There are 50 numbers. Each number is subtracted from 53, and the mean of the…

2023

There are 50 numbers. Each number is subtracted from 53, and the mean of the numbers so obtained is found to be -3·5. The mean of the given numbers is

  1. A.

    56·5

  2. B.

    53·5

  3. C.

    49·5

  4. D.

    More than one of the above

  5. E.

    None of the above

Attempted by 96 students.

Show answer & explanation

Correct answer: A

Let the mean of the original 50 numbers be x.

When each number is subtracted from 53, the new mean becomes 53 - x.

Given that the mean of the resulting numbers is -3.5, we have:

53 - x = -3.5

Solving for x:

x = 53 + 3.5 = 56.5

Therefore, the mean of the given numbers is 56.5.

हिन्दी उत्तर:

मान लीजिए कि 50 संख्याओं का माध्य x है।

जब प्रत्येक संख्या को 53 से घटाया जाता है, तो नए माध्य का मान 53 - x होता है।

दिया गया है कि परिणामी संख्याओं का माध्य -3.5 है, इसलिए:

53 - x = -3.5

x के लिए हल करने पर:

x = 53 + 3.5 = 56.5

इसलिए, दी गई संख्याओं का माध्य 56.5 है।

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