+3 votes
in General by kratos

For the data 11, 15, 17, x + 1, 19, x 2, 3 if the mean is 14, find the value of x. Also find the mode of the data

1 Answer

+6 votes
by kratos
 
Best answer

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

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