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

₹0.0

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

Options:

Correct Answer: 2

Solution:

Removing mode 4 leaves {1, 2, 2, 3, 5}. New mode = 2.

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

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.