Question

If the data (x+1), (2x+1), (x+7), and (3x+4) are in ascending order and the median is 16, then find the value of 'X'.​

Answer 1

Answer:

$sum \: = (x + 1) + (2x + 1) + (x + 7) + (3x + 4) \\ = 7x + 13 \\ median = ( \frac{sum}{2} + 1) \\ 16 = ( \frac{7x + 13}{2} + 1) \\ 7x + 13 = 14 \\ 7x = 1 \\ x = \frac{1}{7}$