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The Heights of 50 Students, Measured to the Nearest Centimeters, Have Been Found to Be as Follows - Mathematics

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?

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Solution

(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.

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APPEARS IN

NCERT Class 9 Mathematics Textbook
Chapter 14 Statistics
Exercise 14.2 | Q 4 | Page 245
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