If the mode of the data set {1, 2, 2, 3, 4, 4, 4, 5} is removed, what is the new

Practice Questions

Q1
If the mode of the data set {1, 2, 2, 3, 4, 4, 4, 5} is removed, what is the new mode?
  1. 1
  2. 2
  3. 3
  4. 4

Questions & Step-by-Step Solutions

If the mode of the data set {1, 2, 2, 3, 4, 4, 4, 5} is removed, what is the new mode?
  • Step 1: Identify the mode of the original data set {1, 2, 2, 3, 4, 4, 4, 5}. The mode is the number that appears most frequently.
  • Step 2: In the data set, the number 4 appears 3 times, which is more than any other number. So, the mode is 4.
  • Step 3: Remove the mode (4) from the data set. The new data set is {1, 2, 2, 3, 5}.
  • Step 4: Find the mode of the new data set {1, 2, 2, 3, 5}. Look for the number that appears most frequently.
  • Step 5: In the new data set, the number 2 appears 2 times, which is more than any other number. So, the new mode is 2.
  • Mode – The mode is the value that appears most frequently in a data set.
  • Data Set Manipulation – Understanding how removing elements from a data set affects its statistical properties.
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