Determine the median of the following set: 1, 2, 3, 4, 5, 6, 7, 8. (2020)

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Question: Determine the median of the following set: 1, 2, 3, 4, 5, 6, 7, 8. (2020)

Options:

Correct Answer: 4.5

Exam Year: 2020

Solution:

Arrange the numbers: 1, 2, 3, 4, 5, 6, 7, 8. The median is the average of the 4th and 5th numbers: (4 + 5) / 2 = 4.5.

Determine the median of the following set: 1, 2, 3, 4, 5, 6, 7, 8. (2020)

Determine the median of the following set: 1, 2, 3, 4, 5, 6, 7, 8. (2020)

Step 1: Write down the set of numbers: 1, 2, 3, 4, 5, 6, 7, 8.
Step 2: Count how many numbers are in the set. There are 8 numbers.
Step 3: Since there is an even number of values (8), we need to find the two middle numbers.
Step 4: The middle numbers are the 4th and 5th numbers in the ordered set, which are 4 and 5.
Step 5: To find the median, calculate the average of the 4th and 5th numbers: (4 + 5) / 2.
Step 6: Perform the calculation: (4 + 5) = 9, then divide by 2 to get 4.5.
Step 7: The median of the set is 4.5.

Median Calculation – The median is the middle value of a data set when arranged in order. For an even number of values, it is the average of the two middle values.