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 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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