 5312 = 5313.

∴ Number of economically poor people is less than the number of rich people.

Hence, option 1 is the correct option.

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