NCERT Solutions for Class 7 Maths Chapter 3 Exercise 3.2

NCERT Solutions for Class 7 Maths Chapter 3 Exercise 3.2 (Ex. 3.2) Data Handling in Hindi and English Medium updated for CBSE session 2020-2021. Exercises question answers are given in PDF as well as videos solution in easy and understandable format.

Class 7 math exercise 3.2 deals the questions related to Mode and Median. It also shows that how the mean, mode and median are related to each other.

Class 7 Maths Chapter 3 Exercise 3.2 Solution

Class: 7Mathematics
Chapter: 3Data Handling
Exercise: 3.2PDF and Videos Solution

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Class 7 Maths Chapter 3 Exercise 3.2 Solution in Videos




Median of Ungrouped Data

After arranging the given data in ascending or descending order of magnitude, the value of the middle-most observation is called the median of the data.

Method for Finding the Median of an Ungrouped Data

Arrange the data in increasing or decreasing order of magnitude. Let the total number of observations be n.

Case 1: When n is odd:

Median = value of ½ x (n + 1)th observation.
Case 2: When n is even:
Median = ½ x {(n/2)th observation + (n/2 + 1)th observation}

The runs scored by 11 members of a cricket team are 25, 39, 53, 18, 65, 72, 0, 46, 31, 08, 34. Find the median score.

Arranging the number of runs in ascending order, we have:
0, 08, 18, 25, 31, 34, 39, 46, 53, 65, 72.
Here n = 11, which is odd.
So, median score = value of (11 + 1)th term = value of 6th term = 34.
Hence, the median score is 34.

Median of Discrete Series

First arrange the terms in ascending or descending order. Now, prepare a cumulative frequency table. Let the total frequency be N.
(i) If N is odd, then
median = size of {(N +1)/2}th item
(ii) If N is even, then
median = ½ [size of (N/2)th item + size of + {(N +1)/2}th item]

Find the median for the following frequency distribution: xi = 3, 6, 10, 12, 7, 15 and fi = 3, 4, 2, 8, 13, 10

Arranging the terms in ascending order, we get:
xi = 3, 6, 7, 10, 12, 15
fi = 3, 4, 13, 2, 8, 10
Number of terms, N = 40.
median = ½ [size of (N/2)th item + size of + {(N +1)/2}th item]
Md. = ½ .{(value of 20th term) + (value of 21st term)}
Md. = ½ (7 + 10)
Hence, median = 8.5



What is a real life example of median?

The median number in a group refers to the point where half the numbers are above the median and the other half are below it. You may hear about the median salary for a country or city. When the average income for a country is discussed, the median is most often used because it represents the middle of a group.

What can a median tell you?

The median provides a helpful measure of the centre of a data set. By comparing the median to the mean, you can get an idea of the distribution of a data set. When the mean and the median are the same, the data set is more or less evenly distributed from the lowest to highest values.

Why do we use median?

The mean value of numerical data is without a doubt the most commonly used statistical measure. Sometimes the median is used as an alternative to the mean. Just like the mean value, the median also represents the location of a set of numerical data by means of a single number.

NCERT Solutions for Class 7 Maths Chapter 3 Exercise 3.2
NCERT Solutions for Class 7 Maths Chapter 3 Exercise 3.2 in english pdf free download
7 Maths Exercise 3.2 in pdf form free download
7 Maths Exercise 3.2 in hindi