The marks obtained by 10 students in a test are $60,72,70,64,56,52,71,54,62,59$. Find the mean marks of the students. Find the mean marks of the students if 6 extra marks are given to each student.
Given :
The marks obtained by 10 students in a test are $60,72,70,64,56,52,71,54,62,59$.
To do :
We have to find the mean marks of the students.
Solution :
Number of observations $= 10$.
We know that,
$Mean = \frac{Sum\ of\ the\ observations\ of\ the\ given\ data}{Number\ of\ observations}$
Therefore,
Mean marks $= \frac{(60+72+70+64+56+52+71+54+62+59)}{10}$
$= \frac{620}{10}$
$= 62$
6 extra marks are given to each student.
New mean marks $= \frac{(60+6)+(72+6)+(70+6)+(64+6)+(56+6)+(52+6)+(71+6)+(54+6)+(62+6)+(59+6))}{10}$
$=\frac{620+60}{10}$
$=\frac{680}{10}$
$=68$
The initial mean marks of the students is 62 and the new mean marks of the students is 68.
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