Arithmetic mean = $"Sum of the observation"/"Number of observation"$
14 = $(11 + 15 + 17 + x + 1 + 19 + x - 2 + 3)/7$
14 = $(2x + 64)/7$
2x + 64 = 14 7
2x = 98 64
2x = 34
x = $34/2$
= 17
The given numbers are 11, 15, 17, 18, 19, 15 and 3
15 occuring two times
Mode = 15
The value of x = 17 and mode = 15