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Q24. Categorical variable refers to a variable for which the measurement scale is: (a). Ordinal (b). Nominal (c). Can be ordi
Q24. Categorical variable refers to a variable for which the measurement scale is: (a). Ordinal (b). Nominal (c). Can be ordinal or nominal (d). Continuous #datacenter #dataanalytics #DataScience #dataanalysis #science #Statistics https://t.me/statistics_india

🎲 Basics of Probability https://youtu.be/x2QzuOXt6kc?si=EbiAeFf-3TymVFd1 1.   All Important Terminology regards Probability () 2.   Classical Definitions () 3.   Axiomatic Definitions () 4.   Hypothetical Definitions () 5.   Low of Conditional Probability 6.   Others Conditions & Results of Probability 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

Repost from UPSC Economy
🔆 NITI AAYOG’S TRADE WATCH QUARTERLY – Q1 FY27 📍 Why in News? 🟢 NITI Aayog released the ninth edition of Trade Watch Quarterly for Q1 FY27 (April–June 2026) on 16 September 2026. 🟢 Released by Ashok Kumar Lahiri, Vice-Chairman, NITI Aayog. 🟢 Thematic focus: India’s Metals and Ores Trade. 📍 Global & Indian Trade Trends 🟢 Global goods trade reached $13.7 trillion in H1 2026, growing 12.5% year-on-year. 🟢 Global services trade expanded by 10.5%. 🟢 India’s total merchandise and services trade reached $506.9 billion in Q1 FY27, registering 15.5% year-on-year growth. 📍 India’s Trade Performance 🟢 Major merchandise export sectors: mineral fuels, electrical machinery, nuclear reactors, iron and steel, and vehicles. 🟢 Imports of capital goods, electronic components and copper supported industrial and energy requirements. 🟢 Tanzania and South Africa emerged among India’s top ten export markets; exports to Singapore also grew strongly. 🟢 Imports from Latin America and West Africa increased, partly due to diversification of crude oil sourcing. 🟢 Northeast Asia, West Asia-GCC and ASEAN together accounted for around half of India’s total imports. 🟢 Trade with FTA partners: exports rose 36.3% and imports rose 10.0%. 📍 Digitally Delivered Services (DDS) 🟢 India’s DDS exports increased from $277 billion in 2024 to $317 billion in 2025. 🟢 Recorded 15% year-on-year growth. 🟢 India moved from the 5th-largest to the 4th-largest DDS exporter, behind the US, UK and Ireland. 📍 Metals & Ores Trade 🟢 India’s metals exports reached $34.8 billion in 2025. 🟢 Iron and steel, articles of iron and steel, and aluminium accounted for around 78% of metals exports. 🟢 Metals and ores imports increased from $32.2 billion in 2015 to $60.5 billion in 2025. 🟢 Key minerals driving demand include copper, lithium, cobalt and nickel. 🟢 These resources are important for manufacturing, infrastructure, energy transition and advanced industries. 📍 Challenges & Policy Measures 🟢 Strengthen domestic exploration, processing and specialised production of critical minerals. 🟢 The MMDR Amendment Act, 2026 may improve fiscal predictability and encourage investment in exploration and mine development. 🟢 The EU Carbon Border Adjustment Mechanism (CBAM) highlights the need to improve the competitiveness of steel and aluminium exports. 🟢 Priorities include resource security, lower logistics and financing costs, renewable-energy access, CBAM preparedness, advanced materials and critical-mineral recycling. 📍 UPSC MAINS QUESTION Q. Examine the opportunities and challenges in strengthening India’s metals and critical minerals value chains. How can trade diversification and domestic value addition enhance India’s global competitiveness? (250 words) #InternationalTrade

📍Official Statistics YouTube Video Series Ⓜ️🅿️ For 👨🏻‍💼Research Officer, 🧑🏻‍💼Research Assistant and 👩🏻‍🏭Statistical Assistant Exam Based Syllabus 📖📚📑 Part 1 - History of Statistics in India https://youtu.be/Nzt5XKb6kts Part 2 - National and State Statistical System https://youtu.be/jwrJhnJGIHs Part 3 - Official Statistics - Collection to Publication https://youtu.be/fGEU4ZGfKTE Part 4 - 1.NSO -Vision and Mission NSSO History, Role, Responsibility, Main Activities and Publication https://youtu.be/0o-mwccsobc Part 5 - Central Statistics Office History, Role, Responsibility, Main Activities https://youtu.be/o5fXzz8iXcU Part 6- National Statistical Commission https://youtu.be/I_kiNvhofrI Part 7 - Health Statistics (Sector Wise) https://youtu.be/CShEOo5Zd-c Part 8 - Agriculture Statistics https://youtu.be/g7Me1VlGAY0 Part 9 - Education Statistics https://youtu.be/cCAFt3K3pk0 Part 10 - Women and Child Statistics https://youtu.be/oMHfQZrJEzQ Part 11 - State and National Accounts https://youtu.be/Zo_ch2eBDiI Part -12 Vital Statistics https://youtu.be/YW11bLsnCEM Part 13- The Collection of Statistics Act 2008 & 2017 and Rules 2011 https://youtu.be/9Z22HVgrIOg Part -14 Previous Exam Paper Solved Official Statistics https://youtu.be/ph6Hf7ATEW4 📍Data વર્તમાન પ્રવાહ મુજબ અધ્યતન ધ્યાનમાં લેવા.

વર્તમાને ગુજરાત સરકારમાં સામાન્ય વહીવટ વિભાગ હેઠળના ખાતાના વડા હસ્તકની (૧) સંશોધન મદદનીશ અને (૨) આંકડા મદદનીશની ભરતી કરવા સબંધિત જાહેરાત ગુજરાત ગૌણ સેવા પસંદગી મંડળ દ્વારા જાહેરાત ક્રમાંક- ૪૫૭-૨૦૨૬૨૭ જાહેર કરવામાં આવેલ છે. 🎯જેમાં કુલ જગ્યાઓ પૈકી (૧) સંશોધન મદદનીશ - ૧૮ તથા (૨) આંકડા મદદનીશની ૨૩ મળી કુલ ૪૧ જગ્યાઓ ભરવામાં આવનાર છે. ❗️ઘણા બધા ઉમેદવારો આ પરીક્ષામાં ઉતીર્ણ થવા તૈયારી કરતાં હોય છે, પણ શરૂઆત ક્યાંથી કરવી અને કેવી રીતે કરવી તે મુઝવણમાં હોય છે. સાથે સાથે સૌથી મહત્વની બાબત કે અભ્યાસક્રમ મુજબ પુસ્તકો ક્યાંથી અને કયા પ્રકાશનના વાંચન કરવા તથા તેમાં પરીક્ષાનું લેવલ કેવું રહેશે? આઅ સમ્રગ બાબતો મુઝવતી હોય છે, તે સહજ છે અને અસમંજસ ને દૂર કરવા નીચે આપના અભ્યાસક્રમ મુજબ થોડી માહિતી શેર કરવાનો પ્રયત્ન કરીએ છીએ. આગળ આપના ઉપયોગી અને જરૂરિયાત જણાતા ગ્રૂપમાં શેર કરશો. ✅આ સાથે ઘણા બધા પ્રશ્નો મનમાં ઘૂઘવતાં હોય છે તો અમો હંમેશા માર્ગદર્શન આપતા હોઈએ છીએ અને અગાઉ ઘણા બધા સ્પર્ધકોના માર્ગદર્શક બની સફળતામાં સહભાગી થયા છીએ. આ મદદ કરવાનો ભાવાર્થ નિશુલ્ક છે, એટલે કોઈએ ક્લાસીસ સબંધિત પૃચ્છા ન કરવી. 📲માત્ર માર્ગદર્શન મેળવવા નીચે આપેલ સોશિયલ મીડિયા મારફતે follow કરી શકો છો. અને @mehulpatel_official પર મેસેજ કરી શકો છો. 📚હવે આપના અભ્યાસક્રમ વિષે જણાવીએ તો પરીક્ષા પેટર્ન ને ભાગમાં રહેવાની છે. ભાગ- A = 90 Marks, (1) Reasoning & Data Interpretation - (૧) તાર્કિક કસોટીઓ તથા ડેટા ઇન્ટરપ્રિટેશન (૩૦ પ્રશ્નો/૩૦ માર્કસ) (2) Quantitative Aptitude - (૩૦ પ્રશ્નો/૩૦ માર્કસ) (3) Constitution of India - (10 Questions, 10 Marks) (4) Current Affairs - (10 Questions, 10 Marks) (5) Comprehension ગુજરાતી & English - (10 Questions, 10 Marks) ભાગ - B = 120 Marks (1) Questions and Its Applications related to Educational Qualification (30 Marks) 1. BASIC STATISTICS 2. PROBABILITY 3. PROBABILITY DISTRIBUTIONS 4. SAMPLING THEORY 5. TESTING OF HYPOTHESIS 6. INDEX NUMBER 7. CORRELATION AND REGRESSION 8. TIME SERIES ANALYSIS 9. VITAL STATISTICS (2) OFFICIAL STATISTICS (30 Marks) (3) MATHEMATICS (30 Marks) (4) ECONOMICS (30 Marks) 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

Repost from UPSC Economy
🔆 INDIA ELECTRIC MOBILITY INDEX – SECOND EDITION 📍 Why in News? 🟢 NITI Aayog launched the second edition of the India Electric Mobility Index (IEMI) at its Workshop on State EV Policies. 🟢 Rajiv Gauba highlighted electric mobility as an economic, environmental and strategic imperative for Viksit Bharat 2047. 📍 Global EV Transition 🟢 In 2025, electric cars accounted for around 10% of new car sales in the US, over 25% in the EU, and more than 50% in China. 🟢 The recent West Asia crisis may become an inflection point for electric mobility, similar to how the 1970s oil crises accelerated fuel-efficiency efforts. 📍 Why Electric Mobility Matters for India 🟢 India imports nearly 89% of its crude oil requirements. 🟢 The automotive sector contributes around 7.1% of GDP and supports nearly 1.9 crore jobs. 🟢 Wider EV adoption can help reduce oil-import dependence and address vehicular pollution and related public-health costs. 📍 Government Support 🟢 Government support for EVs totals over ₹92,000 crore. 🟢 Key initiatives include FAME, PM E-DRIVE and PM E-bus Sewa. 🟢 Support also includes PLI schemes for Automobiles & Auto Components and Advanced Chemistry Cell battery storage. 🟢 The Unified Bharat e-Charge app is expected to improve access to charging infrastructure. 📍 State EV Policies & IEMI 🟢 29 of 36 States and Union Territories have notified EV policies. 🟢 Highest State IEMI score increased from 77 to 84. 🟢 Median score increased from 36 to 40 over the past year. 🟢 The Index provides a data-driven framework for States to track progress and formulate evidence-based policies. 📍 Way Forward 🟢 Prioritise electrification of public transport in selected cities. 🟢 Ensure charging infrastructure is reliable and spatially well-distributed. 🟢 Promote investment in research and innovation. 🟢 States should learn from each other while adapting EV strategies to their industrial base, fiscal capacity and geography. 📍 UPSC MAINS QUESTION Q. Discuss the significance of electric mobility for India’s energy security, environmental sustainability and economic development. Examine the role of States in accelerating EV adoption. (250 words) #Energy

Q23. Consider that a random variable X follow a Gaussian distribution with mean 10 and variance 25, then its mean deviation w
Q23. Consider that a random variable X follow a Gaussian distribution with mean 10 and variance 25, then its mean deviation will be approximated to: (a). 5/4 (b). 25 (c). 16 (d). 4 #Statistics #StatisticalAnalysis #datascience #datacenter #dataanalytics #dataanalysis

Q22. The value of a correlation coefficient is reported by a researcher to be r = −0.5. Which of the following statement is c
Q22. The value of a correlation coefficient is reported by a researcher to be r = −0.5. Which of the following statement is correct? (a). the X-variable explains −25% of the variability in the y-variable. (b). the X-variable explains 25% of the variability in the y-variable. (c). the X-variable explains −50% of the variability in the y-variable. (d). the X-variable explains 50% of the variability in the y-variable. Put your Answer in Comments 👇🏻

Repost from UPSC Economy
🔆 Semiconductor Ecosystem: India’s Silicon Dreams 📍 Why in News? 🟢 SEMICON India 2026 will be inaugurated on 17 September 2026 at Yashobhoomi, Dwarka, New Delhi. 🟢 Theme: “Silicon to Systems: Building the Ecosystem.” 📍 Why Semiconductors Matter? 🟢 Semiconductors are foundational to automobiles, healthcare, defence, drones, aircraft and satellites. 🟢 The COVID-19 pandemic exposed the risks of dependence on global chip supply chains when automobile factories faced shutdowns due to chip shortages. 📍 India’s Electronics Growth 🟢 Electronics production increased from ₹1.9 lakh crore (2014–15) to ₹13.11 lakh crore (2025–26). 🟢 Electronics exports rose from ₹38,000 crore → ₹4.24 lakh crore. 🟢 Mobile-phone production rose 33×, while exports increased 165×. 🟢 India now makes 99.2% of the phones it uses and has become a net exporter of mobiles. 📍 Semicon India Programme 🟢 Semicon 1.0 (2021): ₹76,000 crore outlay covering chip design, fabrication, packaging, testing, equipment, materials and talent. 🟢 Semicon 2.0 (2026): ₹1,27,500 crore outlay. 🟢 Six pillars: chip design, equipment & materials, fabrication, advanced packaging, R&D and talent development. 📍 Progress on Ground 🟢 12 semiconductor projects approved across six States with investment commitments exceeding ₹1.64 lakh crore. 🟢 Three facilities have already begun commercial production. 📍 Talent & Chip Design 🟢 Target: 85,000 skilled semiconductor engineers within this decade. 🟢 EDA tools deployed across 320 academic institutions; 68,000+ students trained. 🟢 By April 2026, 211 chips had been taped out by 75 institutions; seven had been fabricated, including nodes down to 12 nm. 🟢 ChipIN Centre at C-DAC provides access to chip-design tools, fabrication services and specialised training. It has reached 1 lakh+ engineers from 500+ organisations. 📍 Global Semiconductor Cooperation 🟢 India joined the Pax Silica coalition in 2026, aimed at securing the global silicon supply chain—from critical minerals and fabrication to advanced AI systems and infrastructure. 📍 SEMICON India 2026 🟢 Over 600 exhibitors, including 300 international companies. 🟢 150+ speakers, six country pavilions and 12 State pavilions. 🟢 Startup showcase, student hackathon, workforce-development pavilion. 📌 UPSC Mains Question India’s semiconductor ambitions require building an entire ecosystem rather than merely establishing fabrication facilities. Discuss. (15 Marks | 250 Words) #Government_Schemes

Repost from UPSC Economy
🔆 WHAT INDIA’S GROWTH REALLY MEANS 📍 Why in News? 🟢 India recorded 7.8% real GDP growth in April–June 2026, exceeding the
🔆 WHAT INDIA’S GROWTH REALLY MEANS 📍 Why in News? 🟢 India recorded 7.8% real GDP growth in April–June 2026, exceeding the RBI’s 7% forecast despite geopolitical tensions, high energy prices and uncertain trade conditions. 🟢 The article examines whether India’s economic growth is translating into higher productivity, employment, private investment and broad-based prosperity. 📍 India’s Economic Growth: Key Highlights 🟢 Real GDP growth: 7.2% in 2023–24, 7.1% in 2024–25, 7.7% in 2025–26 and 7.8% in April–June 2026. 🟢 Real GDP: ₹81.36 lakh crore. 🟢 Real Gross Value Added (GVA): ₹73.82 lakh crore, growing by 8.2%. 🟢 Manufacturing: Grew by 9.2%. 🟢 Utilities: Grew by 8.9%. 🟢 Construction: Grew by 7.7%. 🟢 Services: Grew by 10%, led by finance, real estate, IT and professional services. 🟢 Agriculture: Grew by 3.6%, while mining contracted by 2.4%. 📍 Drivers of Economic Growth 🟢 Investment: Gross Fixed Capital Formation grew by 11.9%. 🟢 Private consumption: Increased by 7.1%. 🟢 Exports: Grew by 12%. 🟢 Public investment: General government investment accounted for 4.2% of GDP, while total public-sector investment was 7.8%. 🟢 Non-public investment: Including household investment, private corporations and unincorporated businesses, accounted for 24.1% of GDP. 📍 Changing GDP Base Year 🟢 India is updating its GDP base year from 2011–12 to 2022–23. 🟢 A base-year revision updates the prices and economic structure used to measure GDP. 🟢 It incorporates changes in consumption patterns, production, services and emerging economic activities. 🟢 Revised estimates may change measured growth rates, but a change in measurement does not itself increase or decrease actual economic activity. 📍 India’s Growth in Global Context 🟢 India’s reported growth of 7.8% exceeded the growth rates cited for Malaysia (6%), Singapore (5.9%), Indonesia (5.2%) and China (4.3%). 🟢 India’s expanding market creates opportunities for global demand, diversified supply chains and industrial investment. 🟢 Becoming the world’s third-largest economy in nominal terms would also depend on exchange rates and price movements. 📍 Employment: The Decisive Test 🟢 According to RBI KLEMS-based data cited in the article, India added 17.19 crore jobs between 2014–15 and 2023–24. 🟢 Sustained growth must translate into productive employment, better wages and improved job quality. 🟢 Women’s labour force participation reached 41.7% in 2023–24, highlighting the importance of childcare, safe transport and flexible work. 🟢 Manufacturing needs to move beyond assembly towards design, components, machinery and electronics. 🟢 Services must expand beyond metros into tourism, healthcare, education, logistics, finance and digital businesses. 📍 Challenges and Way Forward 🟢 Private investment: Predictable regulation, easier credit and stable taxation can encourage private capital formation. 🟢 Energy security: Diversify suppliers, strengthen strategic reserves, expand renewables and improve energy efficiency. 🟢 MSME competitiveness: Improve access to finance, testing facilities, certification, standards and export markets. 🟢 Technology: Strengthen domestic computing capacity, Indian-language digital technologies and research capabilities. 🟢 Trade: Improve the utilisation of Free Trade Agreements (FTAs) and help firms overcome non-tariff barriers. 🟢 Inclusive growth: Convert economic expansion into quality employment, higher productivity and broad-based household prosperity. 📍 UPSC Relevance 🟢 GS Paper III: Indian economy, growth and development, employment, investment and inclusive growth. 📍 Mains Question “High GDP growth does not automatically translate into broad-based prosperity. Discuss the importance of productivity, employment generation, private investment and inclusive development in sustaining India’s economic growth.” (150 words) #IndianEconomy

UGC NET STATISTICS PROBLEM SET.pdf1.85 MB

Elementary Statistics.pdf24.44 MB

Repost from UPSC Economy
🔆 Does Inflation Targeting Work in India? 📍 Why in News? 🟢 India has completed a decade of inflation targeting (IT) as the
🔆 Does Inflation Targeting Work in India? 📍 Why in News? 🟢 India has completed a decade of inflation targeting (IT) as the formal monetary-policy framework of the RBI. 🟢 The framework targets 4% CPI inflation with a tolerance band of ±2 percentage points. 🟢 Recent analysis suggests India’s Phillips Curve is nearly flat, raising questions about the effectiveness and costs of inflation targeting. 📍 How Inflation Targeting Works 🟢 Demand channel: RBI raises interest rates → borrowing becomes costlier → consumption & investment fall → demand and inflation decline. 🟢 Expectations channel: Credible inflation targeting anchors inflation expectations → firms moderate price increases and workers moderate wage demands. 📍 Key Findings for India 🟢 India’s Phillips Curve appears flat, implying weak relationship between output/employment and inflation. 🟢 A flat Phillips Curve means reducing output may not produce a proportionate reduction in inflation. 🟢 Household inflation expectations have remained consistently higher than RBI projections. 🟢 This raises concerns that tight monetary policy could impose costs on output and employment without sufficiently reducing inflation. 📍 Why Phillips Curve May Be Weak in India? 🟢 A large share of workers have weak bargaining power and are effectively price-takers. 🟢 Wages may therefore not rise significantly with changes in output/employment. 🟢 India’s inflation is also influenced by food and supply-side factors, which monetary policy cannot directly control. 📍 Way Forward 🟢 Strengthen inflation-expectation management and monetary-policy communication. 🟢 Address supply-side sources of inflation through agricultural, logistics and storage reforms. 🟢 Maintain a balance between price stability, growth and employment rather than relying solely on demand compression. #Economy

Repost from UPSC Economy
🔆 World Circular Economy Forum (WCEF) 2026 📍 Why in News? 🟢 India is hosting the World Circular Economy Forum (WCEF) 2026 at Gandhinagar, Gujarat, from 15–18 September 2026 — the first WCEF in South Asia. 🟢 Theme: “Circular Economy: Transition for People and Prosperity.” 📍 What is Circular Economy? 🟢 An economic approach that focuses on reusing, refurbishing and recycling existing materials and products, looping them back into the economy as valuable resources. 📍 WCEF 2026 — Key Facts 🟢 2,000+ stakeholders from 65+ countries are expected. 🟢 125+ exhibitors will showcase practical circular-economy solutions. 🟢 Organisers include CPCB, Sitra (Finland), MoEF&CC, Government of Gujarat and GPCB. Press Release- Press Information Bureau.pdf 🟢 4 plenaries + 16 thematic sessions will cover AI, employment, energy, finance, governance, sustainable products, industrial solutions, startups and youth leadership. 📍 Major Objectives 🟢 Promote international cooperation and showcase India’s circularity initiatives. 🟢 Mobilise circular finance and private-sector investment. 🟢 Encourage policy dialogue and cross-sectoral partnerships. 🟢 Advance innovation, digitalisation and technology for circularity. 📍 Important Institutional Link 🟢 The 10 Year Framework of Programmes on Sustainable Consumption and Production Patterns (10 YFP) Board will hold its meeting alongside WCEF on 15 September. 🟢 India has recently assumed the role of Co-Chair of the 10 YFP Board. 📍 Why Important for India? 🟢 Can strengthen resource efficiency and sustainable production. 🟢 Creates opportunities for circular finance, private investment and startups. 🟢 Links environmental sustainability with employment, innovation and prosperity. 🟢 Provides greater engagement with the Global South on circular-economy solutions. 📍 UPSC Prelims Quick Recall 🟢 WCEF 2026: Gandhinagar, Gujarat 🟢 Dates: 15–18 September 2026 🟢 Theme: Circular Economy: Transition for People and Prosperity 🟢 First WCEF in: South Asia 🟢 India’s role: Co-Chair, 10 YFP Board 📌 Mains Practice Question Explain the significance of transitioning from a linear to a circular economy for achieving sustainable development, resource efficiency and inclusive prosperity in India. (10 Marks | 150 Words) #Economy

📊 P-Value — How Strong Is Your Evidence? 🔹 P < 0.05 → Statistically significant ✅ 🔹 P ≥ 0.05 → Not statistically signif
📊 P-Value — How Strong Is Your Evidence? 🔹 P < 0.05 → Statistically significant ✅ 🔹 P ≥ 0.05 → Not statistically significant ❌ 💡 Smaller P-value = Stronger evidence against H₀ #PValue #Statistics #HypothesisTesting #DataAnalysis #StatsLab #statistics_india

Rohatgi_An_Introduction_to_Probability_and_Statistics_Wiley.pdf11.55 MB

A study reports a Pearson correlation of r = -0.82 between hours of social media use and exam scores. Which statement is most accurate? A. Increasing social media use causes exam scores to decrease. B. There is a strong negative linear association between the two variables. C. 82% of the variation in exam scores is explained by social media use. D. The relationship must be nonlinear because r is negative. Choose A, B, C, or D. #statistics #Statistics #DataAnalysis https://t.me/statistics_india