Question

You are a math teacher who writes the following numbers and letters on the board: 11, D, 23, E, F, 68, 75. Half of the range of this increasing series is equal to its median. What is the median of the series?

a) 23
b) D
c) E
d) F

Answer 1

The median of the series 11, 23, 68, 75 is 45.5.

Step-by-step explanation:

To find the median of the series, we need to arrange the numbers in increasing order. So the series becomes 11, 23, 68, 75. The range is the difference between the largest and smallest numbers, which is 75-11 = 64. Half of the range is 64/2 = 32.

The median is the middle number in the series. Since there are 4 numbers, the median is the average of the two middle numbers, which are 23 and 68. Taking the average, we get (23+68)/2 = 45.5.

Therefore, the median of the series is 45.5.