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If the Arithmetic Mean of X, X + 3, X + 6, X + 9, and X + 12 is 10, the X = - Mathematics

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Question

If the arithmetic mean of x, x + 3, x + 6, x + 9, and x + 12 is 10, the x =

Options

  • 1

  • 2

  • 6

  • 4

MCQ

Solution

The given observations are x, x + 3, x + 6, x + 9, and x + 12.

\[\therefore \sum_{}x = 5x + 30, n = 5,\]`overlineX = 10`

Now,

`overlineX =( sumx)/n `

`10 = (5x + 30)/5`

`50 = 5x +30`

`5x = 20`

`x = 4`

Hence, the correct option is (d).

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Chapter 15: Statistics - Exercise 15.8 [Page 67]

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RD Sharma Mathematics [English] Class 10
Chapter 15 Statistics
Exercise 15.8 | Q 14 | Page 67

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