📊𝐒𝐭𝐚𝐭𝐢𝐬𝐭𝐢𝐜𝐬_𝐈𝐧𝐝𝐢𝐚🇮🇳

MCQ for Practice 9. The main advantage of stratified sampling over simple random sampling is: A. It is cheaper B. It ensures representation of all subgroups C. It is faster D. It requires no sampling frame 10. Which sampling technique is used when the population is naturally grouped like schools, hospitals, cities? A. Systematic Sampling B. Cluster Sampling C. Stratified Sampling D. Quota Sampling #samplingtechniques #Statistics 💻https://youtube.com/@statistics_india/ https://wa.me/channel/0029Vadop5ZBfxoF9Lq8h015 https://www.instagram.com/statistics_india https://t.me/statistics_india https://www.fb.com/statistics_india https://www.threads.net/@statistics_india

6 powerful Japanese techniques that can help you live a happier, healthier, and more productive life: 1. Ikigai (生き甲斐) – Your Reason for Being Meaning: Find the purpose that makes you excited to wake up every morning. Ikigai lies at the intersection of: ❤️ What you love 💪 What you’re good at 🌍 What the world needs 💰 What you can be paid for Practice: Reflect on these four questions. Align your work and hobbies with your purpose. Make small daily progress toward your meaningful goals. ⸻ 2. Kaizen (改善) – Continuous Improvement Meaning: Improve by just 1% every day. Instead of trying to make huge changes, focus on tiny, consistent improvements. Examples: 📖 Read 5 pages daily. 🚶 Walk for 10 minutes. 💧 Drink one extra glass of water. ✍️ Learn one new skill each day. Small improvements compound into remarkable results over time. ⸻ 3. Shoshin (初心) – Beginner’s Mind Meaning: Stay curious and humble, even if you’re experienced. A beginner sees possibilities; an expert often sees limitations. Practice: Ask more questions. Be open to feedback. Learn without ego. Treat every day as a new opportunity. ⸻ 4. Hara Hachi Bu (腹八分) – Eat Until You’re 80% Full Meaning: Stop eating when you’re about 80% full. This habit is associated with: ❤️ Better heart health ⚖️ Healthy weight management 🌱 Improved digestion ⏳ Longevity Eat slowly and allow your body time to recognize fullness. ⸻ 5. Wabi-Sabi (侘寂) – Finding Beauty in Imperfection Meaning: Accept that nothing is perfect, permanent, or complete. Instead of chasing perfection: Appreciate simplicity. Learn from mistakes. Embrace aging and change. Find beauty in ordinary moments. This mindset helps reduce stress and perfectionism. ⸻ 6. Oubaitori (桜梅桃李) – Don’t Compare Yourself to Others Meaning: Like cherry, plum, peach, and apricot trees, every person blooms in their own season. Remember: 🌸 Your journey is unique. 🚫 Stop comparing yourself with others. 📈 Measure progress against your past self. 🌟 Celebrate your own growth. ⸻ Daily Routine Using These Techniques Morning During the Day Evening 🎯 Identify your Ikigai 📈 Make one Kaizen improvement 📝 Reflect with a Shoshin mindset 🍽️ Practice Hara Hachi Bu 🌿 Accept imperfections (Wabi-Sabi) 🌸 Celebrate your own progress (Oubaitori) Final Thought These six principles complement one another: 🎯 Ikigai gives you purpose. 📈 Kaizen helps you improve consistently. 🧠 Shoshin keeps you learning. 🍱 Hara Hachi Bu supports physical health. 🌿 Wabi-Sabi brings inner peace. 🌸 Oubaitori reminds you to grow at your own pace. Applied consistently, these ideas can help you build a more balanced, meaningful, and fulfilling life. Thanks 🙏 Joining us📍 💻https://youtube.com/@statistics_india/ https://wa.me/channel/0029Vadop5ZBfxoF9Lq8h015 https://www.instagram.com/statistics_india https://t.me/statistics_india https://www.fb.com/statistics_india https://www.threads.net/@statistics_india

Types of Variable📍

"One who respects their teachers achieves greatness in every field." Happy Guru Purnima all of You Friends 🙏🏻

1. What is the main purpose of a hypothesis test? A) To summarize data B)To make a decision about a population C) To calculate 2. Which of the following is a measure of dispersion? A) Mean B)Median C) Standard 3. In a normal distribution, approximately what percentage of data falls within ±1 standard deviation of the mean? * A) 68% * B)95% * C) 99.7% #Statistics #MCQ #Learning 💻https://youtube.com/@statistics_india/ https://wa.me/channel/0029Vadop5ZBfxoF9Lq8h015 https://www.instagram.com/statistics_india https://t.me/statistics_india https://www.fb.com/statistics_india https://www.threads.net/@statistics_india

1. Which of the following correctly represents a Type I error? A) Rejecting a true null hypothesis B)Failing to reject a false null hypothesis C) Accepting a a false alternative hypothesis 2. Increasing the sample size generally has what effect on the power of a hypothesis test? * A) Decreases power B) Increases power * C) Has no effect 3)Which factor directly determines the rejection region in a hypothesis test? * A) Population mean b) Sgnificance level (α) * C) Sample variance #Statistics #HypothesisTesting #MCQ #statistics @statistics_india Put on your answer 👇🏻 https://t.me/statistics_india_chat

1. If a p-value is less than the significance level (α), what should you do? A) Accept the null hypothesis B)Reject the null hypothesis C) Increase sample size 2. Which distribution is commonly used to model the number of events occurring in a fixed interval of time or space? * A) Binomial Distribution * b) Poisson Distribution * C) Uniform Distribution ⸻ 📈 Tough Statistics Quiz #9 3. Which correlation coefficient is most appropriate when the data are ordinal or not normally distributed? * A) Pearson Correlation * 😎 Spearman Rank Correlation * C) Partial Correlation #Statistics #MCQ #Challenge Put your Answer in below chat link👇🏻 https://t.me/statistics_india_chat

📊Probability Youtube Video Series📽 https://youtu.be/x2QzuOXt6kc Part – 1️⃣ Basics of Probability 1.  All Terminology of Probability (પરિકલ્પનાઓ) Low of Total and Conditional Probability (કુલ અને શરતી સંભાવનાનું પ્રમેય) https://youtu.be/5Gsejr7ZY4k Part 2️⃣ – Bayes Theorem & Ite uses (Probability) P(A|B) = P(A) * P(B|A) / P(B) https://youtu.be/yrB2JajKrX8 Part 3️⃣ – Various Probability Distribution Function & Joint or Marginal or Conditional Distributions https://youtu.be/C-8TjUB8Fwo Part 4️⃣ - Modes of Convergence of Sequence of random variables 1.  In Distributions 2.  In Probability 3.  In Mean Square https://youtu.be/Z-LIypE3I1o Part 5️⃣ – Mathematical & Conditional Expectations  https://youtu.be/ihsgVIIIvlU Part 6️⃣ – Moments & Moment Generating Function 1. Probability Generating Function 2. Moment Generating Function 3. Types of Moments 📊📚Statistics India – 🖇Social Media Link 🔗 1. 📸YouTube - https://www.youtube.com/channel/UCCq-sen8Z_9MTPPHT8QpNQQ 2. 📜WhatsApp Channel - https://wa.me/channel/0029Vadop5ZBfxoF9Lq8h015 3. 🎟Instagram Page -  https://www.instagram.com/statistics_india?igsh=MWxlbXdvMnpjNmdocw%3D%3D&utm_source=qr  4. 📩Telegram Channel - https://t.me/statistics_india  5. 📧Telegram Chat - https://t.me/statistics_india_chat 6. ⏺️Facebook Page - https://www.fb.com/statistics_india 7. 📀Thread - https://www.threads.net/@statistics_india #Probability #Researchofficer #Class2 #GujaratStatisticalServices #PSCExams #UPSC #GPSC #Statistics_india #Statistics #Mathematics #Economics #MehulPatelSir Like 👍, Share▶️ and Subscribe 📁

Your participation powers India’s statistics. Through the secure ASISSE digital portal, enterprises can submit accurate information safely and efficiently. Every response contributes to reliable data for informed policymaking while ensuring complete confidentiality of the information shared with NSO, MoSPI. For related updates and official information, please visit MoSPI’s official website. #NSO #MoSPI #ASISSE #ServiceSector #IncorporatedEnterprises #EconomicStatistics #OfficialStatistics #DataForDevelopment #StatisticalSystem #EvidenceBasedPolicy #DataDrivenGovernance #EconomicData https://t.me/statistics_india

Topics 1. Discrete Probability Distribution 2. Continuous Probability Distribution 📃Definition 🔑Key Characteristic 📊Function (PDF & PMF) 📲Examples 📊Graphical Representation 🔬Application 💹Common Distribution 🗝️Key Takeaway 💻https://youtube.com/@statistics_india/ 📜https://wa.me/channel/0029Vadop5ZBfxoF9Lq8h015 🎟️https://www.instagram.com/statistics_india 📧https://t.me/statistics_india_chat ⏺️https://www.fb.com/statistics_india 🌐https://www.threads.net/@statistics_india

📘Poisson Distribution 🎯Definition A Poisson Distribution is a discrete probability distribution used to model the number of times an event occurs in a fixed interval of time, area, distance, or volume, when events occur independently and at a constant average rate 🎲Mathematical Representation X~Poisson(lambda) ✅Conditions ✔️Events occur independently ✔️Average rate(lambda) is constant ✔️Events occur one at a time ✔️Probability depends only on the interval length 🌍Examples ☎️Number of phone calls per hour 🚗Number of road accidents per day 🏥Patients arriving at a hospital 💡Defective bulbs produced daily 🌧️Meteor strikes in a region 📩Emails received in one hour 🔑Properties 📌Type:Discrete Distribution 📌Parameter:(lambda) 📌Mean=Variance=(lambda) 📌Models rare events 📌Right-skewed for small(lambda) becomes more symmetric as(lambda) increases 📌Limiting case of the Binomial Distribution when: n is very large p is very small np= (lambda) 🧠Memory Poisson=Rare Events+Average Rate 📞Calls 🚑Accidents 💡Defects 📩Emails

🔆 UPDATED INDEX OF CORE INDUSTRIES (ICI) 📍 Why in Focus? ✅ Index of Core Industries (ICI) has been revised with a new base year (2022–23), updated sectoral coverage and revised weights, making it more representative of India’s current economy. 📍 What is the Index of Core Industries (ICI)? ✅ Measures the performance of 9 core industries, which together account for about 40.27% of the Index of Industrial Production (IIP). ✅ Acts as a leading indicator of industrial activity and economic growth. 📍 Major Changes ✅ Base Year: Updated from 2011–12 to 2022–23. ✅ Coverage: Expanded from 8 to 9 sectors with the addition of Iron Ore. ✅ Methodology: Revised measurement of coal and steel production to eliminate double counting. ✅ Sectoral Weights Revised: • Electricity: Increased to 30.93% (from 19.85%). • Coal: Reduced to 5.60% (from 10.33%). • Natural Gas: Reduced to 3.84% (from 6.88%). • Refinery Products: Reduced to 22.57% (from 28.04%). 📍 Key Observations ✅ Reflects the rising importance of electricity due to increasing demand and growth in renewable energy. ✅ Highlights the declining relative significance of fossil-fuel sectors. ✅ June 2026 recorded 5% growth, though high growth in iron ore (43.9%) and electricity (9.8%) was partly due to a base effect. ✅ Persistent contraction in crude oil and natural gas sectors remains a structural concern. 📍 Significance ✅ Makes India’s economic statistics more current, accurate and internationally comparable. ✅ Improves industrial policy formulation, economic forecasting and investment decisions. ✅ Complements recent updates to GDP, GVA, CPI, WPI and IIP. 📍 Prelims Facts ✅ 9 Core Industries: Coal, Crude Oil, Natural Gas, Refinery Products, Fertilisers, Steel, Cement, Electricity and Iron Ore. ✅ Compiled by the Office of the Economic Adviser (OEA), Department for Promotion of Industry and Internal Trade (DPIIT), Ministry of Commerce & Industry. 📍 Mains Question Discuss the significance of the revised Index of Core Industries (ICI) in improving India’s economic statistics. How do the revised sectoral weights reflect structural changes in the Indian economy? #Economy

Why inflation is rising in India

📢 Assistant Professor (Statistics) Recruitment – Medical Colleges (India) Applications are being invited from eligible candidates for Assistant Professor (Statistics) positions in medical colleges across India. If you hold a Ph.D. in Statistics or Biostatistics from a NAAC-accredited university, kindly fill out the Google Form below: 🔗 https://forms.gle/vnnhamq3SNPC9BbW6 Eligibility: ✔️ Ph.D. in Statistics or Biostatistics from a NAAC-accredited university. Please fill out the form only if you meet the above eligibility criteria. Kindly share this message with eligible statisticians who may be interested.