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Tell whether the statement is true or fa...

Tell whether the statement is true or false:
(i) The mode is always one of the numbers in a data.
(ii) The mean can be one of the numbers in a data.
(iii) The median is always one of the numbers in a data.
(iv) A data always has a mode.
(v) The data 6, 4, 3, 8, 9, 12, 13, 9 has mean 9.

Text Solution

AI Generated Solution

Let's analyze each statement step by step and determine whether they are true or false. ### Statement Analysis: **(i) The mode is always one of the numbers in a data.** - **Explanation:** The mode is defined as the number that appears most frequently in a data set. Since the mode is derived from the existing numbers, it must be one of those numbers. - **Conclusion:** This statement is **True**. ...
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