Question

The median of observations (written in ascending order) 26, 29, 42, 53, x, x + 2, 70, 75, 82, 83 and 100 is 65; then ______.

Options

• x = 65

• x + 2 = 65

• `(x + (x + 2))/2 = 6`

• none of these

Answer 1

The median of observations (written in ascending order) 26, 29, 42, 53, x, x + 2, 70, 75, 82, 83 and 100 is 65; then x + 2 = 65.

Explanation:

Since there are 11 observations given in ascending order, the median is the 6th term, which is x + 2. Equating this middle term directly to the given median value of 65 yields the equation x + 2 = 65.