Page 18 - Basic Statistics

13

WORKED EXERCISES SHEET

Problem 1.1 :

In Table 1.4, there is a data set that records the height of 100 male

students. Data has been sequenced from the observations of low to highest
observation. Data are grouped according to class 8, as a class formed in the first

column in Table 5.

Table 1.4 Data on height of 100 male students

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

[1,] 156 157 159 162 162 163 164 165 165 166
[2,] 166 166 166 167 167 168 168 168 169 169
[3,] 169 169 169 170 170 170 170 170 171 171
[4,] 171 171 171 172 172 172 172 172 173 173
[5,] 173 173 173 173 173 173 174 174 174 174
[6,] 174 174 174 174 175 175 175 175 175 175
[7,] 175 175 175 175 176 176 176 176 177 177
[8,] 177 177 177 178 178 179 179 179 179 179
[9,] 179 180 180 181 181 181 181 181 182 182
[10,] 182 183 183 184 186 186 188 188 193 194

a. Determine the range of data on height above. Are all the observations

can be fit onto existing classes, such as grouping the first column in

Table 5.

b. Perform Tolly to complete column 2 or the frequency of each class in
Table 5. Furthermore, complete each its column.

c. In the class containing the median, explain the actual limits of class

interval and middle point, through a presentation of images.

d. Draw a histogram and a polygon for a set of data on height that have

been grouped.
e. Create a stem and leaf diagram for the set of data on height. Explain

what happened in the stem170s, namely in its leaves

~~* CHAPTER 1 PRESENTATION OF DATA *~~