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NCERT Textbook: Statistics | Mathematics (Maths) Class 9 PDF Download

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FAQs on NCERT Textbook: Statistics - Mathematics (Maths) Class 9

1. What is the importance of statistics in our daily lives?
Ans. Statistics plays a crucial role in our daily lives as it helps us in making informed decisions by analyzing and interpreting data. It helps in understanding trends, patterns, and relationships among different variables. For example, statistics can be used to analyze the performance of students in a class, determine the average income of a population, or even forecast weather conditions. By using statistical techniques, we can make better decisions and solve real-world problems effectively.
2. What are the different types of data in statistics?
Ans. In statistics, data can be classified into two main types: qualitative and quantitative. Qualitative data refers to non-numerical information that describes qualities or characteristics. It includes categories or labels, such as gender, color, or occupation. On the other hand, quantitative data represents numerical values and can be further divided into discrete and continuous data. Discrete data consists of whole numbers or counts, like the number of cars in a parking lot, whereas continuous data can take any value within a range, such as temperature or height.
3. How is probability used in statistics?
Ans. Probability is an essential concept in statistics that measures the likelihood of an event occurring. It helps statisticians analyze and predict outcomes based on available data. Probability is used in various statistical techniques and models, such as hypothesis testing, regression analysis, and sampling. By assigning probabilities to different outcomes, statisticians can make predictions, draw conclusions, and assess the uncertainty associated with their findings. It allows us to make rational decisions in the presence of uncertainty.
4. What is the difference between a population and a sample in statistics?
Ans. In statistics, a population refers to the entire group or set of individuals, objects, or events that we are interested in studying. It includes all possible members with a particular characteristic. However, it is often impractical or impossible to collect data from the entire population. Hence, a sample is taken, which is a subset of the population. A sample is selected to represent the population and is used to draw conclusions or make inferences about the population. Statistical techniques are applied to analyze the sample and make generalizations about the population.
5. How can measures of central tendency be used in statistics?
Ans. Measures of central tendency, such as mean, median, and mode, are used to describe the central or typical value of a dataset. These measures help us understand the distribution and summarize the data in a single value. The mean is the sum of all values divided by the total number of values and represents the average. The median is the middle value when the data is arranged in ascending or descending order. The mode is the value that occurs most frequently. Measures of central tendency provide a concise summary of the dataset and help in comparing different groups or making predictions based on the typical value.
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