Draw a histogram for the following frequency distribution.

The following are the marks scored in a unit test (out of 25). Prepare a frequency distribution table, taking the class intervals as 0-4,

5-9, 10-14, 15-19, 20-24:

21,14,3,7,23,18,24,16,18,17,20,10,17,18,21,23,19,12,14,9,16,1 8,12,14,11.

From the table (i) find the mid-points of each class interval (ii) find the class interval having a maximum frequency (iii) find the range of the scores.

Draw a histogram for the following frequency distribution.

The marks obtained by 12 students in a mathematics examination are given below.

48,78,93,90,66,54,83,58,60,75,89,84.

Find (i) the mean of the marks (ii) the mean mark of the students if each student is given 4 grace marks.

If the mean of 8,12,21,42, x is 20, find the value of x.