Monday 9 July 2012

STATISTICS I AND II


            
   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


Cloud Callout: Which data has the highest frequency !!!
 





   



            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

Oval Callout: The highest 
frequency 





            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


Rectangular Callout: Re-arrange the numbers in sequence
 





            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,

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