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Official statistics in India

Statistics (B.Sc) · Applied statistics · free study notes for exams, placements and interviews

In short

Official statistics are the numbers produced by government agencies about the economy, population and society, under a legal mandate and a published methodology. In India the system is headed by the Ministry of Statistics and Programme Implementation (MoSPI) with the National Statistical Office (NSO) as its data-producing arm, supported by the Registrar General of India, RBI, DGCIS, Labour Bureau, NCRB and the state Directorates of Economics and Statistics. The topic matters because GDP, CPI inflation, the unemployment rate and consumption estimates drive monetary policy, Finance Commission devolution, index-linked wages and corporate planning. It is examined in B.Sc/M.Sc Applied Statistics papers, in UGC-NET and Indian Statistical Service (ISS) papers, and asked in interviews for the ISS, RBI/SEBI research posts, NSSO field roles, and analyst jobs at CRISIL, NCAER, ICRIER, Nielsen and Kantar.

Explained

What official statistics are, and the principles they follow

Organisation of the Indian Statistical System

Legal framework

The main products: censuses, surveys and indices

Advantages and limitations

Key points

Formulas and examples

Laspeyres (base-weighted) price index: P₀ₙ = Σ(pₙ q₀) / Σ(p₀ q₀) × 100 — p = price, q = quantity, 0 = base, n = current. CPI and WPI in India are Laspeyres-type with fixed base-period weights.
Weighted-relatives form (used in exams): Index = Σ(W × R) / ΣW, where R = pₙ/p₀ × 100 is the price relative and W the group weight (per cent, ΣW = 100).
Paasche index: Σ(pₙ qₙ)/Σ(p₀ qₙ) × 100; Fisher's ideal = √(Laspeyres × Paasche) — satisfies the time-reversal and factor-reversal tests.
Point-to-point inflation (%) = (Iₜ − Iₜ₋₁₂)/Iₜ₋₁₂ × 100, for a monthly index; average (annual) inflation uses 12-month averages.
Base shifting: new index = old index × 100 / (old index of the new base year); splicing joins an old and new series at the overlap.
IIP = Σ(Wᵢ × Iᵢ)/ΣWᵢ, where Iᵢ = current month production (or deflated value) ÷ base-year monthly average × 100.
GDP at market prices = GVA at basic prices + product taxes − product subsidies; GDP deflator = (Nominal GDP / Real GDP) × 100; real growth = (1 + nominal growth)/(1 + deflator inflation) − 1.
Survey multiplier (two-stage, one stratum) = (N/n) × (M/m), where N, n = total and sampled FSUs, M, m = households listed and surveyed in the FSU. Estimated total Ŷ = Σ(multiplier × household value).
Labour-force ratios: LFPR = (Employed + Unemployed)/Population × 100; WPR = Employed/Population × 100; UR = Unemployed/Labour force × 100. Units: persons; ratios in per cent, usually for age 15 years and above.

1. CPI (Combined) from official group weights. Old-series (2012=100) group weights, price relatives for the current month as given.

GroupWeight WRelative RW × R
Food and beverages45.861868,529.96
Pan, tobacco, intoxicants2.38210499.80
Clothing and footwear6.531651,077.45
Housing10.071751,762.25
Fuel and light6.841701,162.80
Miscellaneous28.321805,097.60
Total100.0018,129.86

2. IIP for a month. Mining index 110, manufacturing 145, electricity 160.

3. GVA to GDP, and the deflator. GVA at basic prices ₹170 lakh crore, product taxes ₹22 lakh crore, product subsidies ₹4 lakh crore.

4. PLFS ratios. In a sample estimate for age 15+: population 1,000 persons; employed 570; unemployed 30; rest out of the labour force.

5. Survey multiplier. A rural stratum has N = 2,000 villages; n = 20 are selected; in a selected village M = 400 households are listed and m = 8 surveyed.

FeatureCPI (Combined)WPIIIP
AgencyNSO, MoSPIOffice of the Economic Adviser, DPIITNSO, MoSPI
Base2024 = 100 (from Jan 2026)2022-23 = 100 (from Jun 2026)2022-23 = 100 (from Jun 2026)
CoversRetail goods and servicesWholesale goods onlyIndustrial production volume
Prices usedRetail, including taxesBasic prices, excluding taxes and trade marginQuantity/value of output
Main useMonetary policy target, DA, real wagesDeflator, producer costIndustrial growth tracking

Where it is used

Interview questions

Common mistakes

Related topics

Index numbers and time series · Sample survey design and estimation · Demography and vital statistics · National income accounting · Econometrics and forecasting · Data sources and data quality assessment

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