Consider the following frequency distribution If the sum of…

Maths Statistics ( Measures of Central Tendency and Dispersion ) JEE Main 2021 Numeric Response

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Consider the following frequency distribution

If the sum of all frequencies is 584 and median is 45, then is equal to

Text Solution

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The correct answer is:

(164)

∵ Sum of frequencies =584

⇒ α + β = 390

Now, Median is at

∵ Median =45 (lies in class 40-50)

⇒ α + 110 + 54 + 15 = 292

⇒ α = 113, β = 277

⇒ |α − β| = 164

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