Question

14,15,10,11,5 median: 13,4,13 median: 30,35,23,61,1 median:

Explanation:

First Set: 14, 15, 10, 11, 5

Step1: Order the numbers

First, we need to arrange the numbers in ascending order. So, we sort 14, 15, 10, 11, 5. The sorted list is \(5, 10, 11, 14, 15\).

Step2: Find the median

For a set with an odd number of elements (\(n = 5\) here), the median is the middle element. The middle position is \(\frac{n + 1}{2}=\frac{5+ 1}{2}=3\)rd element. Looking at the sorted list \(5, 10, 11, 14, 15\), the 3rd element is 11.

Second Set: 13, 4, 13

Step1: Order the numbers

Arrange the numbers in ascending order. Sorting 13, 4, 13 gives \(4, 13, 13\).

Step2: Find the median

For a set with \(n = 3\) (odd number of elements), the median is the middle element. The middle position is \(\frac{3 + 1}{2}=2\)nd element. From the sorted list \(4, 13, 13\), the 2nd element is 13.

Third Set: 30, 35, 23, 61, 1

Step1: Order the numbers

Sort the numbers in ascending order. Sorting 30, 35, 23, 61, 1 gives \(1, 23, 30, 35, 61\).

Step2: Find the median

For \(n = 5\) (odd number of elements), the median is the middle element. The middle position is \(\frac{5+ 1}{2}=3\)rd element. From the sorted list \(1, 23, 30, 35, 61\), the 3rd element is 30.

Answer:

First set median: \(11\)
Second set median: \(13\)
Third set median: \(30\)