CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard

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

Last updated at April 16, 2024 by

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/

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Transcript

Since there is a gap of 1 between intervals We add Β½ to upper limit, and subtract Β½ to lower limit Now, let’s find mean Mean(π‘₯ Μ…) = a + h Γ— (βˆ‘β–’π’‡π’Šπ’–π’Š)/(βˆ‘β–’π’‡π’Š) Where a = Assumed mean h = Class interval Also, βˆ‘β–’π’‡π’Š = 40 βˆ‘β–’π’‡π’Šπ’–π’Š = βˆ’9 Putting values in formula Mean(𝒙 Μ…) = a + h Γ— (βˆ‘β–’π’‡π’Šπ’–π’Š)/(βˆ‘β–’π’‡π’Š) π‘₯ Μ… = 149 + 9 Γ— (βˆ’9)/40 π‘₯ Μ… = 149 – 2.025 𝒙 Μ… = 146.975 Thus, Mean length of leaves is 146.975

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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, Social Science, Physics, Chemistry, Computer Science at Teachoo.