Chapter 14 Class 10 Statistics

Class 10
Important Questions for Exam - Class 10

### Transcript

Question 2 During the medical check-up of 35 students of a class, their weights were recorded as follows: Draw a less than type ogive for the given data. Hence obtain the median weight from the graph verify the result by using the formula. Finding Median Since ∑▒𝑓𝑖 = 35 So, N = 35 ∴ 𝑁/2 = 35/2 = 17.5 We draw a line parallel to x-axis where Number of students = 17.5 Where the line intersects are equation, it is the median ∴ Median = 46.5 To find Median by Formula, We convert Less than table to Normal forFinding Median Median = l + (𝑵/𝟐 −𝒄𝒇)/𝒇 × h Here, 𝑵/𝟐 ∴ 46 – 48 is median class And, l = h = cf = f = Putting values in formula Median = l + (𝑁/2 −𝑐𝑓)/𝑓 × h = 46 + (17.5 −14)/14 × 2 = 46 + 3.5/14 × 7 = 46 + 0.5 = 46.5 Thus, Median from the formula matches Median from the graph

#### 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, Social Science, Physics, Chemistry, Computer Science at Teachoo.