Following are the marks obtained, out of 100, by two students Ravi and Hashina in 10 tests.

Who is more intelligent and who is more consistent?

Given: the marks obtained, out of 100, by two students Ravi and Hashina in 10 tests

To find: who is more intelligent and who is more consistent

Case 1: For Ravi

The marks of Ravi being taken separately and finding other values can be tabulated as shown below,

Here we have assumed 45 as mean.

Total there are marks of 10 subjects.

Now we know standard deviation is given by,

Substituting the corresponding values, we get

σ=13

And mean is

Hence the mean and standard deviation of the Ravi is 44.1 and 13 respectively.

Case 1: For Hashina

The marks of Hashina being taken separately and finding other values can be tabulated as shown below,

Here as so 53 is mean.

Total there are marks of 10 subjects.

Now we know standard deviation is given by,

Substituting the corresponding values, we get

σ=24.35

Hence the mean and standard deviation of the Hashina is 53 and 24.35 respectively.

Now we will analyse them,

For Ravi,

For Hasina,

Now as CV(of Ravi)<CV of Hasina

Hence Ravi is more consistent.

Mean of Hasina>Mean of Ravi,

Hence Hasina is more intelligent.