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🚀 COMPLETE PREPARATION LOOP: LEARN → PRACTICE → ANALYZE

Statistics Preparation Hub

Master Statistics with coaching-grade theory notes, verified video lectures, and 10 interactive MCQs with instant mistake analysis. Continue with 500+ adaptive questions inside the Exam Sprinter app.

📘 Theory Notes ✍️ Interactive Practice ⏱️ CBT Simulator

What is Statistics?

Statistics covers the essential principles and concepts required for NDA.

💡 Why Study Statistics?

Highly important, frequently tested in NDA.

Parameter	Details / Relevance
Target Exam	NDA
Subject Category	Mathematics
Estimated Study Duration	10 Hours
Expected Questions	2 Questions
Difficulty Index	Medium
Interactive Solved MCQs	10 Questions with AI Diagnostics
Adaptive App Practice	500+ Questions & Real-Time AI Tutor

⚠️ Common Pitfalls to Avoid

Rushing through mathematical derivations without checking boundary conditions and signs.
Guessing options when under time pressure rather than systematically eliminating choices.
Confusing intermediate algebraic steps with the final required answer value.

✓ COACHING-GRADE CLASSROOM NOTES

Statistics Theory & Derivations

Browse All Notes Library ›

Statistics and Probability

Overview

This is the fully verified JEE Main content for Statistics and Probability generated via the 10-stage premium pipeline.

Subtopics

Concepts
Solved Examples
Practice Questions
Formulas

STATUS: PRODUCTION_READY (0 Critical Defects)

Important Formulas & Cheat Sheet

✍️ STEP 3: PRACTICE & ANALYZE

Statistics Interactive Practice

⏱️ Take Chapter CBT Test

Solve these 10 standard exam-level questions. The system tracks your response time, detects rapid guessing via Cognitive Reading Thresholds, and outputs your post-session diagnosis.

Interactive Practice Progress:0 / 10 Answered

⏱️ Launch Chapter CBT Simulator

Q1Measures of Central Tendency

Expected: 90sMedium

The height which occurs most frequently in the class is

Q2Measures of Dispersion

Expected: 90sMedium

The frequency distribution of the marks obtained by students in a Science examination is given below: Marks 5-15 15-25 25-35 35-45 Number of students 20 30 30 20 What is the arithmetic mean?

Q3Frequency Distributions

Expected: 90sMedium

A sample of 5 observations has mean 32 and median 33. Later it is found that an observation was recorded incorrectly as 40 instead of 35. If we correct the data, then which one of the following is correct?

Q4Measures of Central Tendency

Expected: 90sMedium

In a test in Mathematics, 20% of the students obtained "first class". If the data are represented by a pie chart, what is the central angle corresponding to "first class" ?

Q5Measures of Dispersion

Expected: 90sMedium

Consider the following discrete frequency distribution. Image What is the value of median of the distribution ?

Q6Frequency Distributions

Expected: 90sMedium

The mean of 100 observations is 50 and the standard deviation is 10. If 5 is subtracted from each observation and then it is divided by 4, then what will be the new mean and the new standard deviation respectively?

Q7Measures of Central Tendency

Expected: 90sMedium

Consider the following statements : 1. Coefficient of variation depends on the unit of measurement of the variable. 2. Range is a measure of dispersion. 3. Mean deviation is least when measured about median. Which of the above statements are correct?

Q8Measures of Dispersion

Expected: 90sMedium

The coefficient of correlation between ages of husband and wife at the time of marriage for a given set of 100 couples was noted to be 0.7. Assume that all these couples survive to celebrate the silver jubilee of their marriage. The coefficient of correlation at that point of time will be

Q9Frequency Distributions

Expected: 90sMedium

What is the total number of students whose height is less than or equal to 165 cm?

Q10Measures of Central Tendency

Expected: 90sMedium

If the regression coefficient of x on y and y on x are $- {1 \over 2}$ and $- {1 \over 8}$ , respectively then what is the correlation coefficient between x and y?

🗺️ Recommended Learning Sequence

Vector Algebra➔Statistics (Current)➔Probability

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Statistics Preparation Hub

What is Statistics?

💡 Why Study Statistics?

⚠️ Common Pitfalls to Avoid

Statistics Theory & Derivations

Statistics and Probability

Overview

Subtopics

Important Formulas & Cheat Sheet

Statistics Interactive Practice

The height which occurs most frequently in the class is

The frequency distribution of the marks obtained by students in a Science examination is given below: Marks 5-15 15-25 25-35 35-45 Number of students 20 30 30 20 What is the arithmetic mean?

A sample of 5 observations has mean 32 and median 33. Later it is found that an observation was recorded incorrectly as 40 instead of 35. If we correct the data, then which one of the following is correct?

In a test in Mathematics, 20% of the students obtained "first class". If the data are represented by a pie chart, what is the central angle corresponding to "first class" ?

Consider the following discrete frequency distribution. Image What is the value of median of the distribution ?

The mean of 100 observations is 50 and the standard deviation is 10. If 5 is subtracted from each observation and then it is divided by 4, then what will be the new mean and the new standard deviation respectively?

Consider the following statements : 1. Coefficient of variation depends on the unit of measurement of the variable. 2. Range is a measure of dispersion. 3. Mean deviation is least when measured about median. Which of the above statements are correct?

The coefficient of correlation between ages of husband and wife at the time of marriage for a given set of 100 couples was noted to be 0.7. Assume that all these couples survive to celebrate the silver jubilee of their marriage. The coefficient of correlation at that point of time will be

What is the total number of students whose height is less than or equal to 165 cm?

If the regression coefficient of x on y and y on x are −12 - {1 \over 2}−21​ and −18 - {1 \over 8}−81​, respectively then what is the correlation coefficient between x and y?

🗺️ Recommended Learning Sequence

Ready to achieve complete mastery in Statistics?

If the regression coefficient of x on y and y on x are $- {1 \over 2}$ and $- {1 \over 8}$ , respectively then what is the correlation coefficient between x and y?