2. If the mean of 9, 10, 11, x, 12, 6, 8, 14, 15, and 18 is 11, Find the value of x
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Given : Arithmetic mean of 7, 9, 11, 13, x and 21 = 13.
Arithmetic Mean = \frac{Sum of all observations}{Number of observations}
Numberofobservations
Sumofallobservations
13 = \frac{(7 + 9 + 11 + 13 + x +21)}{6}
6
(7+9+11+13+x+21)
13 = \frac{(61 + x)}{6}
6
(61+x)
61 + x = 13×6
61 + x = 78
x = 78 - 61
x = 17
So, the value of x is 17.
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