Ex 14.2

Chapter 14 Class 10 Statistics
Serial order wise

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### Transcript

Ex 14.2, 4 The following distribution gives the state-wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. Interpret the two measures. Finding Mode Mode = l + (𝑓1 −𝑓0)/(2𝑓1 −𝑓0 −𝑓2) × h Modal class = Interval with highest frequency = 30 – 35 where l = lower limit of modal class h = class-interval f1 = frequency of the modal class f0 = frequency of class before modal class f2 = frequency of class after modal class Putting Values in formula Mode = l + (𝑓1 −𝑓0)/(2𝑓1 −𝑓0 −𝑓2) × h = 30 + (10 −9)/(2(10) − 9 − 3) × 5 = 30 + 1/(20 −12) × 5 = 30 + 5/8 = 30 + 0.625 = 30.625 Now, Finding Mean Mean(𝑥 ̅) = a + h × (∑▒𝒇𝒊𝒖𝒊)/(∑▒𝒇𝒊) Where a = assumed mean h = Class interval = 20 – 15 = 5 Also, ∑▒𝒇𝒊 = 35 ∑▒𝒇𝒊𝒖𝒊 = −58 Putting values in formula Mean(𝒙 ̅) = a + h × (∑▒𝒇𝒊𝒖𝒊)/(∑▒𝒇𝒊) 𝑥 ̅ = 37.5 + 5 × (−58)/35 𝑥 ̅ = 37.5 – 8.286 𝒙 ̅ = 29.214 Thus, Most states have student-teacher ratio 30.625 (Mode) and Average student-teacher ratio is 29.214 (Mean)

#### Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.