Mathematics
For a given set of data mean = 14 and median = 15.
Statement (1): Mode = 17.
Statement (2): Mode = 3 Median - 2 Mean s
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
Measures of Central Tendency
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Answer
Given, mean = 14 and median = 15
By formula,
Mode = 3 Median - 2 Mean
So, statement 2 is true.
Substituting the values, we get :
⇒ Mode = 3 x 15 - 2 x 14
⇒ Mode = 45 - 28
⇒ Mode = 17.
So, statement 1 is true.
∴ Both the statement are true.
Hence, option 1 is the correct option.
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