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


Share on WhatsApp

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

Davneet Singh's photo - Co-founder, Teachoo

Made by

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