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Calculate the median of the following set: 22, 19, 25, 30, 28, 24.

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Question: Calculate the median of the following set: 22, 19, 25, 30, 28, 24.

Options:

  1. 24
  2. 25
  3. 26
  4. 27

Correct Answer: 24

Solution:

Arrange the numbers: 19, 22, 24, 25, 28, 30. The median is the average of the 3rd and 4th values: (24 + 25) / 2 = 24.5.

Calculate the median of the following set: 22, 19, 25, 30, 28, 24.

Practice Questions

Q1
Calculate the median of the following set: 22, 19, 25, 30, 28, 24.
  1. 24
  2. 25
  3. 26
  4. 27

Questions & Step-by-Step Solutions

Calculate the median of the following set: 22, 19, 25, 30, 28, 24.
  • Step 1: Write down the numbers: 22, 19, 25, 30, 28, 24.
  • Step 2: Arrange the numbers in order from smallest to largest: 19, 22, 24, 25, 28, 30.
  • Step 3: Count how many numbers there are in the 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 24 and the 4th number is 25.
  • Step 6: Calculate the average of the 3rd and 4th numbers: (24 + 25) / 2.
  • Step 7: Perform the addition: 24 + 25 = 49.
  • Step 8: Divide the sum by 2: 49 / 2 = 24.5.
  • Step 9: The median of the set is 24.5.
  • Median Calculation – The median is the middle value of a data set when arranged in ascending order. If there is an even number of observations, the median is the average of the two middle numbers.
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