If the mode of the data set 1, 2, 2, 3, 4, 4, 4, 5 is removed, what will be the

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Question: If the mode of the data set 1, 2, 2, 3, 4, 4, 4, 5 is removed, what will be the new mode?

Options:

Correct Answer: 2

Solution:

New mode = 2 (as 4 is removed, 2 is the next most frequent).

If the mode of the data set 1, 2, 2, 3, 4, 4, 4, 5 is removed, what will be the new mode?

If the mode of the data set 1, 2, 2, 3, 4, 4, 4, 5 is removed, what will be the new mode?

Step 1: Identify the original data set: 1, 2, 2, 3, 4, 4, 4, 5.
Step 2: Determine the mode of the original data set. The mode is the number that appears most frequently, which is 4 (it appears 3 times).
Step 3: Remove the mode (4) from the data set. The new data set is now: 1, 2, 2, 3, 4, 5.
Step 4: Find the new mode of the updated data set. Count the frequency of each number: 1 appears 1 time, 2 appears 2 times, 3 appears 1 time, 4 appears 1 time, and 5 appears 1 time.
Step 5: Identify the number that appears most frequently in the new data set. The number 2 appears the most (2 times).
Step 6: Conclude that the new mode is 2.

Mode – The mode is the value that appears most frequently in a data set.
Data Set Modification – Understanding how removing elements from a data set affects its statistical properties.