Question

The marks obtained (out of \[20\] ) by $ 30 $ students of a class in a test are given below:

$ 7 $	$ 10 $	$ 6 $	$ 16 $	$ 13 $
$ 14 $	$ 15 $	$ 11 $	$ 18 $	$ 11 $
$ 15 $	$ 7 $	$ 10 $	$ 14 $	$ 20 $
$ 19 $	$ 15 $	$ 16 $	$ 14 $	$ 20 $
$ 10 $	$ 11 $	$ 14 $	$ 17 $	$ 13 $
$ 12 $	$ 15 $	$ 14 $	$ 16 $	$ 17 $

Prepare a frequency distribution table for the above data using class intervals of equal width in which one class interval is $ 3 - 8 $ (including $ 3 $ and excluding $ 8 $ ). From the frequency distribution table so obtained, draw a histogram.

Answer 1

Hint: Divide the marks of the students according to the intervals given and calculate the frequency by calculating the number of students in the particular interval.

Complete step-by-step answer:
The marks obtained (out of \[20\] ) by $ 30 $ students of a class in a test are given below:

$ 7 $	$ 10 $	$ 6 $	$ 16 $	$ 13 $
$ 14 $	$ 15 $	$ 11 $	$ 18 $	$ 11 $
$ 15 $	$ 7 $	$ 10 $	$ 14 $	$ 20 $
$ 19 $	$ 15 $	$ 16 $	$ 14 $	$ 20 $
$ 10 $	$ 11 $	$ 14 $	$ 17 $	$ 13 $
$ 12 $	$ 15 $	$ 14 $	$ 16 $	$ 17 $

We are given marks of \[30\] students. Make the intervals of the same width and count the number of students in a particular interval according to the marks distribution for the frequency table of the marks obtained by the students.

Intervals	Frequency
$ 3 - 8 $	$ 3 $
$ 8 - 13 $	$ 7 $
$ 13 - 18 $	$ 16 $
$ 18 - 23 $	$ 4 $

Hence, the frequency table shows the count of the number of students in each class interval of the marks obtained by the students of a class.
Now draw the histogram of the frequency distribution table listed above:

Above figure shows the histogram of the frequency table for the marks of students of a class in a test.

Note: In this problem take care of the number of students in the particular interval and also take the calculation of students for the frequency of different intervals carefully and match the sum of frequency with number of students to cross check.