Page 41 - Basic Statistics

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Table 2.4 Raw data : Students height

[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10]

[1,] 155 169 162 166 176 162 160 144 159 159
[2,] 162 149 167 162 161 163 153 163 153 143
[3,] 164 156 159 166 162 158 150 166 160 169
[4,] 168 148 170 168 172 156 160 161 157 158
[5,] 158 165 170 163 165 162 156 155 157 164
[6,] 167 164 154 155 161 154 157 160 162 169
[7,] 163 165 158 164 169 161 163 166 153 170
[8,] 156 163 161 156 150 171 160 151 163 167
[9,] 165 174 170 159 167 165 168 150 172 157
[10,] 165 160 154 164 158 160 170 160 164 159

Table 2.5 Frequency distribution

Classes Frequencies Midpoint Cumulative Relative
(cm) ( fi ) ( xi ) Frequencies Frequencies ( %)

140 - 144 2 142 2

145 - 149 2 147 4
150 - 154 …. …. ….

155 - 159 …. …. ….
160 - 164 …. …. ….

165 - 169

170 - 174
175 - 179

N = 100 ….. -- 100

Worked solution:

Q1 lies in the (n/4)th observation, where n / 4 = …./4 = …..

In the column of cumulative frequencies, the (......)th observation contained in

the class “ .... - ..... “. thus,

~~* CHAPTER 2 NUMERICAL MEASURES TO SUMMARIZE DATA *~~