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If the mean of 22, 25, 27, 24 and x is 26, then the value of x is:
Question

If the mean of 22, 25, 27, 24 and x is 26, then the value of x is:

A.

32

B.

35

C.

28

D.

41

Correct option is A

Given:

The mean of the numbers 22, 25, 27, 24, and x is 26.\text{The mean of the numbers 22, 25, 27, 24, and } x \text{ is } 26. ​​

Formula Used:

Mean=Sum of all valuesNumber of values\text{Mean} = \frac{\text{Sum of all values}}{\text{Number of values}} \\​​

Solution:

Substituting the values: 26=22+25+27+24+x5 26=98+x5 130=98+x x=13098 x=32\text{Substituting the values:} \\\ \\26 = \frac{22 + 25 + 27 + 24 + x}{5} \\\ \\26 = \frac{98 + x}{5} \\\ \\130 = 98 + x \\\ \\x = 130 - 98 \\\ \\x =\bf 32   

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