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₯π β π)/β
Where a = assumed mean = 170
Now,
Mean(π₯ Μ ) = a + h Γ (ββπππ’π)/(ββππ)
Where a = assumed mean = 170
h = Class interval = 20
ββππ = 110
ββπππ’π = 1
Putting values
Mean(π₯ Μ ) = a + h Γ (ββπππ’π)/(ββππ)
Mean(π₯ Μ ) = 170 + 20 Γ 1/110
π₯ Μ = 170 + 0.18
π₯ Μ = 170.18
Finding Mode
Mode = l + (π1 βπ0)/(2π1 βπ0 βπ2) Γ h
Modal class = Interval with highest frequency
= 160 β 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 β 20)/(2(22) β 20 β 18) Γ 20
= 160 + 2/(44 β 38) Γ 20 = 160 + 2/6 Γ 20 = 160 + 0.67 = 160.67

CBSE Class 10 Sample Paper for 2020 Boards - Maths Standard

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.