The difference b/w mode and mean is equal to 3(mean-median) is it correct
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Answer:
look formula is mode=3median-2mean
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Answer: No
Step-by-step explanation: Let us consider an example,
Let us take height of 6 students in cm as 150 cm, 136 cm, 150cm. 145cm, 187cm, 160 cm.
Mean = (136 + 150 +150 + 145+ 187+ 160 / 6) = 9 2 2 / 6 = 153.25cm
And
let us arrange in ascending order
136,145,150,150,160,187.
No. of observations = 6 an even number
Therefore ,
Median = 3rd + 4th obsevation /2= 150 + 150 / 2 = 150.
Mean -Median = 153.25 - 150 = 3.25.
Mode = 150 as 150 has occured highest no. of times in the example.
Mean - mode = 153.25 - 150 = 3.25 cm.
And
3(mean-median) = 3( 153.25-150)=3(3.25)= 9.75
Therefore we can see that difference between mean and media is not equal to 3(Mean-Median)
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