Which of the following statements is INCORRECT?
A. Mean, Median and Mode may be same for some data.
B. The probability of getting an ace out of a deck of cards is less than $ 1 . $
C. Mean of the data is always from the given data.
D. Median of the data may or may not be from the given data.


A. Mean, Median and Mode may be same for some data.

For example, if the given data is 10, 10, 10.

Mean$=10$

Median$=10$

Mode$=10$

Therefore, statement A is correct.

B. The probability of getting an ace out of a deck of cards is less than \( 1 . \)

The given statement is correct because probability is always between 0 and 1 (both included).

C. Mean of the data is always from the given data.
 For example, if the given data is 5, 10, 15, 20

Mean $=\frac{5+10+15+20}{4}=\frac{50}{4}=12.5$

Therefore, statement C is incorrect.

D. Median of the data may or may not be from the given data.

 For example, if the given data is 5, 10, 15, 20.

Median $=\frac{10+15}{2}=\frac{25}{2}=12.5$

Therefore, statement D is correct.

Option C is the correct answer.

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Updated on: 10-Oct-2022

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