If the mode of the following numbers: 3, 3, 4, 5, 5, 5, 6, 7 is removed, what wi

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Question: If the mode of the following numbers: 3, 3, 4, 5, 5, 5, 6, 7 is removed, what will be the new mode? (2019)

Options:

Correct Answer: 3

Exam Year: 2019

Solution:

Removing 5, which is the mode, leaves 3 as the new mode since it appears twice.

If the mode of the following numbers: 3, 3, 4, 5, 5, 5, 6, 7 is removed, what will be the new mode? (2019)

If the mode of the following numbers: 3, 3, 4, 5, 5, 5, 6, 7 is removed, what will be the new mode? (2019)

Step 1: Identify the mode of the original numbers: 3, 3, 4, 5, 5, 5, 6, 7.
Step 2: Count how many times each number appears: 3 appears 2 times, 4 appears 1 time, 5 appears 3 times, 6 appears 1 time, and 7 appears 1 time.
Step 3: Determine which number appears the most. The number 5 appears the most (3 times), so it is the mode.
Step 4: Remove the mode (5) from the list of numbers.
Step 5: The new list of numbers is: 3, 3, 4, 6, 7.
Step 6: Count how many times each remaining number appears: 3 appears 2 times, 4 appears 1 time, 6 appears 1 time, and 7 appears 1 time.
Step 7: Determine which number appears the most in the new list. The number 3 appears the most (2 times), so it is the new mode.

Mode – The mode is the number that appears most frequently in a data set.
Data Modification – Understanding how removing elements from a data set affects the mode.