Mathematics
Given below are the marks obtained by 27 students in a test:
21, 3, 28, 38, 6, 40, 20, 26, 9, 8, 14, 18, 20, 16, 17, 10, 8, 5, 22, 27, 34, 2, 35, 31, 16, 28, 37.
(i) Using the class intervals 1-10, 11-20 etc. construct a frequency table.
(ii) State the range of these marks.
(iii) State the class mark of the third class of your frequency table.
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Answer
(i) The frequency distribution table for given grouped data is :
| Classes | Tally Marks | Frequency |
|---|---|---|
| 1 - 10 | 8 | |
| 11 - 20 | 7 | |
| 21 - 30 | 6 | |
| 31 - 40 | 6 |
(ii) Range = Highest mark - Lowest mark = 40 - 2 = 38.
Hence, range of marks = 38.
(iii) Class mark =
Third class of frequency table = 21-30.
Substituting values we get :
Class mark = = 25.5
Hence, class mark = 25.5
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Related Questions
State which of the following variables are continuous and which are discrete:
(i) marks scored (out of 50) in a test.
(ii) daily temperature of your city.
(iii) sizes of shoes.
(iv) distance travelled by a man.
(v) time.
Using class intervals 0-4, 5-9, 10-14, ……. construct the frequency distribution for the following data :
13, 6, 10, 5, 11, 14, 2, 8, 15, 16, 9, 13, 17, 11, 19, 5, 7, 12, 20, 21, 18, 1, 8, 12, 18.
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 ………. .