ML Aggarwal Measures of Central Tendency Exe-21.4 Class 10 ICSE Maths Solutions

ML Aggarwal Measures of Central Tendency Exe-21.4 Class 10 ICSE Maths Solutions. We Provide Step by Step Answer of Exe-21.4 Questions for Measures of Central Tendency as council prescribe guideline for upcoming board exam. Visit official Website CISCE for detail information about ICSE Board Class-10.

ML Aggarwal Measures of Central Tendency Exe-21.4 Class 10 ICSE Maths Solutions

Board	ICSE
Subject	Maths
Class	10th
Chapter-21	Measures of Central Tendency
Writer / Book	Understanding
Topics	Solutions of Exe-21.4
Academic Session	2024-2025

Measures of Central Tendency Exe-21.4

ML Aggarwal Class 10 ICSE Maths Solutions

Question 1. Draw a histogram for the following frequency distribution and find the mode from the graph :

Answer :

Mode = 14

Question 2. A Mathematics aptitude test of 50 students was recorded as follows :

Draw a histogram for the above data using a graph paper and locate the mode. (2011)

Answer :

Hence, the required mode is 82.5.

Question 3. Draw a histogram and estimate the mode for the following frequency distribution :

Answer :

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

Measures of Central Tendency Exe-21.4

ML Aggarwal Class 10 ICSE Maths Solutions

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Question 4. Using a graph paper draw a histogram for the given distribution showing the number of runs scored by 50 batsmen. Estimate the mode of the data

Answer :

Question 5. Use a graph paper for this question. The daily pocket expenses of 200 students in a school are given below:

Draw a histogram representing the above distribution and estimate the mode from the graph.

Answer :

Mark the upper comers of the highest rectangle
and the corners of the adjacent rectangles as A, B, C, D as shown.
Join AC and BD to intersect at P. Draw PM ⊥ x-axis.
Then the abscissa of M is 21, which is the required mode.
Hence, mode = 21

Question 6. Draw a histogram for the following distribution :

Hence estimate the modal weight.

Answer :

We write the given distribution in the continuous form :

Representing the weight (in kg) on x-axis
and No. of students on y-axis. We draw a histogram as shown.
Now join AB and CD intersecting each other at M.
From M, draw ML perpendicular to x-axis.
L is the mode which is 51.5 kg

Question 7. Find the mode of the following distribution by drawing a histogram

Also state the modal class.

Answer :

Representing class on x-axis and frequency on the y-axis,
we draw a histogram as shown.
Join AB and CD intersecting each other at M.
From M, draw ML perpendicular to the x-axis.
L shows the mode which is 30.5 and class is 27-33.