Question

If each observation of the data is increased by 3, then their mean

• A. Is increased by 3
• B. Is increased by 6
• C. Does not increase
• D. Is decreased by 3

Answer 1

The correct option is A Is increased by 3

If each observation of the data is increased by 3, then their mean is increased by 3. Consider the following example:
$\text{Let the terms be}a,b,c,d.\Rightarrow Mean=\frac{a+b+c+d}{4}\text{After an increment of 3 in each term,}\Rightarrow Newmean=\frac{a+3+b+3+c+3+d+3}{4}=\frac{a+b+c+d+12}{4}=\frac{a+b+c+d}{4}+3=Mean+3$
Hence, the mean also increased by 3.