Question

The Heights of 50 students, measured to the nearest centimeters, have been found to be as follow:

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?

Answer 1

Hint: In the question we are given a various variety of heights of 50 students. We need to make an arranged frequency distribution table and to make this table we need to first find out the number of students having a various range of heights such as the number of students between 160-165 cm. Now, we have a problem that should include the number of students having height 155, 160, 165, 170, 175 in that range. So, what we can do is, make two tables, one including the height and second excluding.

Complete step-by-step answer:
As per the data given in the question,
  Show the given data in tabular form.
Frequency table $\left( {150 - 155} \right)$,$155$ not included

Class	Frequency
150-155	12
155-160	9
160-165	14
165-170	10
170-175	5

Frequency table $\left( {150 - 155} \right)$ , $155$ included

Class	Frequency
150-155	12
155-160	11
160-165	16
165-170	8
170-175	3

So, the data given in the Question is now in the frequency distribution table form.
 From both of the table, we can conclude that,
 Maximum number of students has height in between ($160 - 165$ cm)
And Minimum number of students has height in between ($170 - 175$cm)
Note: We can see that the given data is so big and mistakes could be made there so be careful analyzing the data. Tables should be made in a proper format one for including the height other for excluding the height.