The Central Board of Secondary Education had developed a new elective course for the class 12 Commerce stream i.e. Applied Maths. Inferential Statistics is one of the topics in the Class 12 Applied Maths syllabus. This post takes you through detailed information about CBSE Class 12 Applied Maths Inferential Statistics.

## What is Inferential Statistics?

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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### Difference between Descriptive Statistics and Inferential Statistics

Descriptive Statistics is used to describe a given set of data whereas inferential statistics are used to analyze collected data. The introduction of the former i.e. descriptive Statistics will be discussed in the 11th standard, while the latter inferential statistics will be discussed in detail in the CBSE 12 Applied Mathematics Syllabus.

Inferential statistics takes data from a sample population and makes inferences about the larger population from which the sample was drawn.

For example, one may ask a sample of 50 random people in a mall about their shopping experience and formulate a bar chart (descriptive statistics) and use that research to make predictions about major population visiting malls (Inferential statistics). Inferential Statistics is very important for the interpretation and statistical models of prediction.

- Weather prediction models are developed using statistics that equate past weather conditions with current weather conditions in order to predict future weather conditions.
- Stock market analysis is done using computational models of inferential statistics, Stock analysts get information about the economy using statistics concepts.
- Retailers keep track of everything they sell and know the stock using statistics. Worldwide leading retailers use inferential statistics to analyze present sales and forecast future demands.
- Each large organization uses business statistics and utilizes various data analysis tools.

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### CBSE Class 12 Applied Maths Inferential Statistics Syllabus 2021

As per the CBSE curriculum, you will be studying the following topics from the inferential statistics.

Topics In Inferential statistics |

Population and sample |

Parameter, statistic, and statistical inferences |

The t-Test (one-sample t-test and two independent groups t-test) |

### CBSE Class 12 Inferential Statistics Weightage

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 |
10 |
06 |

### CBSE Class 12 Applied Maths Inferential Statistics Study Material

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.

- Develop an effective and time-efficient schedule for CBSE Class 12 Applied Math practicing Inferential statistics problems regularly.
- Go through with the conceptual meaning of the definition and then start practicing questions of statistics.
- Before starting questions on Inferential statistics, brush up on the fundamentals of descriptive statistics as some of its concepts will be used in the questions.
- Attempt solved examples and then solve the exercise questions to evaluate your knowledge about the concept.
- After studying all the subjects according to the latest syllabus and exam pattern, start your evaluation during which you need to solve the CBSE Sample Papers.

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### Inferential Statistics Applications

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.

- A laboratory blood test is 99% effective in detecting a certain disease when it is in fact, present. However, the test also yields a false-positive result for 0.5% of the healthy person tested (i.e. if a healthy person is tested, then, with probability 0.005, the test will imply he has the disease). If 0.1 percent of the population actually has the disease, what is the probability that a person has the disease given that his test result is positive?
- In a national survey, 500 students are randomly selected from those taking applied maths and asked if applied maths is their favorite subject. 100 students reply that applied maths is their favorite subject. Give a 90% confidence interval for the proportion of all students taking applied maths who consider it their favorite subject.
- 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.

### Inferential Statistics Sample Questions

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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