JEE Mains · Maths · STD 11 - 13. statistics
All the students of a class performed poorly in Mathematics. The teacher decided to give grace marks of \(10\) to each of the students. Which of the following statistical measures will not change even after the grace marks were given \(?\)
- A mean
- B median
- C mode
- D variance
Answer & Solution
Correct Answer
(D) variance
Step-by-step Solution
Detailed explanation
\(y = x + 10;\overline y = \overline x + 10\) \(\sigma = \sqrt {\frac{{\sum \left( {x - \overline {.x} } \right)}}{n}} \) \( = \sqrt {\frac{{\sum \left( {y - 10 - \overline y + 10} \right)}}{n}} \) \( = \sqrt {\frac{{\sum \left( {y - \overline y } \right)}}{n}} \) variance does…
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