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The heights of 50 students, measured to the nearest centimetres, have been found to be as follows:
$$\begin{matrix} 161 & 150 & 154 & 165 & 168 & 161 & 154 & 162 & 150 & 151 \\ 162 & 164 & 171 & 165 & 158 & 154 & 156 & 172 & 160 & 170 \\ 153 & 159 & 161 & 170 & 162 & 165 & 166 & 168 & 165 & 164 \\ 154 & 152 & 153 & 156 & 158 & 162 & 160 & 161 & 173 & 166 \\ 161 & 159 & 162 & 167 & 168 & 159 & 158 & 153 & 154 & 159 \end{matrix}$$
(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 about their heights from the table?


Solution

 Height (in cm) Frequency
 $$150-155$$ $$12$$
 $$155-160$$ $$9$$
 $$160-165$$ $$14$$ 
 $$165-170$$ $$10$$
 $$170-175$$ $$5$$
 Total $$50$$
(i) The above table is the grouped frequency distribution. 
(ii) Students with $$160-165 cm$$ heights are maximum i.e. $$14$$ students.

Mathematics
NCERT
Standard IX

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