If the arithmetic mean of 7, 8, x, 11, 14 is x, then x = A. 9 B. 9.5

1.	If the arithmetic mean of 7, 8, x, 11, 14 is x, then x = A. 9 B. 9.5 C. 10 D. 10.5
Answer» Terms are 7, 8, x, 11, 14 No of terms = 5 We know that Mean \(=\frac{Sum\,of\,all\,observations}{No\,of\,observations}\) \(\Rightarrow x = \frac{7+8+x+11+14}{5}\) ⇒ 5x = x + 40 ⇒ 4x = 40 ⇒ x = 10 Hence, correct option is (C)

If the arithmetic mean of 7, 8, x, 11, 14 is x, then x = A. 9 B. 9.5 C. 10 D. 10.5

Answer»

Terms are 7, 8, x, 11, 14

No of terms = 5

We know that

Mean \(=\frac{Sum\,of\,all\,observations}{No\,of\,observations}\)

\(\Rightarrow x = \frac{7+8+x+11+14}{5}\)

⇒ 5x = x + 40

⇒ 4x = 40

⇒ x = 10

Hence,

correct option is (C)

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If the arithmetic mean of 7, 8, x, 11, 14 is x, then x = A. 9 B. 9.5 C. 10 D. 10.5

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