If the mode of the data set 3, 4, 4, 5, 6, 6, 6, 7 is removed, what is the new m

₹0.0

Question: If the mode of the data set 3, 4, 4, 5, 6, 6, 6, 7 is removed, what is the new mode?

Options:

Correct Answer: 4

Solution:

Removing mode 6 leaves 3, 4, 4, 5, 7. New mode = 4.

If the mode of the data set 3, 4, 4, 5, 6, 6, 6, 7 is removed, what is the new mode?

If the mode of the data set 3, 4, 4, 5, 6, 6, 6, 7 is removed, what is the new mode?

Correct Answer: 4

Step 1: Identify the mode of the original data set, which is the number that appears most frequently.
Step 2: Look at the data set: 3, 4, 4, 5, 6, 6, 6, 7. The number 6 appears the most (3 times), so the mode is 6.
Step 3: Remove all instances of the mode (6) from the data set.
Step 4: The new data set after removing 6 is: 3, 4, 4, 5, 7.
Step 5: Find the mode of the new data set. The number 4 appears twice, while 3, 5, and 7 appear once.
Step 6: Since 4 appears the most in the new data set, the new mode is 4.

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.