Which relationship is true between mean, median and mode?

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Bihar STET TGT (Maths) Official Paper-I (Held On: 04 Sept, 2023 Shift 1)
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  1. Mode = 3 Median – 2 Mean
  2. Mode = 3 Mean – 3 Median
  3. Mode = Median- Mean
  4. Mode = Mean- Median

Answer (Detailed Solution Below)

Option 1 : Mode = 3 Median – 2 Mean
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Detailed Solution

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Concept use:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

The median is the middle value when a data set is ordered from least to greatest

for even number of terms Average of n/2th term , n/2th + 1 term 

The mode is the number that occurs most often in a data set

Explanation:

Mode = 3 Median – 2 Mean 

Hence, The Correct Answer is Mode = 3 Median – 2 Mean.

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