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
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CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard
CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard
Last updated at April 16, 2024 by Teachoo
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)