Statistics for JEE

• Adding a constant changes mean but not variance
• Multiplying by k multiplies SD by |k|
• Variance = mean of squares − square of mean
• Combined mean and variance of two groups

• σ² = (Σxᵢ²/n) − x̄²
• Mean deviation about mean = Σ|xᵢ − x̄|/n
• Coefficient of variation = σ/x̄ × 100
• New variance after y = ax + b: a²σ²

Printable Statistics formula sheet: formulas, key ideas and traps on one page. Save it as a PDF for offline revision.

• Changing variance when adding a constant
• Using n − 1 (JEE uses n)
• Wrong combined variance formula

Appears frequently. One easy question is typical. Learn the shortcut formulas.

Chapter names follow the current rationalised NCERT textbooks. Read these sections before solving PYQs.

Question. A data set of 10 observations has mean 20, variance 16, and median 18. Each observation is first multiplied by 2 and then 5 is added to each result. Find the new mean, new standard deviation, and new median.

This example was solved twice independently and both solutions agree.

Full-chapter free lectures picked from YouTube search results by views, from established JEE channels (mostly in Hinglish). Use the subtopic list to jump straight to the part you need (timestamps come from each video's own chapter list). Watch one, then solve PYQs the same day.

• Statistics Class 11 | One Shot | Marathon | JEE Main | JEE Advanced |Arvind Kalia Sir| VJEE — Vedantu JEE, 1:36:40
• JEE Brief: Statistics Class 11 JEE One Shot Mathematics | JEE Main and Advanced | Nishant Vora — Vora Classes, 2:10:43
  Jump to a subtopic (26)

  • 0:00 Start of Lecture
  • 5:06 Types of Data
  • 11:47 Mean
  • 20:00 Median for ungrouped data
  • 20:40 Median for Discrete data
  • 29:09 Median for continuous distribution data
  • 32:50 Mode
  • 35:00 Mode for continuous frequency data
  • 37:54 Emperical Formula
  • 40:00 Deviation
  • 41:35 Mean Deviation about Mean
  • 44:50 Mean deviation about Median
  • 45:54 Standard Deviation and Varience for ungrouped data
  • 48:15 Standard Deviation and Varience for grouped data
  • 49:12 Analysis of frequency distribution with equal means but different variable
  • 52:10 Coefficient of Variation
  • 54:00 Variation of first N natural numbers formulas
  • 55:55 Magic table
  • 58:50 Type-1: Two observations missing
  • 1:10:50 Type-2: Shortcut
  • 1:18:05 Type-3: Arithmetic Progression
  • 1:31:57 Type-4: Magic Table
  • 1:41:14 Type-5: Wrong observation Deleted
  • 1:53:05 Type-6: Use of binomial
  • 1:57:30 Type-7: Observation which are divided into 2 groups
  • 2:07:58 Thank You Nv sir !

• 9 JEE Main 2026 PYQs on Statistics, with solutions.
• Read the chapter in NCERT textbooks (official, free), then solve its NCERT Exemplar (official, free) questions.
• Chapter-wise past questions: JEE Main and Advanced PYQs and question bank.
• Timed practice tests: NTA Abhyas practice tests (official, free) and our free mock tests.
• See it move: interactive simulation.