In a data set of 10 numbers, the mode is 5. If the number 5 is replaced by 7, wh

₹0.0

Question: In a data set of 10 numbers, the mode is 5. If the number 5 is replaced by 7, what will be the new mode? (2021)

Options:

Correct Answer: 7

Exam Year: 2021

Solution:

Replacing 5 with 7 removes the most frequent number, so the new mode is 7.

In a data set of 10 numbers, the mode is 5. If the number 5 is replaced by 7, what will be the new mode? (2021)

In a data set of 10 numbers, the mode is 5. If the number 5 is replaced by 7, what will be the new mode? (2021)

Step 1: Understand what mode means. The mode is the number that appears most frequently in a data set.
Step 2: Identify the current mode in the data set. In this case, the mode is 5, meaning 5 appears more times than any other number.
Step 3: Replace the number 5 with 7 in the data set.
Step 4: Determine if 7 appears more frequently than any other number after the replacement.
Step 5: Since 5 was the most frequent number and it has been removed, 7 now becomes the most frequent number if it appears at least once.
Step 6: Conclude that the new mode is now 7.

Mode – The mode is the number that appears most frequently in a data set.
Effect of Changing Values – Changing a value in the data set can affect the mode, especially if the value being changed is the current mode.