Discussion

The median of the numbers 8, 11, 13, 15, x+1, x+3, 30, 35, 40, 43 arranged in ascending order is 23. What is the value of x?

Answer: C

The data set has 10 observations (an even number). The median is the average of the 5th and 6th terms.

5th term = x + 1

6th term = x + 3

Median = \(\frac{(x + 1) + (x + 3)}{2}\)

Given that the median is 23:

\(\frac{2x + 4}{2} = 23\)

x + 2 = 23

x = 21.

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