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If the data set {3, 7, 8, 12, 14} is given, what is the median?

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Question: If the data set {3, 7, 8, 12, 14} is given, what is the median?

Options:

  1. 8
  2. 7
  3. 12
  4. 10

Correct Answer: 8

Solution: 

Median is the middle value, which is 8.

If the data set {3, 7, 8, 12, 14} is given, what is the median?

Practice Questions

Q1
If the data set {3, 7, 8, 12, 14} is given, what is the median?
  1. 8
  2. 7
  3. 12
  4. 10

Questions & Step-by-Step Solutions

If the data set {3, 7, 8, 12, 14} is given, what is the median?
  • Step 1: Arrange the data set in order from smallest to largest. The data set is already in order: {3, 7, 8, 12, 14}.
  • Step 2: Count the number of values in the data set. There are 5 values.
  • Step 3: Since there is an odd number of values (5), the median is the middle value.
  • Step 4: Find the middle position. The middle position is the 3rd value in the ordered list.
  • Step 5: The 3rd value in the ordered list is 8, so the median is 8.
  • Median – The median is the middle value of a data set when it is ordered from least to greatest.
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