The mean and standard deviation of marks obtained by 50 students of a class in three subject, Mathematics, Physics and Chemistry are given below:Subject Mathematics Physics Chemistry Mean 42 32 40.9Standard 12 15 20DeviationWhich of the three subjects shows the highest variability in marks and which shows the lowest?

Question

The mean and standard deviation of marks obtained by 50 students of a class in three subject, Mathematics, Physics and Chemistry are given below:Subject      Mathematics         Physics                Chemistry                           Mean            42                             32                          40.9Standard       12                            15                          20DeviationWhich of the three subjects shows the highest variability in marks and which shows the lowest?

Filo · Accepted Answer

Solution: Here, we will calculate coefficient of variation which is given by,

C . V . = \frac{S . D .}{X} * 100

Here,

S . D .

is the standard deviation and

\overline{X}

is the mean.

∴

Coefficient of variation for Mathematics

= \frac{12}{42} * 100 = \frac{200}{7} = 28.57

Coefficient of variation for Physics

= \frac{15}{32} * 100 = \frac{375}{8} = 46.875

Coefficient of variation for Chemistry

= \frac{20}{40.9} * 100 = \sim 49

As coefficient of variation for Chemistry is highest, it shows highest variability.
As coefficient of variation for Mathematics is lowest, it shows lowest variability.

Question Text	The mean and standard deviation of marks obtained by 50 students of a class in three subject, Mathematics, Physics and Chemistry are given below:Subject Mathematics Physics Chemistry Mean 42 32 40.9Standard 12 15 20DeviationWhich of the three subjects shows the highest variability in marks and which shows the lowest?
Answer Type	Text solution:1
Upvotes	150

Text solutionVerified

Practice questions from similar books