Question

Question
The mean of three numbers is 14. Two of the numbers are 10 and 6. What is the third number?

A) 16
B) 18
C) 24
D) 26

Answer 1

Answer:

(D) 26

Step-by-step explanation:

(10+6+x)/3=14

16+x=42

x=26

So the third number is (D) 26

Answer 2

A mean is an arithmetic average of a set of observations. The third number of the set is 26.

What is Mean?

A mean is an arithmetic average of a set of observations. it is given by the formula,

$\rm Mean=\dfrac{\text{Sum of all obervation}}{\text{Number of observation}}$

Let the third number be x.

The mean of the three numbers is 14, also, the two of the three numbers are 10 and 6. Therefore, we can write,

${\rm Mean}=\dfrac{\text{Sum of all obervation}}{\text{Number of observation}}\\\\14 = \dfrac{x+10+6}{3}\\\\(14 \times 3) = 16+x\\\\42=16+x\\\\x = 26$

Hence, the third number of the set is 26.

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