This question is similar to Chapter 13 Class 10 Statistics - Ex 13.3
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CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard
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Question 33 - Part 1
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Question 35 (A) Important You are here
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CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard
Last updated at Oct. 3, 2024 by Teachoo
Question 35 (A) Find the mean and median of the following data: Letβs first find median Finding Median Median = l + (π/2 βππ)/π Γ h Here, π΅/π β΄ 100 β 105 is the median class And, l = lower limit of median class h = class-interval cf = cumulative frequency of the class before median class f = frequency of the median class Putting values in formula Median = l + (π/2 βππ)/π Γ h = 100 + (ππ β ππ)/ππ Γ 5 = 100 + 3/18 Γ 5 = 100 + 5/6 = 100 + 0.83 = 100.83 Now, letβs find Mean Finding Mean Mean(π₯ Μ ) = a + h Γ (ββππππ)/(ββππ) Where a = assumed mean h = Class interval Also, ββππ = 120 ββππππ = β39 Putting values in formula Mean(π Μ ) = a + h Γ (ββππππ)/(ββππ) π₯ Μ = 102.5 + 5 Γ (β39)/120 π₯ Μ = 102.5 β 39/24 = 102.5 β 13/8 = 102.5 β 1.625 π Μ = 100.875 Therefore, Mean is 100.875