Question 34 - CBSE Class 10 Sample Paper for 2020 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at March 23, 2023 by Teachoo

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:

ii. Find the median rainfall of Dispur

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

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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

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.

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