Mathematics
The marks obtained (out of 50) by 40 students in a test are given below:
28, 31, 45, 03, 05, 18, 35, 46, 49, 17, 10, 28, 31, 36, 40, 44, 47, 13, 19, 25, 24, 31, 38, 32, 27, 19, 25, 28, 48, 15, 18, 31, 37, 46, 06, 01, 20, 10, 45, 02.
(i) Taking class intervals 1 – 10, 11 – 20, .., construct a tally chart and a frequency distribution table.
(ii) Convert the above distribution to continuous distribution.
(iii) State the true class limits of the third class.
(iv) State the class mark of the fourth class.
Related Questions
Explain the meaning of the following terms:
(i) variate
(ii) class size
(iii) class mark
(iv) class limits
(v) true class limits
(vi) frequency of a class
(vii) cumulative frequency of a class.
Fill in the blanks :
(i) The number of observations in a particular class is called ………. of the class.
(ii) The difference between the class marks of two consecutive classes is the ………. of the class.
(iii) The range of the data 16, 19, 23, 13, 11, 25, 18 is ………. .
(iv) The mid-point of the class interval is called its ………. .
(v) The class mark of the class 4 – 9 is ………. .
Use the adjoining table to find:
(i) upper and lower limits of fifth class.
(ii) true class limits of the fifth class.
(iii) class boundaries of the third class.
(iv) class mark of the fourth class.
(v) width of sixth class.
Class Frequency 28 - 32 5 33 - 37 8 38 - 42 13 43 - 47 9 48 - 52 7 53 - 57 5 58 - 62 2 The marks of 200 students in a test were recorded as follows :
Marks % 10-19 20-29 30-39 40-49 50-59 60-69 70-79 80-89 No. of students 7 11 20 46 57 37 15 7 Draw the cumulative frequency table.