NCERT Solutions for Class 10 Maths Chapter 14 Exercise 14.3 Statistics in Hindi and English Medium.
Class 10 Maths Exercise 14.3 Solutions in Hindi and English Medium
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|Exercise: 14.3||NCERT Solutions in PDF and Videos|
Class 10 Maths Exercise 14.3 Solution in Hindi Medium Videos
Class 10 Maths Chapter 14 Exercise 14.3 Solution in Videos
Median of Grouped Data
We have already studied in previous classes; The mean is a measure of central tendency that gives the value of the most intermediate observations in the data. To find the median of arbitrary data, we first arrange the data values of observations in ascending otherwise descending order. So if n is odd, the median is observation of (n + 1) / 2. And, if n is even, the median will be the average of (n / 2) th and (n / 2 + 1) th observations. In class 10, we will find the mean of the frequency distribution. We will add another column that represents all the information for the frequency table and as a cumulative frequency column.
The best suited Measure of Central Tendency
The mean is the most commonly used measure of central tendency because it takes into account all observations and falls between extremes, that is, the largest and smallest observations in all data. It also helps with the comparison of two or more distributions. For example, by comparing the average (average) results of students from different schools in a particular exam, we can conclude which school performs better.
However, too large or too small values in the data affect the mean. For example, the mean of classes that have nearly identical frequencies is a good representative of the data. But, if one class has a frequency, say 2, and the other five have a frequency of 20, 25, 20, 21, 18, then the mean will certainly not reflect how the data behaves. For this type of cases, the mean is not so useful for the representation of data.
Median through a Specific Observation
In problems where individual observations are not important, and we want to get a ‘specific’ observation, the median is more appropriate, for example, the specific productivity rate of workers, the average wage in a country, etc. Price can be. Therefore, instead of the mean, we take the mean as a better measure of central tendency.
In situations that require the most value or the most popular item set, the mode is the best option, for example, to watch the most popular television programs, the most in-demand consumer item, vehicle color used by most users. is done. People etc.
Empirical Formula between Mean, Mode and Median
The Empirical Relationship between the three measures of central tendency:
3 Median = Mode + 2 Mean
In which cases in 14.3 of 10th Maths finding median is more appropriate?
In problems where individual observations are not important, and we wish to find out a ‘typical’ observation, the median is more appropriate, e.g., finding the typical productivity rate of workers, average wage in a country, etc. These are situations where extreme values may be there. So, rather than the mean, we take the median as a better measure of central tendency.
Which questions or examples are important in 14.3 of 10th Maths?
In exercise 14.3 of class 10 math, there are 7 questions and two examples (examples 7, 8). All questions and examples of this exercise are important from the exam point of view.
How much time is needed to complete exercise 14.3 of class 10th mathematics?
Students need a maximum of three days to complete exercise 14.3 (chapter 14) of class 10th mathematics if they give 1-2 hours per day to this exercise. This time also depends on student’s speed, efficiency, capability and many other factors.
What will students learn in exercise 14.3 of class 10 Maths?
In exercise 14.3 of class 10 math, students will learn how to find Median of Grouped Data. This exercise is easy but needs practice to avoid calculation mistakes.