#### If the mean of the five observations x + 1, x + 3, x + 5, 2x + 2, 3x + 3 is 14, find the mean of first three observations.

**Solution:**

Mean of the five observations

x + 1, x + 3, x + 5, 2x + 2, 3x + 3 is 14

Mean = (x + 1 + x + 3 + x + 5 + 2x + 2 + 3x + 3)/5

= (8x + 14)/5

(8x + 14)/5 =14

8x + 14 = 70

8x = 70 – 14 = 56

x = 56/8 = 7

Mean of x + 1 + x + 3 + x + 5

Mean = (x + 1 + x + 3 + x + 5)/3

= (3x + 9)/3

= x + 3

Substituting the value of x

= 7 + 3

= 10

Therfore, the mean of first three observations is 10.

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