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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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo