Let the mean and the standard deviation of the observation 2 , 3 , 3 , 4 , 5 , 7 , a, b be 4 and 2 respectively. Then the mean deviation about the mode of these observations is :

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Let the mean and the standard deviation of the observation 2 , 3 , 3 , 4 , 5 , 7 , a, b be 4 and 2 ​ respectively. Then the mean deviation about the mode of these observations is :

TestHub · Accepted Answer

​ 8 24 + a + b ​ = 4 a + b = 8 2 = 8 4 + 1 + 1 + 0 + 1 + 9 + ( a − 4 ) 2 + ( b − 4 ) 2 ​ 16 = 48 + a 2 + b 2 − 8 a − 8 b a 2 + b 2 = 32 32 = 2 ab ab = 16 a = 4 b = 4 mode = 4 mean deviation = 8 2 + 1 + 1 + 0 + 1 + 3 + 0 + 0 ​ = 1 option ( 1 ) ​

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