Question

Find the value of x, if the median of the following data arranged in ascending order is 19.5.
3, 7, 8, 11, 15, x, x + 3, 27, 28, 39, 45, 51,
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Answer 1

Answer:

3+7+8+11+15+X+X+3+27+28+39+45+51/12

234+X+X+3/12

237+2x/12= 19.5

237+2x=19.5 x 12

237+2x=234

237+X =117

237=117-x

237-117 = X

120=x

Answer 2

Step-by-step explanation:

median = 6 term + 7 term / 2

19.5 = x + x +3 /2

19.5 = 2x + 3 /2

19.5 / 2 = 2x + 3

9.75 = 2x + 3

9.75 - 3 = 2x

9.72 = 2x

x = 9.72 / 2

x = 4.86