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Question Id : 11670 | Context :NIMCET 2024

Question

It is given that the mean, median and mode of a data set is 1,3x and 9x respectively. The possible values of the mode is
🎥 Video solution / Text Solution of this question is given below:

Mean, Median, and Mode Relation

Given:

  • Mean = 1
  • Median = 3x
  • Mode = 9x

Use empirical formula:

Mode=3⋅Median−2⋅Mean

9x=3⋅3x−2⇒(3x)2=3⋅3x−2

Let y=3x, then:

y2=3y−2⇒y2−3y+2=0⇒(y−1)(y−2)=0

So, y=1 or 2⇒9x=y2=1 or 4

✅ Final Answer: 1 or 4

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