Find the median of the following data set: 12, 15, 11, 14, 13, 10. (2019)

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Question: Find the median of the following data set: 12, 15, 11, 14, 13, 10. (2019)

Options:

Correct Answer: 13

Exam Year: 2019

Solution:

First, arrange the numbers: 10, 11, 12, 13, 14, 15. The median is the average of the 3rd and 4th numbers: (12 + 13) / 2 = 12.5.

Find the median of the following data set: 12, 15, 11, 14, 13, 10. (2019)

Find the median of the following data set: 12, 15, 11, 14, 13, 10. (2019)

Step 1: Write down the data set: 12, 15, 11, 14, 13, 10.
Step 2: Arrange the numbers in order from smallest to largest: 10, 11, 12, 13, 14, 15.
Step 3: Count how many numbers are in the data set. There are 6 numbers.
Step 4: Since there are 6 numbers (an even amount), find the 3rd and 4th numbers in the arranged list.
Step 5: The 3rd number is 12 and the 4th number is 13.
Step 6: Calculate the average of the 3rd and 4th numbers: (12 + 13) / 2.
Step 7: Perform the calculation: 25 / 2 = 12.5.
Step 8: The median of the data set is 12.5.

Median Calculation – The median is the middle value of a data set when arranged in order. If there is an even number of observations, it is the average of the two middle values.
Data Arrangement – Before finding the median, the data set must be sorted in ascending order.