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  • 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

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 ?

Option: 1

variance


Option: 2

mean


Option: 3

median


Option: 4

mode


Answers (1)

best_answer

As learnt

Variance -

In case of discrete data 

\dpi{100} \sigma ^{2}= \left ( \frac{\sum x_{i}^{2}}{n} \right )-\left ( \frac{\sum x_{i}}{n} \right )^{2}

-

 

 

 

ARITHMETIC Mean -

For the values x1, x2, ....xn of the variant x the arithmetic mean is given by 

\bar{x}= \frac{x_{1}+x_{2}+x_{3}+\cdots +x_{n}}{n}

in case of discrete data.

-

 

 The measures of central tendency will change, but not meausres of dispersion.

So variance will not change.

 

Posted by

manish

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