JEE Main 2023 · MathsNumerical answerNumerical valueEasyCalculation

JEE Main 13 April 2023, Shift 2, Maths Q29

Question 29 of 90 in this shift, Maths question 29 of 30, Section B.

The mean and standard deviation of the marks of 10 students were found to be 50 and 12 respectively. Later, it was observed that two marks 20 and 25 were wrongly read as 45 and 50 respectively. Then the correct variance is ______.

Official answer

269

NTA final key.

Chapter: Statistics
Topic: Variance and SD
Idea tested: Correcting Incorrect Variance

Same idea in other shifts

Asked 3× in all

7 Apr 2025, Shift 1 · Q9The mean and standard deviation of 100 observations are 40 and 5.1, respectively. By mistake one observation is taken as 50 instead of 40.…EasySingle correct
8 Apr 2023, Shift 2 · Q18Let the mean and variance of 12 observations be $\frac{9}{2}$ and $4$ respectively. Later on, it was observed that two observations were…MediumSingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.