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# RD Sharma Class 7 Solutions Chapter 23 - Data Handling II (Ex 23.3) Exercise 23.3

Last updated date: 28th May 2024
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## Data Handling II Exercise 23.3 - Free PDF

Free PDF download of RD Sharma Class 7 Solutions Chapter 23 - Data Handling II (Central Values) Exercise 23.3 solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 23 - Data Handling II (Central Values) Ex 23.3 Questions with Solutions for RD Sharma Class 7 Math to help you to revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams.

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## Data Handling and Various Measures of Central Tendency

The “Data handling” chapter explains collecting and organizing data for future purposes. It explains probability and problem-solving techniques that are useful to think logically and analytically to solve real-life problems.

Collection, organization presentation and analysis of data have assumed great significance in the modern world today. All branches of learning such as Mathematics, Sciences and social sciences have become increasingly dependent on statistical studies for further progress, development and accuracy in their respective subject areas. Industrialists, businessmen, farmers, meteorologists use data analysis in one form or other for checking out future plans and predictions.

### Objectives of Collecting and Organizing Data

• To select relevant data for the given situation, organize it, observe the range, find the range, and prepare its frequency table.

• Calculate the measures of central tendency such as mean, median and mode from given data.

• Use the frequency table to prepare bar graphs or double bar graphs.

• Interpret the given bar graph.

### Content of the Chapter

• The organization of data.

•  Measures of central tendency

• a. Range

• b. Arithmetic Mean

• c. Median d. Mode.

• Bar graphs and double bar graphs.

• Probability and types of samples.

### Measures of Central Tendency

They are other types of single values that are used to represent a given data.  Since all these values in some ways or other represent the central values or average value of the data they are referred to as measures of central tendencies. There are three types of Central tendencies and they are mean median and mode.

### Important Formulas of the Chapter

Range of data  =highest value – Lowest value.

Mean =  sum of all observations ÷ total number of observations.

Median n+1÷2

Mode- Most common value in a set of data.

Probability of an event=No of favorable outcomes÷Total number if possible outcomes.

## FAQs on RD Sharma Class 7 Solutions Chapter 23 - Data Handling II (Ex 23.3) Exercise 23.3

1. How is ``mean '' better than other measures of central tendency?

Mean is the most useful method when the data has no extreme values. Extreme values distort the value of mean due to which it is not able to represent the data correctly. “Arithmetic mean” or simply the “mean” of a given date is defined as the sum of all the values of the data / total number of values. Means give more accurate values than other means of central tendency like mode or median as it covers all values by taking Central value into the consideration. Hence, it is the most useful measure for the calculation of data.

2. What are other measures of Central tendency?

The other measures of central tendency are Median mode and range. Median is another measure of central tendency or another way to express the whole data with the help of a representative number. Median is defined as the middle value of data when the data is arranged in ascending or descending order. The range is useful when we want to know the extent of the data.

3. What are bar graphs and what are the rules to be followed to construct them?

A bar graph is a  type of pictorial representation which is easy to interpret a graph, numerical data is represented by rectangles called bars, of uniform or equal width with equal spacing between the bars. Rules to follow for the construction of bar graphs are as follows:

• The graph should always have a title.

• The x-axis and y-axis should be labeled as to what they represent.

• Scales used should be mentioned.

• All bars should be of the same width.

• Spaces between the bars should be of the same width.

4. What is the use of the double bar graphs?

The bar graph summarizes the large set of data in simple visual form. It displays each category of data in the frequency distribution. It clarifies the trend of data better than the table. It helps in estimating the key values at a glance.

5. What is probability?

Probability is just measured by the chance probability of an event happening.

The probability of an event is expressed as a fraction. It can also be expressed as a decimal or percentage.

Probability of an event=  Number of favorable outcomes / total number of possible outcomes. Probability of sure events- o for impossible events probability is zero for other events probability lies between 0 and 1.