Question

The marks (out of $100$) obtained by a group of students in a Mathematics test are $85,76,90,85,39,48,56,95,81,$and $75$. Find the

highest and lowest marks obtained by the students,range of the marks obtained and mean marks obtained by the group.

Answer 1

Step $1:$Finding the highest and lowest marks obtained by the student

The given observations are $85,76,90,85,39,48,56,95,81,$ and $75$

Thus we get the highest marks$=95$

and lowest marks$=39$

Hence obtained the highest marks$=95$ and lowest marks$=39$

Step $2:$Finding the range of the marks obtained.

Range$=$Highest marks $-$ lowest marks

$=95-39$

$=56$

Hence obtained Range$=56$

Step $3:$Finding the Mean marks obtained by the group

Mean$=\frac{\mathrm{sum}\mathrm{of}\mathrm{observations}}{\mathrm{no}.\mathrm{of}\mathrm{observation}}$

Number of observation $=10$

Thus Mean $=\frac{85+76+90+85+39+48+56+95+81+75}{10}$

$=\frac{730}{10}$

$=73$

Hence obtained Mean $=73$