Draw a histogram for the following frequency distribution.

Prepare a frequency distribution table for the scores given:

42,22,55,18,50,10,33,29,17,29,29,27,34,15,40,42,40,41,35,27,

44,31,38,19,54,55,38,19,20,30,42,59,15,19,27,23,40,32,28,51.

Take the class intervals as 10-20, 20-30, 30-40, 40-50, 50-60. From

the frequency distribution table answer the following questions:

(i) What does the frequency corresponding to the class interval 20-30 indicate?

(ii) In which class intervals are the scores 10, 20 and 30 included?

(iii) Find the range of the scores.

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.