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The heights of 50 students, measured to the nearest centimetres, have been found to be as follows:
![](/assets/questions/media/153848-1660836299.png)
(i) Represent the data given above by a grouped frequency distribution table
Given:
The heights of 50 students, measured to the nearest centimetres.
To do:
We have to
(i) Represent the data given above by a grouped frequency distribution table, taking the class intervals as \( 160-165,165-170 \), etc.
(ii) Find the conclusion about their heights from the table.
Solution:
(i) The given data is large, so we construct a grouped frequency distribution table of class size 5.
This implies,
The class intervals are 160 - 165, 165 - 170 and so on.
The data is represented in the grouped frequency distribution table 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) From the given data, we can conclude that 35 students are shorter than $165\ cm$.
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