# 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: 7 | Mathematics |

Chapter: 3 | Data Handling |

Exercise: 3.2 | PDF and Videos Solution |

### CBSE NCERT Class 7 Maths Chapter 3 Exercise 3.2 Solution in Hindi and English Medium

### 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.