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

Last updated at Dec. 13, 2024 by Teachoo

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

 

Transcript

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

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