CBSE Class 10 Sample Paper for 2020 Boards - Maths Standard

Class 10
Solutions of Sample Papers for Class 10 Boards

iii. Obtain the Mode of the data if mean rainfall is 23.4cm

Transcript

Question 34 A TV reporter was given a task to prepare a report on the rainfall of the city Dispur of India in a particular year. After collecting the data, he analyzed the data and prepared a report on the rainfall of the city. Using this report, he drew the following graph for a particular time period of 66 days Based on the above graph, answer the following questions: i. Identify less than type ogive and more than type ogive from the given graph. In a less-than ogive, the cumulative frequency increases So, Curve 1 is less-than ogive Hence, Curve 2 is more-than ogive ii. Find the median rainfall of Dispur Median is the point where less-than and more-than ogive meet Drawing a perpendicular line from that point, We see that Median Rainfall = 21 cm iii. Obtain the Mode of the data if mean rainfall is 23.4cm We know that 3 Median = Mode + 2 Mean Putting Median = 21, Mean = 23.4 3 × 21 = Mode + 2 × 23.4 63 = Mode + 46.8 63 – 46.8 = Mode Mode = 16.2 cm

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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.