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If the median of the data set {3, 1, 4, 2, 5} is x, what is the value of x?

Practice Questions

Q1
If the median of the data set {3, 1, 4, 2, 5} is x, what is the value of x?
  1. 2
  2. 3
  3. 4
  4. 5

Questions & Step-by-Step Solutions

If the median of the data set {3, 1, 4, 2, 5} is x, what is the value of x?
Correct Answer: 3
  • Step 1: Write down the original data set: {3, 1, 4, 2, 5}.
  • Step 2: Sort the data set in ascending order: {1, 2, 3, 4, 5}.
  • Step 3: Count how many numbers are in the sorted data set. There are 5 numbers.
  • Step 4: Since there is an odd number of values (5), the median is the middle number.
  • Step 5: Find the middle number in the sorted data set. The middle number is the 3rd number, which is 3.
  • Step 6: Therefore, the median (x) is 3.
  • Median – The median is the middle value of a data set when it is ordered from least to greatest.
  • Data Sorting – To find the median, the data set must be sorted in ascending order.
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