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5. The marks in science of students of class X are given below. Find the mode of the marks obtained by the students in science.

Marks0 – 1010 – 2020 – 3030 – 4040 – 5050 – 6060 – 7070 – 8080 – 9090 – 100
Frequency35161213205411

Solution

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a scientific, industrial, or social problem, it is conventional to begin with a statistical population or a statistical model to be studied

Marks0 – 1010 – 2020 – 3030 – 4040 – 5050 – 6060 – 7070 – 8080 – 9090 – 100
Frequency35161213205411


It’s seen that the maximum frequency is .

So, the corresponding class is the modal class.

And,

Using the formula for finding mode, we get