# Mean

if the mean of the set of data 5, 17, 19, 14, 15, 17, 7, 11, 16, 19, 5, 5, 10, 8, 13, 14, 4, 2, 17, 11, x is -91.74, what is the value of x?

Correct result:

x =  -2155.54

#### Solution:

$-91.74 = \dfrac{ 5+17+19+14+15+17+7+11+16+19+5+5+10+8+13+14+4+2+17+11 + x } { 21 } \ \\ x = 21\cdot (-91.74) - (5+17+19+14+15+17+7+11+16+19+5+5+10+8+13+14+4+2+17+11) = -2155.54$

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