If the data set is 2, 4, 6, 8, 10, 12, what is the median? (2021)

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Question: If the data set is 2, 4, 6, 8, 10, 12, what is the median? (2021)

Options:

Correct Answer: 8

Exam Year: 2021

Solution:

The numbers are already in order. Since there are 6 numbers, the median is the average of the 3rd and 4th numbers: (6 + 8) / 2 = 7.

If the data set is 2, 4, 6, 8, 10, 12, what is the median? (2021)

If the data set is 2, 4, 6, 8, 10, 12, what is the median? (2021)

Step 1: Write down the data set: 2, 4, 6, 8, 10, 12.
Step 2: Check if the numbers are in order. They are already in order.
Step 3: Count how many numbers are in the data set. There are 6 numbers.
Step 4: Since there are an even number of numbers (6), find the 3rd and 4th numbers in the list.
Step 5: The 3rd number is 6 and the 4th number is 8.
Step 6: Calculate the average of the 3rd and 4th numbers: (6 + 8) / 2.
Step 7: Perform the calculation: (6 + 8) = 14, then 14 / 2 = 7.
Step 8: The median of the data set is 7.

Median Calculation – The median is the middle value of a data set when it is ordered. If there is an even number of observations, the median is the average of the two middle numbers.