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The arthimetic mean of a set of 10 no is 20. If each no is first multiple by 2 and then increase by 5 then mean of new no.?
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The arthimetic mean of a set of 10 no is 20. If each no is first multi...
Arithmetic Mean of a Set of 10 Numbers

  • The arithmetic mean of a set of numbers is the sum of all the numbers divided by the total number of numbers.

  • In this case, the arithmetic mean of a set of 10 numbers is 20.

  • Therefore, the sum of all the 10 numbers is 10 x 20 = 200.



Transformation of Numbers

  • Each number in the set is first multiplied by 2 and then increased by 5.

  • Let x be a number in the set.

  • The new number after transformation is 2x + 5.



Mean of Transformed Numbers

  • To find the mean of the transformed numbers, we need to find the sum of all the transformed numbers and divide it by the total number of transformed numbers.

  • Let y be a transformed number.

  • The sum of all the transformed numbers is (2x1 + 5) + (2x2 + 5) + ... + (2x10 + 5) = 2(x1 + x2 + ... + x10) + 50.

  • Substituting the value of sum of all the 10 numbers as 200, we get the sum of all the transformed numbers as 2 x 200 + 50 = 450.

  • The total number of transformed numbers is still 10.

  • Therefore, the mean of the transformed numbers is 450/10 = 45.



Conclusion

  • The arithmetic mean of a set of 10 numbers is 20.

  • After each number is multiplied by 2 and increased by 5, the mean of the new set of numbers is 45.

  • Therefore, the transformation of the numbers has increased the mean of the set by 25.
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Similar SSC CGL Doubts

Passage IIt is strange that, according to his position in line, an extravagant man is admired or despised. A successful businessman does nothing to increase his popularity by being careful with his money. He is expected to display his success, to have a smart car, an expensive life, and to be lavish with his hospitality. If he is not so, he is considered mean and his reputation in business may even suffer in consequence. The paradox remains that if he had not been careful with his money in the first place, he would never have achieved his present wealth. Among the low income group, a different set of values exists. The young clerk who makes his wife a present of a new dress when he hadnt paid his house rent, is condemned as extravagant. Carefulness with money to the point of meanness is applauded as a virtue. Nothing in his life is considered more worthy than paying his bills. The ideal wife for such a man separates her housekeeping money into joyless little pilesso much for rent, for food, for the childrens shoes; she is able to face the milkman with equanimity and never knows the guilt of buying something she cant really afford. As for myself, I fall into neither of these categories. If have money to spare, I can be extravagant, but when, as is usually the case, I am hard up, then I am the meanest man imaginable.Q.The word parodox means

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The arthimetic mean of a set of 10 no is 20. If each no is first multiple by 2 and then increase by 5 then mean of new no.?
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The arthimetic mean of a set of 10 no is 20. If each no is first multiple by 2 and then increase by 5 then mean of new no.? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about The arthimetic mean of a set of 10 no is 20. If each no is first multiple by 2 and then increase by 5 then mean of new no.? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The arthimetic mean of a set of 10 no is 20. If each no is first multiple by 2 and then increase by 5 then mean of new no.?.
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