Q3 of 40 Page 154

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.


(i) Mid-points of 0-4, 5-9, 10-14, 15-19, 20-24 are 2, 7, 12, 17, 22 respectively.


(ii) Here maximum frequency is 12 which is corresponding to the 15-19 class interval.


(iii) Range = Highest data value-lowest data value


⇒ Range = 24-3 = 21


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1

A collection of data having more than 3 modes is said to be:

 2

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.

 4

Draw a histogram for the following frequency distribution.

 5

Draw a histogram for the following frequency distribution.