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Find the median of the data set: 12, 15, 11, 14, 13, 10. (2020)

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Question: Find the median of the data set: 12, 15, 11, 14, 13, 10. (2020)

Options:

  1. 11
  2. 12
  3. 13
  4. 14

Correct Answer: 13

Exam Year: 2020

Solution:

First, arrange the numbers: 10, 11, 12, 13, 14, 15. Since there are 6 numbers (even), the median is the average of the 3rd and 4th numbers: (12 + 13) / 2 = 12.5.

Find the median of the data set: 12, 15, 11, 14, 13, 10. (2020)

Practice Questions

Q1
Find the median of the data set: 12, 15, 11, 14, 13, 10. (2020)
  1. 11
  2. 12
  3. 13
  4. 14

Questions & Step-by-Step Solutions

Find the median of the data set: 12, 15, 11, 14, 13, 10. (2020)
  • 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 ordered list. The 3rd number is 12 and the 4th number is 13.
  • Step 5: Calculate the average of the 3rd and 4th numbers: (12 + 13) / 2.
  • Step 6: Perform the calculation: (12 + 13) = 25, then 25 / 2 = 12.5.
  • Step 7: 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. For an even number of observations, it is the average of the two middle values.
  • Data Arrangement – Properly arranging the data set in ascending order is crucial for accurately finding the median.
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