Question

If the mean of 26, x-2, 25, x, 24 is 27, find the value of x.

Answer 1

Answer:

If the mean of 26, x-2, 25, x, 24 is 27, find the value of x.

Step-by-step explanation:

x=32

103+x=135

x=135-103

x=32

Answer 2

we know that,

$mean = \frac{sum \: of \: observations}{total \: no. \: of \: obervations}$

$\frac{26 + (x - 2) + 25 + x + 24}{5} = 27$

26 + (x-2) + 25 + x + 24 = 27 × 5

26 + x - 2 + 25 + x + 24 = 135

73 + 2x = 135

2x = 135 - 73

2x = 62

$x = \frac{62}{2}$

x = 31

Verification:

$\frac{26 + (31 - 2) + 25 + 31 + 24}{5} = 27$

$\frac{26 + 29 + 25 + 31 + 24}{5} = 27$

$\frac{135}{5} = 27$

LHS = RHS

hence verified

Hope it helps

have a great day