Question

Mode of a data set is x. If each observation of the dataset is decreased by 3, then x will be ______.

• A. remain same
• B. multiplied by 3
• C. decreased by 3
• D. calculated from the average of new data set

Answer 1

The correct option is C decreased by 3

The mode is the most frequently occurring observation in the dataset.

The mode will decrease by 3 if all the observations are decreased by 3.
Example:-

Initial Dataset :- 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 9
Mode = 8
Each observation is decreased by 3.

New Dataset :- 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6
New mode = 5

Hence, the mode value is decreased by 3.