MODE
The mode is the most common value or the item with the highest frequency
Examples
Find the mode for the following set of data.
a. 2, 1, 3, 2, 5, 3, 2, 5, 6, 3, 3, 4
Mode = 3
b. 7, 4, 3, 4, 8, 7, 5, 4, 3
Mode = 4
c.
Number Of goals | 0 | 1 | 2 | 3 | 4 |
Frequency | 3 | 6 | 7 | 5 | 2 |
Mode = 2
d.
Grade | A | B | C | D | E |
Frequency | 6 | 8 | 7 | 6 | 2 |
Mode = Grade B
Exercice 8.2
a. 20 kg, 50 kg, 30 kg, 70 kg, 50 kg,
40 kg, 30 kg, 60 kg, 50 kg, 60 kg,
50 kg, 60 kg
Mode = _____ kg
b. 15 cm, 18 cm, 12 cm, 13 cm, 15 cm,
17 cm, 12 cm, 16 cm, 15 cm, 13 cm,
14 cm, 15 cm
Mode = ______ cm
c. 4, 5, 4, 2, 1, 4, 6, 7, 5, 6
Mode =
d.
Number of matches played | 1 | 2 | 3 | 4 | 5 |
Frequency | 1 | 2 | 5 | 3 | 3 |
Mode = _______matches
e.
Height ( cm ) | 120 | 121 | 122 | 123 | 124 |
Frequency | 5 | 6 | 8 | 12 | 9 |
Mode = cm
f.
Number Of goals | 0 | 1 | 2 | 3 | 4 |
Frequency | 2 | 5 | 4 | 4 | 3 |
Mode = goals
8.3 MEDIAN
The median is the value which is located in the middle of the set of values that has been arranged in increasing or decreasing order.
Examples
Determine the median from the following sets of data.
a. 2, 6, 9, 4, 3, 4, 5, 6, 7
2, 3, 4, 4, 5, 6, 6, 7, 9
Median = 5
b. 9, 7, 3, 4, 8, 6, 7
= 3, 4, 6, 7, 7, 8, 9
Median = 7
c.. 10kg, 12kg, 18kg, 10kg, 16kg
= 10, 10, 12, 16, 18
Median = 12kg
d. RM5, RM7, RM9, RM6, RM8, RM6,
RM10, RM9
= 5, 6, 6, 7, 8, 9, 9, 10
Median =
= RM7.50
Exercise 8.3
a. 3, 2, 3, 4, 7, 2, 1
Median =
b. 9, 2, 5, 1, 8, 9, 0
Median =
c. 2kg, 4kg, 1kg, 5kg, 4kg, 3kg
Median =
d. 20cm, 10cm, 30cm, 10cm, 40cm
Median =
e.
Number Of goals | 0 | 1 | 2 | 3 | 4 |
Frequency | 2 | 5 | 4 | 4 | 2 |
Total frequency = 2 + 5 + 4 + 4 + 2 =
Median = Number of goals of the ___ th
Frequency
= goals
f.
Grade | A | B | C | D | E |
Numbers of students | 6 | 12 | 9 | 8 | 2 |
Total frequency = 6 + 12 + 9 + 8 + 2 =
Median = Grade of the ____th students
=
8.4 MEAN
Mean is the sum of all the values divided by the number of data
When a set of data is given in a frequency table,