Question

The heights of 50 students, measured to the nearest centimeters, have been found to be as follows:-

161	150	154	165	168	161	154	162	150	151
162	164	171	165	158	154	156	172	160	170
153	159	161	170	162	165	166	168	165	164
154	152	153	156	158	162	160	161	173	166
161	159	162	167	168	159	158	153	154	159

(i) Represent the data given above by a grouped frequency distribution table, taking the class intervals as 160 - 165, 165 - 170, etc.

(ii) What can you conclude bout their heights from the table?

Answer 1

(i) A grouped frequency distribution table has to be constructed taking class intervals 160 − 165, 165 − 170, etc. By observing the data given above, the required table can be constructed as follows.

Height (in cm)	Number of students (frequency)
150 − 155	12
155 − 160	9
160− 165	14
165 − 170	10
170 − 175	5
Total	50

(ii) It can be concluded that more than 50% of the students are shorter than 165 cm.