The mean of 5 numbers is 18. If one number is excluded, their mean is 16. Find the excluded number.

A. 25

B. 26

C. 27

D. 28

Show Answer

Answer-B
Solution-

Solution(By Apex Team)


$\begin{array}{l}\text{Excluded number}\\ \text{= (18 × 5) – (16 × 4)}\\ \text{= 90 – 64}\\ \text{= 26}\end{array}$

Solution(By Apex Team)

Let Ajit’s average be x for 9 innings. So, Ajit scored 9x run in 9 innings.
In the 10th inning, he scored 100 runs then average became (x+8). And he scored (x + 8) × 10 runs in 10 innings.
Now,
$$\begin{array}{l}\text{Excluded number}\\ \text{= (18 × 5) – (16 × 4)}\\ \text{= 90 – 64}\\ \text{= 26}\end{array}$$

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