If the averages of the given data 6, 10, 12, x, 16 is 14, find the value of x.

Average of the given numbers

= (6 + 10 + 12 + x + 16) / 5 = (44 + x) / 5

(44 + x) / 5 = 14

⇒ 44 + x = 14 × 5

⇒ 44 + x = 70

∴ x = 70 − 44 = 26

Thus, the required value of x is 26.