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What is the median of the following data set: 5, 3, 8, 6, 2, 4?

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Question: What is the median of the following data set: 5, 3, 8, 6, 2, 4?

Options:

  1. 4
  2. 5
  3. 5.5
  4. 6

Correct Answer: 5.5

Solution:

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

What is the median of the following data set: 5, 3, 8, 6, 2, 4?

Practice Questions

Q1
What is the median of the following data set: 5, 3, 8, 6, 2, 4?
  1. 4
  2. 5
  3. 5.5
  4. 6

Questions & Step-by-Step Solutions

What is the median of the following data set: 5, 3, 8, 6, 2, 4?
  • Step 1: Write down the data set: 5, 3, 8, 6, 2, 4.
  • Step 2: Arrange the numbers in order from smallest to largest: 2, 3, 4, 5, 6, 8.
  • Step 3: Count how many numbers are in the arranged list. There are 6 numbers.
  • Step 4: Since there is an even number of values (6), find the 3rd and 4th numbers in the arranged list.
  • Step 5: The 3rd number is 4 and the 4th number is 5.
  • Step 6: Calculate the average of the 3rd and 4th numbers: (4 + 5) / 2.
  • Step 7: Perform the calculation: (4 + 5) = 9, then 9 / 2 = 4.5.
  • Step 8: The median of the data set is 4.5.
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