note math pmr statistics

Wednesday, April 12, 2023

AIRIL AHMAD


AIRIL AHMAD

STATISTICS

BYMR.AIRIL AHMAD

STATISTICS

BYMR.AIRIL AHMAD

AIRIL BIN AHMAD


Pictograph

Bar graph

Line graph

AIRIL BIN AHMAD


AIRIL BIN AHMAD


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


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


Favourite Fruits

AIRIL BIN AHMAD


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


CALCULATION

STRAWBERRY APPLE

GRAPE BANANA

036036

10 036036

170100

036036

2 0360

36

7 020070

0170

AIRIL BIN AHMAD


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


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


Favourite Games

AIRIL BIN AHMAD


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


CALCULATION

Baseball Basketball

Golf Bowling

036020

8 036020

70144

036020

2 0360

20

3 036054

0126

AIRIL BIN AHMAD


Example 3:

AIRIL BIN AHMAD


EXERCISE - ORALLY

PAGE 71EX 4.1A1 , 2 , 3 , 4

AIRIL BIN AHMAD


EXERCISE

PAGE 73EX 4.1B1 and 2 only

AIRIL BIN AHMAD


EXERCISE - HOMEWORK

PAGE 75EX 4.1C1 and 2

AIRIL BIN AHMAD



AIRIL AHMAD

MODE

BYHJ.AIRIL AHMAD

AIRIL BIN AHMAD


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


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


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


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


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


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


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


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


Exercise

Page 80 Ex.4.2A Number 1 abcd Number 2ab (give answer only)


AIRIL AHMAD

MEDIAN

BYHJ.AIRIL AHMAD


AIRIL AHMAD


AIRIL AHMAD

MEDIAN = MIDDLE


AIRIL AHMAD

AIRIL BIN AHMAD


AIRIL BIN AHMAD


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


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


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


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


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


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


ExercisePg 85Ex. 4.2 C1 abcd & 2

AIRIL BIN AHMAD


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


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


Points 10 20 30 40


The median is……… 30

b. Even data (example 1)


AIRIL BIN AHMAD


Mass (kg) 40 44 46 50


The median is……… 45

b. Even data (example 2)


AIRIL BIN AHMAD


ExercisePage 85Ex.4.2cNumber 3 ab


AIRIL AHMAD

MEAN

BYHJ.AIRIL AHMAD

AIRIL BIN AHMAD


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


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


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


Exercise:Find the mean:

1. 42, 34, 68, 57, 83, 67, 49, 57, 45

2. 4kg, 8kg, 3kg, 9kg, 7kg, 10kg

AIRIL BIN AHMAD


ExercisePg.87Ex.4.2D1ab, 2

AIRIL BIN AHMAD


ExercisePg.87Ex.4.2D1ab, 2 , 5ab, 6abc


AIRIL AHMAD

MEAN FROM THE FREQUENCY TABLE

BYHJ.AIRIL AHMAD

AIRIL BIN AHMAD


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


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


Points 10 20 30 40


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


ExercisePage 87Ex.4.2DNumber 3ab & 4


AIRIL AHMAD

MEAN PROBLEM SOLVING

BYHJ.AIRIL AHMAD

AIRIL BIN AHMAD


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


x + 31 = 7 x 6

x + 31 = 42

x = 42 - 31

x = 11

x + 31 = 7

6

AIRIL BIN AHMAD


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


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


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

note math pmr statistics

Documents

mode airil bin ahmad

set of data airil bin

airil ahmadairil ahmad

allairil bin ahmad

bananaairil bin ahmad

set of dataairil bin

set data mode

middleairil ahmad