Here are the steps to find the mean from a frequency table: 1. Multiply each data value by its corresponding frequency to get the total for that value. 2. Add up all the totals to get the total of all data values. 3. Add up all the frequencies to get the total number of data. 4. Divide the total of all data values by the total number of data. For example: Data value | Frequency | Total 5 | 2 | 5 × 2 = 10 7 | 4 | 7 × 4 = 28 9 | 6 | 9 × 6 = 54 Total | | 10 + 28 + 54 =

1. Friday, January 25, 2013
AIRIL AHMAD

2. Friday, January 25, 2013
STATISTICS
BY
MR.AIRIL AHMAD
AIRIL AHMAD

3. Friday, January 25, 2013
Pictograph
Line graph
Bar graph
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4. Friday, January 25, 2013
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5. Friday, January 25, 2013
PIE CHART
A pie chart is a graphic
representation of data using
sectors of a circle. The size of
each sector shows the
percentage of the overall data it
represents.
AIRIL BIN AHMAD

6. Friday, January 25, 2013
Example 1:
Table shows the favourite fruit by
students in 3 Harmoni
Name of Strawberry Apple Banana Grape
fruits
Number of
Students
Sum of fruits that 3 Harmoni students like:
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7. Friday, January 25, 2013
Favourite Fruits
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8. Friday, January 25, 2013
Table shows the favourite fruit by
students in 3 Harmoni
Name of Strawberry Apple Banana Grape
fruit
Number of
Students
10 17 7 2
Sum of fruits that 3 Harmoni students like: 36
AIRIL BIN AHMAD

9. Friday, January 25, 2013
CALCULATION
 STRAWBERRY  APPLE
10 17
× 360 = 100
0 0 × 360 = 1700
0
36 36
 BANANA  GRAPE
7 2 0
× 360 = 70
0 0 × 360 = 20
0
36 36
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10. Friday, January 25, 2013
800 90
0
70
0 1000
How to50
draw the pie chart?`
0
600
400
300 Strawberry
200
100 Apple
1000
00
1700
20 0
Grape 700
Banana
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11. Friday, January 25, 2013
Example 2:
Table shows the favourite games by
students in 3 Amanah
Name of Baseball Basketball Bowling Golf
games
Number of
Students
Total of games that 3 Amanah students like:
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12. Friday, January 25, 2013
Favourite Games
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13. Friday, January 25, 2013
Example 2:
Table shows the favourite games by
students in 3 Amanah
Name of Baseball Basketball Bowling Golf
games
Number of
Students
8 7 3 2
Total of games that 3 Amanah students like: 20
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14. Friday, January 25, 2013
CALCULATION
 Baseball  Basketball
8 7
× 360 = 144
0 0 × 360 = 1260
0
20 20
 Bowling  Golf
3 2 0
× 360 = 54
0 0 × 360 = 36
0
20 20
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15. Friday, January 25, 2013
Example 3:
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16. Friday, January 25, 2013
EXERCISE - ORALLY
PAGE 71
EX 4.1A
1 , 2 , 3 , 4
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17. Friday, January 25, 2013
EXERCISE
PAGE 73
EX 4.1B
1 and 2 only
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18. Friday, January 25, 2013
EXERCISE - HOMEWORK
PAGE 75
EX 4.1C
1 and 2
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19. Friday, January 25, 2013
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20. Friday, January 25, 2013
MODE
BY
HJ.AIRIL AHMAD
AIRIL AHMAD

21. Friday, January 25, 2013
WHAT IS MODE???
 Mode is the most common factor or value,
with the highest frequency in a set of data.
There are two methods to determine data
mode:
a. Mode for a set data
b. Mode for data from a frequency table
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22. Friday, January 25, 2013
Mode for a set data
2 3 8 7 5 3 2 4 6 8
7 4 5 3 5 3 7 8 4 3
Solution:
1.Rearrange the number from the smallest to the biggest
22333334445556777888
2. Find the most number appears in the set.
THEREFORE, 3 IS THE MODE because 3
appears mostly in the set of data
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23. Friday, January 25, 2013
Example 1
2 8 8 7 5 3 2 4 6 8
7 4 5 3 8 3 7 8 4 8
Solution:
1.Rearrange the number from the smallest to the biggest
22333444556777888888
2. Find the most number appears in the set.
THEREFORE, 8 IS THE MODE because 8
appears mostly in the set of data
AIRIL BIN AHMAD

24. Friday, January 25, 2013
Example 2
30 35 40 55 80 90
90 55 67 90 37 55
Find the mode for the given data
The most common number in the set of data above
is……….
55 and 90
THEREFORE, 55 and 90 ARE THE MODES because 55 and
90 appear mostly in the set of data
AIRIL BIN AHMAD

25. Friday, January 25, 2013
Example 3
145 155 182 175 188 163
Find the mode for the following data
There is no mode appear in this data.
THEREFORE,
AT TIMES THERE IS MORE THAN ONE MODE IN A SET OF
DATA
OR
THERE IS NO MODE AT ALL
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26. Friday, January 25, 2013
Mode for data from a frequency table
A dice was thrown severals times and the
numbers obtained was recorded as follows:
number 1 2 3 4 5 6
frequency 5 1 4 6 1 3
4
The most common number is………
Therefore , 4 is the MODE
AIRIL BIN AHMAD

27. Friday, January 25, 2013
Example 1
The table below shows the points collected
by a group of students in a game. Find the
mode of the point.
Points 10 20 30 40
Number of students 6 13 24 7
The most common number is……… 30
Therefore , 30 is the MODE
AIRIL BIN AHMAD

28. Friday, January 25, 2013
WHAT IS MODE???
 Mode is the most common fact or value, with
the highest frequency in a set of data.
 There are two methods to determine mode:
– Mode for a set data
– Mode for data from a frequency table
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29. Friday, January 25, 2013
Exercise
 Page 80
 Ex.4.2A
 Number 1 abcd
 Number 2ab (give answer only)
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30. Friday, January 25, 2013
MEDIAN
BY
HJ.AIRIL AHMAD
AIRIL AHMAD

31. Friday, January 25, 2013
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32. Friday, January 25, 2013
MEDIAN = MIDDLE
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33. Friday, January 25, 2013
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34. Friday, January 25, 2013
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35. Friday, January 25, 2013
WHAT IS MEDIAN?
Median is the value in the middle of
the set of data when the data is
arranged in numerical order.
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36. Friday, January 25, 2013
ODD DATA
If the total number of data is
odd, then the median is located
in the middle of the set of data
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37. Friday, January 25, 2013
Example1 : Find the median of
10, 8, 7, 9, 6, 5, 7, 7,6
Rearrange
5, 6, 6, 7, 7, 7, 8, 9, 10
7
Median = 7
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38. Friday, January 25, 2013
EVEN DATA
If the total number of data is
even, then the median is
‘average’ of the two middle
values of the set of data
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39. Friday, January 25, 2013
Example 2 : Find the median of
10, 8, 8, 9, 6, 5, 7, 6, 6, 4
Rearrange
4 ,5, 6, 6, 6, 7, 8, 8, 9, 10
Median = (6+7) ÷ 2 = 13 ÷ 2 = 6.5
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40. Friday, January 25, 2013
Exercise
Find the median.
1. 12, 6, 3, 10, 2, 7, 6 3. 4kg, 8kg, 3kg, 8kg,7kg
Rearrange: Rearrange:
Median = Median =
2. 42, 34, 68, 57, 83, 67, 4. 18s, 11s, 9s, 16s, 20s,
49, 57, 45, 73 11s, 19s, 13s
Rearrange: Rearrange:
Median = Median =
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41. Friday, January 25, 2013
Exercise
Pg 85
Ex. 4.2 C
1 abcd & 2
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42. Friday, January 25, 2013
Median for data from a frequency table
a. Odd Data (example 1)
Number 1 2 3 4 5 6
frequency 5 1 4 3 1 3
17
6 10 13 14 17
The middle position is at position 17 + 1 = 9
2
3
The median is………
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43. Friday, January 25, 2013
Median for data from a frequency table
a. Odd Data (example 2)
Number of pen 1 2 3 4 5
frequency 4 3 8 2 6
The middle position is at position
The median is………
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44. Friday, January 25, 2013
b. Even data (example 1)
Points 10 20 30 40
Number of students 6 13 24 7
The middle position is at position
The median is……… 30
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45. Friday, January 25, 2013
b. Even data (example 2)
Mass (kg) 40 44 46 50
Number of students 5 15 13 7
The middle position is at position
The median is……… 45
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46. Friday, January 25, 2013
Exercise
Page 85
Ex.4.2c
Number 3 ab
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47. Friday, January 25, 2013
MEAN
BY
HJ.AIRIL AHMAD
AIRIL AHMAD

48. Friday, January 25, 2013
WHAT IS MEAN???
Mean is the average of a set of data.
Formula for mean:
Mean or ( x ) = sum of all the values of the data
total number of data
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49. Friday, January 25, 2013
Example 1:
 Find the mean of 2 , 5 , 8 , 7 and 12
 Mean
( x)
= 2 + 5 + 8 + 7 + 12
5
 Mean
( x)
= 34
5
= 6.8
AIRIL BIN AHMAD

50. Friday, January 25, 2013
Example 2:
In monthly test ,Ahmad obtains 86%
for BM, 78% for BI, 90% for
Mathematics and 76% for Science.
Calculate the mean of the data.
Mean
( x)
= 86 + 78 + 90 + 76
4
Mean
( x)
= 330
4
= 82.5
AIRIL BIN AHMAD

51. Friday, January 25, 2013
Exercise:
Find the mean:
1. 42, 34, 68, 57, 83, 67, 49, 57, 45
2. 4kg, 8kg, 3kg, 9kg, 7kg, 10kg
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52. Friday, January 25, 2013
Exercise
Pg.87
Ex.4.2D
1ab, 2
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53. Friday, January 25, 2013
Exercise
Pg.87
Ex.4.2D
1ab, 2 , 5ab, 6abc
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54. Friday, January 25, 2013
MEAN FROM THE
FREQUENCY TABLE
BY
HJ.AIRIL AHMAD
AIRIL AHMAD

55. Friday, January 25, 2013
Mean for data from a frequency table
A dice was thrown several times and the numbers obtained was
recorded as follows:
Number (n) 1 2 3 4 5 6
Frequency (f) 5 1 4 6 1 3 20
f x n 5 2 12 24 5 18 66
Mean= f x n = 66 = 3.3
f 20
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56. Friday, January 25, 2013
Example 2
Number (n) 1 2 3 4 5 6
Frequency (f) 6 2 1 5 4 3 21
f x n 6 4 3 20 20 18 66
Mean= f x n = 71 = 3.38
f 21
AIRIL BIN AHMAD

57. Friday, January 25, 2013
Example 1
The table below shows the points collected by a group of students in a game.
Find the mode of the point.
Points 10 20 30 40
Number of students 6 13 24 7 50
f x n 60 260 720 280 1320
Mean= f x n = 1320 = 26.4
f 50
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58. Friday, January 25, 2013
Exercise
Page 87
Ex.4.2D
Number 3ab & 4
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59. Friday, January 25, 2013
MEAN
PROBLEM SOLVING
BY
HJ.AIRIL AHMAD
AIRIL AHMAD

60. Friday, January 25, 2013
Example 1
 Given the mean of a set of data 2, 4, 5, 8, x,
12 is 7. Find the value of x.
 2 + 4 + 5 + 8 + x + 12 = mean
6
 x + 31 = 7
6
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61. Friday, January 25, 2013
x + 31 = 7
6
x + 31 = 7 x 6
x + 31 = 42
x = 42 - 31
x = 11
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62. Friday, January 25, 2013
Example 2
 Given the mean of a set of data 1, 2, 4, x + 3,
7, x, 8, 9 is 5. Find the value of x.
1+ 2+ 4+ x + 3+ 7+ x + 8+ 9 = mean
8
2x + 34 = 5
8
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63. Friday, January 25, 2013
2x + 34 = 5
8
2x + 34 = 5 x 8
2x + 34 = 40
2x = 40 - 34
2x = 6
x = 6
2
x =3
AIRIL BIN AHMAD

64. Friday, January 25, 2013
Exercise x, 15, 18 and 27 is 14. Find
1. The mean of 6, 8,
the value of x.
 2. The mean of 10, 15, 20, x, 30, 40 and 48 is
28. Find the value of x.
 3. The mean of 8, 12, x, 19, 24 and 30 is 18.
Find the value of x.
 4. The mean of 4, x, 5, 8 and 9 is 6.4. Find the
value of x.
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