Question 40
Daily wages of 110 workers, obtained in a survey, are tabulated below:

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Compute the mean daily wages and modal daily wages of these workers.

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  1. Class 10
  2. Solutions of Sample Papers for Class 10 Boards

Transcript

Question 40 Daily wages of 110 workers, obtained in a survey, are tabulated below: Compute the mean daily wages and modal daily wages of these workers. Here ui = (π‘₯𝑖 βˆ’ π‘Ž)/β„Ž Where a = assumed mean = 170 Now, Mean(π‘₯ Μ…) = a + h Γ— (βˆ‘β–’π‘“π‘–π‘’π‘–)/(βˆ‘β–’π‘“π‘–) Where a = assumed mean = 170 h = Class interval = 20 βˆ‘β–’π‘“π‘– = 110 βˆ‘β–’π‘“π‘–π‘’π‘– = 1 Putting values Mean(π‘₯ Μ…) = a + h Γ— (βˆ‘β–’π‘“π‘–π‘’π‘–)/(βˆ‘β–’π‘“π‘–) Mean(π‘₯ Μ…) = 170 + 20 Γ— 1/110 π‘₯ Μ… = 170 + 0.18 π‘₯ Μ… = 170.18 Finding Mode Mode = l + (𝑓1 βˆ’π‘“0)/(2𝑓1 βˆ’π‘“0 βˆ’π‘“2) Γ— h Modal class = Interval with highest frequency = 160 – 180 Where l = lower limit of modal class h = class-interval f1 = frequency of the modal class f0 = frequency of the class before modal class f2 = frequency of the class after modal class Mode = 160 + (22 βˆ’ 20)/(2(22) βˆ’ 20 βˆ’ 18) Γ— 20 = 160 + 2/(44 βˆ’ 38) Γ— 20 = 160 + 2/6 Γ— 20 = 160 + 0.67 = 160.67

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.