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The mean of 7 numbers is 205. If 12 is added to each number, the new mean is ______. - Mathematics

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Question

The mean of 7 numbers is 205. If 12 is added to each number, the new mean is ______.

Options

  • 193

  • 212

  • 217

  • 227

MCQ
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Solution

The mean of 7 numbers is 205. If 12 is added to each number, the new mean is 217.

Explanation:

Adding the same constant to every number increases the mean by that constant.

So, new mean = 205 + 12 = 217.

Check: Original sum = 7 × 205 = 1435

Add 7 × 12 = 84 

⇒ New sum = 1519

1519 ÷ 7 = 217

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Chapter 21: Measures of central tendency - Exercise 21F [Page 486]

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Nootan Mathematics [English] Class 10 ICSE
Chapter 21 Measures of central tendency
Exercise 21F | Q 4. | Page 486
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