From the following data relating to weights of 36 students in pounds, find out the following

- obtain the range of weights of students

-dinvide the range into appropriate no. of class intervals

-find the no. of students whose weight is less than 145 pounds, more than 155 pounds, between 135 and 155 pounds

138 164 150 144 168 126 142 135 140 131 144 125 138 176 163 135 161 145 149 157 146 119 150 165 150 156 154 140 146 128 173 115 135 176 167 187

Hey Vishva,

Check the solution for the above listed numerical.
 
Weight
(in pounds)
Frequency
(f)
115
119
125
126
128
131
135
138
140
142
144
145
146
149
150
154
156
157
161
163
164
165
167
168
173
176
187
1
1
1
1
1
1
3
2
2
1
2
1
2
1
3
1
1
1
1
1
1
1
1
1
1
2
1
                                N=Σf=36

1. Range of the series = Highest value of the series-Lowest value of the series
                                  = 187 pounds-115 pounds= 72 pounds

2.  Since, range is 72

Let the width of the class=10

Thus, no. of class intervals = 7210=7.28

Hence, there will be eight (8) class intervals as follows:
 
Class Intervals
 110-120
 120- 130
 130- 140
 140- 150
 150- 160
 160- 170
 170- 180
 180- 190

3.
i. No. of students whose weight is less than 145 pounds = fw=115144=16 students

ii.​No. of students whose weight is more than 155 pounds = ​fw=156187=12 students

iii.​No. of students whose weight is between 135 and 155 pounds= Σf  where,  138f154= 15 students

Hope it helps!!






 

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