If the difference of Mode and Median of a data is 24, then the difference of median and mean is

(a) 8   (b) 12   (c) 24   (d) 36

 

[MCQ] If the difference of Mode and Median of a data is 24, then the - CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard

part 2 - Question 14 - CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10

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Question 14 If the difference of Mode and Median of a data is 24, then the difference of median and mean is (a) 8 (b) 12 (c) 24 (d) 36 Given difference of Mode and Median of a data is 24 Mode − Median = 24 We know that 3 Median = Mode + 2 Mean Subtracting Median both sides 3 Median − Median = Mode + 2 Mean − Median 2 Median = Mode − Median + 2 Mean Putting Mode − Median = 24 2 Median = 24 + 2 Mean 2 Median − 2 Mean = 24 2 (Median − Mean) = 24 Median − Mean = 24/2 Median − Mean = 12 So, the correct answer is (b)

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