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Grouped Frequency Table

The marks obt...

Question

The marks obtained by $50$ students in a Mathematics test with maximum mrks of $100$ are given as follows.
43, 88, 25, 93, 68, 81, 29, 41, 45, 87, 34, 50, 61, 75, 51, 96, 20, 13, 18, 35, 25, 77, 62, 98, 47, 36, 15, 40, 9, 25, 39, 60, 37, 50, 19, 86, 42, 29, 32, 61, 45, 68, 41, 87, 61, 44, 67, 30, 54, 8.
Prepare a frequency table for the above data using class interval.

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Solution

Total number of values $= 50$
Range $=$ Highest value $-$ Lowest value
$= 98 - 8 = 90$
Let us divide the given data into $10$ classes.
$∴$ Length of the Class interval $= \frac{R a n g e}{Number of class interval}$
$= \frac{90}{10} = 10$
The frequency table of the marks obtained by $50$ students in a mathematics test is as follows.

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