A Mathematics aptitude test of 50 students.

A Mathematics aptitude test of 50 students was recorded as follows :

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 21 Measures of Central Tendency Ex 21.4 Q3.1
Draw a histogram for the above data using a graph paper and locate the mode. (2011)

Solution:

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 21 Measures of Central Tendency Ex 21.4 Q3.2

Hence, the required mode is 82.5.

Draw a histogram and estimate the mode for the following frequency distribution :

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 21 Measures of Central Tendency Ex 21.4 Q4.1
Solution:

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 21 Measures of Central Tendency Ex 21.4 Q4.2

Representing classes on x-axis and frequency on the y-axis,
we draw a histogram as shown.
In the histogram, join AB and CD intersecting at M.
From M, draw ML perpendicular to the x-axis. L shows the mode
Hence Mode = 23

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