In data handling we will learn how to do data analysis or data processing while handling data in mathematics.

In various fields, we need information in the form of numerical figures.

Each figure of this kind is called an observation.

*The collection of all the observations is called data.*

**Some important terms used in data handling are defined below. ****Data:** A collection of numerical facts regarding a particular type of information is called data.

Each numerical fact of this type is known as an observation.

**Raw data:** A collection of observations gathered initially is called raw data.

**Range:** The difference between the highest and the lowest values of the observations in a data is called the range of the data.

**Statistics:** It is the science which deals with the collection, presentation, analysis and interpretation of numerical data.

**1.** Given below are the marks (out of 100) in mathematics obtained by 20 students of a class in an annual examination.

23 75 56 42 70 84 12 61 40 63

87 58 35 80 14 63 49 72 66 61

**Arrange the above data in ascending order and find **

(i) the lowest marks obtained,

(ii) the highest marks obtained,

(iii) the range of the given data.

**Solution:**

*Arranging the above data in ascending order, we get:*

14 23 35 40 42 49 51 56 58 61

63 63 66 70 72 75 80 84 87 92

*From the above data analysis, we make the following observations. *

(i) Lowest marks obtained = 14.

(ii) Highest marks obtained = 92.

(iii) Range of the given data = (92 - 14) = 78.

**2.** Given below are the heights (in cm) of 11 boys of a class:

146, 143, 148, 132, 128, 139, 140, 152, 154, 142, 149

**Arrange the above data in ascending order and find **

(i) the height of the tallest boy,

(ii) the height of the shortest boy,

(iii) the range of the given data.

**Solution:**

*Arranging the given data in ascending order, we get the heights (in cm) as*

128, 132, 139, 140, 142, 143, 146, 148, 149, 152, 154.

From the above data, we get the following results.

(i) The height of the tallest boy = 154 cm.

(ii) The height of the shortest boy = 128 cm.

(iii) Range of the given data = (154 - 128) cm = 26 cm.

● **Data Handling**

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