The heights of 50 students, measured to the nearest centimetres, have been found to be as follows:(i) Represent the data given above by a grouped frequency distribution table

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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 $165\ cm$.

Updated on 10-Oct-2022 13:47:01