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Question:

The heights of 50 students, measured to the nearest centimeters, are 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 150-155, 155-160, etc. (ii) What can you conclude about their heights from the table?

Solution:

Height (in cm) | Frequency

150-155 | 8
155-160 | 9
160-165 | 14
165-170 | 12
170-175 | 7

Total | 50

(i) The above table is the grouped frequency distribution.
(ii) The students with heights in the range 160-165 cm are maximum in number i.e., 14 students.