The heights of `50` students, measured to the nearest centimetres, 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 about their heights from the table?

Explanation

With the given data we can see that the minimum value is `150` and the maximum value is `173`.

So, we can create class intervals `150-155,155-160,160-165,165-170,170-175`

Then, we can mark the frequency of the number of students with each class interval.

Please refer to video for complete frequency distribution table.

From the frequency distribution table, we can see that,

Number of students having height less than `165` cms `= 12+9+14 =35`

Number of students having height less than `165` cms `= 10+5 =15`

Thus, we can conclude that `70%` of the students have height less than `165` cms.