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

Last updated at Nov. 1, 2019 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

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

Made by

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.