FREQUENCY TABLES: DISCRETE UNGROUPED DATA Example 1: The pupils in Mr. Middleton's class take a Maths test and get scores out of 10, which are listed below:

6 3 9 3 7

2 5 8 8 6

5 6 7 3 7

9 7 5 7 1

10 8 9 4 5

8 7 6 6 8

Frequency table/chart Variable (xi)

Tally

1 2 3 4 5 6 7 8 9 10 N=

Absolute Frequency (fi)

1 1 3 1 4 5 6 5 3 1 30

Cumulative Absolute Frequency (Fi)

1 2 5 6 10 15 21 26 29 30

Bar graph Relative Frequency (hi)

Cumulative Relative Frequency (Hi)

0,03333 0,03333 0,03333 0,06667 0,1 0,16667 0,03333 0,2 0,13333 0,33333 0,16667 0,5 0,2 0,7 0,16667 0,86667 0,1 0,96667 0,03333 1

Absolute Frequency (fi) 7 Absolute Frequency (fi)

6 5 4 3 2 1 0 1

2

3

4

5

6

7

8

9

10

FREQUENCY TABLES: DISCRETE UNGROUPED DATA Example 1: The pupils in Mr. Middleton's class take a Maths test and get scores out of 10, which are listed below:

6 3 9 3 7

2 5 8 8 6

5 6 7 3 7

Frequency table/chart Variable (xi)

Tally

1 2 3 4 5 6 7 8 9 10 N=

Absolute Frequency (fi)

1 1 3 1 4 5 6 5 3 1 30

Cumulative Absolute Frequency (Fi)

1 2 5 6 10 15 21 26 29 30

9 7 5 7 1

10 8 9 4 5

8 7 6 6 8 Circle graph (pie chart)

Relative Frequency (hi)

Cumulative Relative Frequency (Hi)

0,03333 0,03333 0,03333 0,06667 0,1 0,16667 0,03333 0,2 0,13333 0,33333 0,16667 0,5 0,2 0,7 0,16667 0,86667 0,1 0,96667 0,03333 1

Absolute Frequency (fi)

1 2 3 4 5 6 7 8 9 10

GROUPED FREQUENCY TABLES Example 2:

We have the heights (in cm) of 30 people.

156 184 147 169 173

140 163 157 176 152

143 154 196 144 155

159 162 146 165 166

Frequency table/chart

Class interval

[139'5,149'5) [149'5,159'5) [159'5,169'5) [169'5,179'5) [179'5,189'5) [189'5,199'5)

Class mark (xi)

144'5 154'5 164'5 174'5 184'5 194'5

Absolute Frequency (fi)

6 9 7 5 2 1 30

Cumulative Absolute Frequency (Fi)

6 15 22 27 29 30

153 171 174 182 155

161 154 142 168 173 Histogram

Relative Frequency (hi)

Cumulative Relative Frequency (Hi)

0,2 0,2 0,3 0,5 0,23333 0,73333 0,16667 0,9 0,06667 0,96667 0,03333 1