Question 31 - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at December 13, 2024 by Teachoo

The length of 40 leaves of a plant are measured correct to nearest millimetre, and the data obtained is represented in the following table:

Length (in mm)	Number of leaves
118 - 126	3
127 - 135	5
136 – 144	9
145 – 153	12
154 - 162	5
163 – 171	4
172- 180	2

Find the mean length of the leaves.

This question is similar to Ex 13.1, 5 Chapter 13 Class 10

Please check https://www.teachoo.com/1935/1266/Ex-14.1--5---In-a-retail-market--fruit-vendors-were-selling/category/Mean/

The length of 40 leaves of a plant are measured correct to nearest - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard

part 2 - Question 31 - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10

part 3 - Question 31 - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10

part 4 - Question 31 - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10

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Transcript

Since there is a gap of 1 between intervals We add ½ to upper limit, and subtract ½ to lower limit Now, let’s find mean Mean(𝑥 ̅) = a + h × (∑▒𝒇𝒊𝒖𝒊)/(∑▒𝒇𝒊) Where a = Assumed mean h = Class interval Also, ∑▒𝒇𝒊 = 40 ∑▒𝒇𝒊𝒖𝒊 = −9 Putting values in formula Mean(𝒙 ̅) = a + h × (∑▒𝒇𝒊𝒖𝒊)/(∑▒𝒇𝒊) 𝑥 ̅ = 149 + 9 × (−9)/40 𝑥 ̅ = 149 – 2.025 𝒙 ̅ = 146.975 Thus, Mean length of leaves is 146.975

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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

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