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Wednesday, April 12, 2023
AIRIL AHMAD
Wednesday, April 12, 2023
AIRIL AHMAD
STATISTICS
BYMR.AIRIL AHMAD
STATISTICS
BYMR.AIRIL AHMAD
AIRIL BIN AHMAD
Wednesday, April 12, 2023
Pictograph
Bar graph
Line graph
AIRIL BIN AHMAD
Wednesday, April 12, 2023
AIRIL BIN AHMAD
Wednesday, April 12, 2023
PIE CHARTA 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
Wednesday, April 12, 2023
Example 1:Table shows the favourite fruit by students in 3 Harmoni
Name of fruits
Number of Students
Strawberry Apple Banana Grape
Sum of fruits that 3 Harmoni students like:
AIRIL BIN AHMAD
Wednesday, April 12, 2023
Favourite Fruits
AIRIL BIN AHMAD
Wednesday, April 12, 2023
Table shows the favourite fruit by students in 3 Harmoni
Name of fruit
Strawberry Apple Banana Grape
Number of Students
Sum of fruits that 3 Harmoni students like: 36
10 17 7 2
AIRIL BIN AHMAD
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CALCULATION
STRAWBERRY APPLE
GRAPE BANANA
036036
10 036036
170100
036036
2 0360
36
7 020070
0170
AIRIL BIN AHMAD
Wednesday, April 12, 2023
How to draw the pie chart?`
1000
Strawberry
1700
Apple
700
Banana
200
Grape
00
100
200
300
400
500
600700 800 900
1000
AIRIL BIN AHMAD
Wednesday, April 12, 2023
Example 2:Table shows the favourite games by students in 3 Amanah
Name of games
Number of Students
Baseball Basketball Bowling Golf
Total of games that 3 Amanah students like:
AIRIL BIN AHMAD
Wednesday, April 12, 2023
Favourite Games
AIRIL BIN AHMAD
Wednesday, April 12, 2023
Example 2:Table shows the favourite games by students in 3 Amanah
Name of games
Number of Students
Baseball Basketball Bowling Golf
Total of games that 3 Amanah students like: 20
8 7 3 2
AIRIL BIN AHMAD
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CALCULATION
Baseball Basketball
Golf Bowling
036020
8 036020
70144
036020
2 0360
20
3 036054
0126
AIRIL BIN AHMAD
Wednesday, April 12, 2023
Example 3:
AIRIL BIN AHMAD
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EXERCISE - ORALLY
PAGE 71EX 4.1A1 , 2 , 3 , 4
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EXERCISE
PAGE 73EX 4.1B1 and 2 only
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EXERCISE - HOMEWORK
PAGE 75EX 4.1C1 and 2
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Wednesday, April 12, 2023
AIRIL AHMAD
MODE
BYHJ.AIRIL AHMAD
AIRIL BIN AHMAD
Wednesday, April 12, 2023
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 datab. Mode for data from a frequency table
AIRIL BIN AHMAD
Wednesday, April 12, 2023
Mode for a set data2 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
2 2 3 3 3 3 3 4 4 4 5 5 5 6 7 7 7 8 8 8
THEREFORE, 3 IS THE MODE because 3 appears mostly in the set of data
2. Find the most number appears in the set.
AIRIL BIN AHMAD
Wednesday, April 12, 2023
Example 12 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
2 2 3 3 3 4 4 4 5 5 6 7 7 7 8 8 8 8 8 8
THEREFORE, 8 IS THE MODE because 8 appears mostly in the set of data
2. Find the most number appears in the set.
AIRIL BIN AHMAD
Wednesday, April 12, 2023
Example 230 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
THEREFORE, 55 and 90 ARE THE MODES because 55 and 90 appear mostly in the set of data
90and
AIRIL BIN AHMAD
Wednesday, April 12, 2023
Example 3
145 155 182 175 188 163Find 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
AIRIL BIN AHMAD
Wednesday, April 12, 2023
number 1 2 3 4 5 6
frequency 5 1 4 6 1 3
A dice was thrown severals times and the numbers obtained was recorded as follows:
The most common number is………4
Therefore , 4 is the MODE
Mode for data from a frequency table
AIRIL BIN AHMAD
Wednesday, April 12, 2023
Points 10 20 30 40
Number of students 6 13 24 7
The table below shows the points collected by a group of students in a game. Find the mode of the point.
The most common number is……… 30
Therefore , 30 is the MODE
Example 1
AIRIL BIN AHMAD
Wednesday, April 12, 2023
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
AIRIL BIN AHMAD
Wednesday, April 12, 2023
Exercise
Page 80 Ex.4.2A Number 1 abcd Number 2ab (give answer only)
Wednesday, April 12, 2023
AIRIL AHMAD
MEDIAN
BYHJ.AIRIL AHMAD
Wednesday, April 12, 2023
AIRIL AHMAD
Wednesday, April 12, 2023
AIRIL AHMAD
MEDIAN = MIDDLE
Wednesday, April 12, 2023
AIRIL AHMAD
AIRIL BIN AHMAD
Wednesday, April 12, 2023
AIRIL BIN AHMAD
Wednesday, April 12, 2023
WHAT IS MEDIAN?
Median is the value in the middle of the set of data when the data is arranged in numerical order.
AIRIL BIN AHMAD
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ODD DATA
If the total number of data is odd, then the median is located in the middle of the set of data
AIRIL BIN AHMAD
Wednesday, April 12, 2023
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
AIRIL BIN AHMAD
Wednesday, April 12, 2023
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
AIRIL BIN AHMAD
Wednesday, April 12, 2023
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
AIRIL BIN AHMAD
Wednesday, April 12, 2023
ExerciseFind the median.
1. 12, 6, 3, 10, 2, 7, 6
Rearrange:
Median =
2. 42, 34, 68, 57, 83, 67,
49, 57, 45, 73
Rearrange:
Median =
3. 4kg, 8kg, 3kg, 8kg,7kg
Rearrange:
Median =
4. 18s, 11s, 9s, 16s, 20s, 11s, 19s, 13s
Rearrange:
Median =
AIRIL BIN AHMAD
Wednesday, April 12, 2023
ExercisePg 85Ex. 4.2 C1 abcd & 2
AIRIL BIN AHMAD
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Number 1 2 3 4 5 6
frequency 5 1 4 3 1 3
a. Odd Data (example 1)
The median is………3
Median for data from a frequency table
176 10 1413 17
The middle position is at position 92
117
AIRIL BIN AHMAD
Wednesday, April 12, 2023
Number of pen 1 2 3 4 5
frequency 4 3 8 2 6
a. Odd Data (example 2)
The median is………
Median for data from a frequency table
The middle position is at position
AIRIL BIN AHMAD
Wednesday, April 12, 2023
Points 10 20 30 40
Number of students 6 13 24 7
The median is……… 30
b. Even data (example 1)
The middle position is at position
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Mass (kg) 40 44 46 50
Number of students 5 15 13 7
The median is……… 45
b. Even data (example 2)
The middle position is at position
AIRIL BIN AHMAD
Wednesday, April 12, 2023
ExercisePage 85Ex.4.2cNumber 3 ab
Wednesday, April 12, 2023
AIRIL AHMAD
MEAN
BYHJ.AIRIL AHMAD
AIRIL BIN AHMAD
Wednesday, April 12, 2023
WHAT IS MEAN???
Mean is the average of a set of data.
Formula for mean:
Mean or = sum of all the values of the data total number of data
x
AIRIL BIN AHMAD
Wednesday, April 12, 2023
Example 1:
Find the mean of 2 , 5 , 8 , 7 and 12
x Mean = 2 + 5 + 8 + 7 + 12
5
Mean = 34 = 6.8
5 x
AIRIL BIN AHMAD
Wednesday, April 12, 2023
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.
xMean = 86 + 78 + 90 + 76
4
Mean = 330 = 82.5
4 x
AIRIL BIN AHMAD
Wednesday, April 12, 2023
Exercise:Find the mean:
1. 42, 34, 68, 57, 83, 67, 49, 57, 45
2. 4kg, 8kg, 3kg, 9kg, 7kg, 10kg
AIRIL BIN AHMAD
Wednesday, April 12, 2023
ExercisePg.87Ex.4.2D1ab, 2
AIRIL BIN AHMAD
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ExercisePg.87Ex.4.2D1ab, 2 , 5ab, 6abc
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AIRIL AHMAD
MEAN FROM THE FREQUENCY TABLE
BYHJ.AIRIL AHMAD
AIRIL BIN AHMAD
Wednesday, April 12, 2023
Number (n) 1 2 3 4 5 6
Frequency (f) 5 1 4 6 1 3
A dice was thrown several times and the numbers obtained was recorded as follows:
Mean= f x n = 66 = 3.3
f 20
Mean for data from a frequency table
f x n 5 2 12 24 5 18 66
20
AIRIL BIN AHMAD
Wednesday, April 12, 2023
Number (n) 1 2 3 4 5 6
Frequency (f) 6 2 1 5 4 3
Mean= f x n = 71 = 3.38
f 21
f x n 6 4 3 20 20 18 66
21
Example 2
AIRIL BIN AHMAD
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Points 10 20 30 40
Number of students 6 13 24 7
The table below shows the points collected by a group of students in a game. Find the mode of the point.
Example 1
50
f x n 60 260 720 280 1320
Mean= f x n = 1320 = 26.4
f 50
AIRIL BIN AHMAD
Wednesday, April 12, 2023
ExercisePage 87Ex.4.2DNumber 3ab & 4
Wednesday, April 12, 2023
AIRIL AHMAD
MEAN PROBLEM SOLVING
BYHJ.AIRIL AHMAD
AIRIL BIN AHMAD
Wednesday, April 12, 2023
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
AIRIL BIN AHMAD
Wednesday, April 12, 2023
x + 31 = 7 x 6
x + 31 = 42
x = 42 - 31
x = 11
x + 31 = 7
6
AIRIL BIN AHMAD
Wednesday, April 12, 2023
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
AIRIL BIN AHMAD
Wednesday, April 12, 2023
2x + 34 = 5 x 8 2x + 34 = 40
2x = 40 - 34
2x = 6 x = 6
2
x = 3
2x + 34 = 5
8
AIRIL BIN AHMAD
Wednesday, April 12, 2023
1. The mean of 6, 8, x, 15, 18 and 27 is 14. Find 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.
Exercise
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