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Facts that Matter:                                                                       Facts that Matter: Statistics | Mathematics (Maths) Class 10Let us remember that Mean, Median and Mode are measures of central tendency i.e., numerical representatives of the given data. Let us also note the following points.

Facts that Matter: Statistics | Mathematics (Maths) Class 10
2. Mean of grouped data:  
(i) Using direct method:Facts that Matter: Statistics | Mathematics (Maths) Class 10
(ii) Using the assumed mean method:  Facts that Matter: Statistics | Mathematics (Maths) Class 10
(iii) Using the step deviation method:  Facts that Matter: Statistics | Mathematics (Maths) Class 10

3. The mode for grouped data is found by using the formula:

Facts that Matter: Statistics | Mathematics (Maths) Class 10

where, l = lower limit of the modal class.
h = size of the class interval.
f1 = frequency of the modal class.
f0 = frequency of the class preceding the modal class.
f2 = frequency of the class succeeding the modal class.

Facts that Matter: Statistics | Mathematics (Maths) Class 10

4. Cumulative frequency of a class is the frequency obtained by adding the frequencies of all the classes preceding the given class.

5. Median of the given grouped data is obtained using the formula:

Facts that Matter: Statistics | Mathematics (Maths) Class 10

where, l = lower limit of median class.
n = number of observations.
cf = cumulative frequency of class preceding the median class
f = frequency of median class
h = class size

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FAQs on Facts that Matter: Statistics - Mathematics (Maths) Class 10

1. What is the importance of studying statistics in Class 10?
Ans. Studying statistics in Class 10 is important because it helps students develop analytical and critical thinking skills, enabling them to make informed decisions based on data. It also prepares them for higher-level mathematics and helps them understand and interpret data in various real-life situations.
2. How can statistics be applied in everyday life?
Ans. Statistics can be applied in everyday life in multiple ways. For example, it can be used to analyze survey data, determine probabilities in games or sports, make informed financial decisions, interpret medical research findings, or even understand trends and patterns in social media usage.
3. What are the basic concepts covered in Class 10 statistics?
Ans. In Class 10 statistics, students typically learn about concepts such as mean, median, mode, range, standard deviation, probability, and graphical representation of data. They also explore different types of data, such as discrete and continuous data, and understand how to gather and organize data effectively.
4. How can statistics help in making predictions?
Ans. Statistics provides tools and techniques to analyze and interpret data, which can be used to make predictions. By analyzing past data and identifying patterns or trends, statistics allows us to make reasonable predictions about future outcomes. For example, weather forecasts, stock market predictions, or election outcome projections are all based on statistical analysis.
5. How can statistics help in decision-making?
Ans. Statistics plays a crucial role in decision-making by providing a systematic approach to analyzing and interpreting data. It helps in evaluating different options, assessing risks, and making informed choices based on evidence rather than intuition or guesswork. Whether it's a business decision, policy-making, or personal choices, statistics provides a framework for making rational decisions.
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