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Mathematics

If the mean of 7, 5, 13, x and 9 be 10, then the value of x is :

  1. 10

  2. 12

  3. 14

  4. 16

Measures of Central Tendency

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Answer

By formula,

Mean=xin10=7+5+13+x+9510×5=34+x50=34+xx=5034x=16.\Rightarrow \text{Mean} = \dfrac{\sum x_i}{n} \\[1em] \Rightarrow 10 = \dfrac{7 + 5 + 13 + x + 9}{5} \\[1em] \Rightarrow 10 \times 5 = 34 + x \\[1em] \Rightarrow 50 = 34 + x \\[1em] \Rightarrow x = 50 - 34 \\[1em] \Rightarrow x = 16.

Hence, option 4 is the correct option.

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