Find the median of the following data:
24, 36, 46, 17, 18, 25, 35

Question

Find the median of the following data: 
24, 36, 46, 17, 18, 25, 35

Accepted Answer

To find the median of a set of numbers, we first need to arrange the numbers in ascending order and then identify the middle value. The given data set is:

24, 36, 46, 17, 18, 25, 35

Step 1: Arrange the numbers in ascending order:

17, 18, 24, 25, 35, 36, 46

Step 2: Identify the median:

Since there are seven numbers in the data set, the median will be the fourth number in this ordered list, as it is the middle value. Counting to the fourth position, we find that the median is 25.

Therefore, Option 3, which is 25, is the correct answer.

Explanation for why other options are incorrect:

1. Option 1 (36): This is incorrect because 36 is the sixth number in the ordered list, not the middle value. The median is the value that separates the higher half from the lower half of the data set, which is not the case for 36.

2. Option 2 (18): This is incorrect because 18 is the second number in the ordered list. It is not the middle value of the data set.

3. Option 4 (35): This is incorrect because 35 is the fifth number in the ordered list. It is not the middle value of the data set.

In conclusion, the median of the given data set is 25, which supports Option 3 as the correct answer.