ML Aggarwal Data Handling Exe-15.5 Class 6 ICSE Maths Solutions

ML Aggarwal Data Handling Exe-15.5 Class 6 ICSE Maths Solutions. We Provide Step by Step Answer of  Exe-15.5 Questions for Data Handling as council prescribe guideline for upcoming board exam. Visit official Website CISCE for detail information about ICSE Board Class-6.

ML Aggarwal Data Handling Exe-15.5 Class 6 ICSE Maths Solutions

Board	ICSE
Publications	Avichal Publishig Company (APC)
Subject	Maths
Class	6th
Chapter-15	Data Handling
Writer	ML Aggarwal
Book Name	Understanding
Topics	Solution of Exe-15.5 Questions
Edition	2023-2024

Data Handling Exe-15.5

ML Aggarwal Class 6 ICSE Maths Solutions

Page-318

Question 1. Find the median of the following data:

(i) 3, 1, 5, 6, 3, 4, 5
(ii) 3, 1, 5, 6, 3, 4, 5, 6

Answer:

(i) Arrange the data in ascending order
We get, 1, 3, 3, 4, 5, 5, 6
∴ Median = (n+1/2) th  term
= (7+1/2) th  = 4^th term

(ii) After arranging data, we get
1, 3, 3, 4, 5, 5, 6, 6
∴ Median = (4+5/2) = 9/2

= 4.5

Question 2. Calculate the mean, the median and the mode of the numbers :

1, 3, 2, 6, 2, 3, 1, 3

Answer:

(a) Mean = 1 + 3 + 2 + 6 + 2 + 3 + 1 + 3/8 
= 21/8 = 2.625
Hence mean = 2.625

(b) Arranging the given data in ascending order, we get
1, 1, 2, 2, 3, 3, 3,6
Total number of observations (items) = 8 (even).
There are two middle items : – 2 and 3.
Their average = (2+3)/2 = 5/2 = 2.5
Hence the median of the given numbers = 2.5.

(c) In the given numbers,
3 is repeated more number of time than any other number.
∴ Mode = 3.

Question 3. Calculate the mean, the median and the mode of the following numbers :

3, 7, 2, 5, 3, 4, 1, 5, 3, 6

Answer

(a) Mean = 3 + 7 + 2 + 5 + 3 + 4 + 1 + 5 + 3 + 6/10

= 39/10

= 3.9
Hence the mean = 3.9

(b) Arranging the given data in ascending order, we get,
1, 2, 3, 3, 3, 4, 5, 5, 6, 7
Total numbers of observations (items) = 10 (even)
There are two middle items – 3 and 4
Their average = (3 + 4)/2 = 7/2

= 3.5
Hence the median of the given numbers = 3.5

(c) In the given numbers 3 is repeated more than any other number
∴ Mode = 3

—  : End of ML Aggarwal Data Handling Exe-15.5 Class 6 ICSE Maths Solutions :–

Return to –  ML Aggarwal Maths Solutions for ICSE Class -6

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