Updated On : September 8, 2023
Reader's Digest: If you're a Class 12 student gearing up for the CBSE Applied Maths board exams in 2024, you're in the right place. Inferential Statistics is a vital topic you won't want to miss. So, read on to master the art of statistical inference and stay ahead of the curve in your academic journey!
The Central Board of Secondary Education, often referred to as CBSE, has introduced a fresh elective course for Class 12 students studying Commerce. This new subject is named Applied Maths.
Now, for those of you wondering what this subject includes, think of it as diving deeper into real-world math applications that businesses and other sectors use. One significant area within this subject is Inferential Statistics.
Statistics, in its essence, is about understanding and working with numbers to make sense of vast amounts of data. Specifically, "Inferential Statistics" is a technique where we use a small set of data (a sample) to make educated guesses about a much larger group (a population).
This article aims to guide you through the nuances of this topic within the CBSE Class 12 Applied Maths syllabus, helping you grasp its importance and relevance in our data-driven world.
So let's begin shall we?
Inferential statistics is the process of using data analysis to understand the properties of an underlying distribution of probability. It takes data from a sample and makes inferences about the larger population from which the sample was drawn.
CBSE Class 12 Applied Maths Inferential Statistics curriculum consists of data-based case studies from the field of business, economics, psychology, biology, and census data is used to appreciate the power of data in contemporary society.
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When we talk about statistics, we often encounter two main types: Descriptive and Inferential. Let's dive into what each of these terms means and how they differ from one another.
Imagine you took a survey of your classmates' heights. If you were to summarize this data, perhaps by calculating the average height, the tallest and shortest heights, or even by creating a graph that shows the distribution of everyone's heights, you'd be using descriptive statistics.
Key Features of Descriptive Statistics:
Example: In a class of 30 students, the average height is 5 feet 6 inches, with heights ranging from 5 feet to 6 feet 2 inches.
Now, let's say you wanted to use the height data from your class to make some guesses or predictions about the heights of all students in your school, or maybe even in schools across the country. This is where inferential statistics come into play.
Key Features of Inferential Statistics:
Example: Based on the survey from one class, we might infer that most high school students' heights in the country range between 5 feet and 6 feet 2 inches. But, there's a chance this prediction could be off by a bit, since we haven't actually measured everyone!
While descriptive statistics simply describe and summarize data, inferential statistics go a step further to help us make predictions and inferences about larger populations based on the data from a smaller group. Think of descriptive statistics as the foundation, providing clear facts, while inferential statistics builds on this foundation to explore deeper insights and trends.
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In the CBSE Class 12 Applied Maths curriculum, Inferential Statistics is listed in the Unit - 5. Here's a simple and detailed breakdown:
The inferential statistics topic holds a weightage of 6 Marks out of the total 80 marks in the question paper, which means it holds a 7.5% weightage of Class 12 CBSE Applied Maths Board Paper.
|Subject||Number of Periods||Weightage|
Inferential statistics is an easy and scoring topic if studied with the correct approach and methodology. You can refer to some of the below-mentioned preparation tips to become more confident, and successful in inferential statistics.
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Inferential statistics is used in almost every branch of fields like social sciences, actuarial sciences, computer sciences, economics, business, medicine, demographic shifts, etc, or wherever we need to analyze a given set of data.
You can understand the importance of Inferential statistics by reviewing these daily life problems which are solved using inferential Inferential statistics concepts.
To help you get an idea about the type of questions that will be asked from the inferential statistics topic, we have provided few sample questions here.
Q) Suppose X1, . . . , X100 are i.i.d random variables which have uniform distribution on [a − 2, a + 2], where a is unknown. Suppose the random sample produces a sample mean equal to 3.
Compute a 95% confidence interval for a.
Q) In a mythical national survey, 225 students are randomly selected from those taking calculus and asked if calculus is their favorite subject. 100 students reply that calculus is their favorite subject. Give a 95% confidence interval for the proportion of all students taking calculus who consider it their favorite subject.
Q) Suppose in a random sample of 225 undergraduate men at UMD that the average best (highest weight) bench press is 150 pounds, with a sample standard deviation of 20 pounds. Compute a 95% confidence interval for the average best bench press for UMD undergraduate men.
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