Basic mathematicsWan Nor Amalina Binti Wan Othman

Nor Amira Binti Mat ShukriNurul Husna Binti Sahidan

Nurul Nabila Binti Shari

In group of four, we had made a one survey in Institut Pendidkan Guru Kampus Perlis, it about how many times have students spend returned to their home per semester and where state are they from. This work are required to collecting data, managing and representing data in visual representing. In statistics, we will learned about

how to collecting, organizing, summarizing, presenting and analyzing data as well as with

drawing valid conclusions and making reasonable decisions on the basic such analysis.

introduction

Consist of description using term where the information are non-numeric.

For data of qualitative we had done survey about the amount of students in each state.

We choose this topics because there are many students comes from different state in all over Malaysia.

qualitative

Consist of exact value research generates numerical data or data

that can be converted into numbers we are survey about the frequency of

student’s IPG Kampus Perlis returned their home per semester.

quantitative

STATE TALLY AMOUNT OF STUDENTS

PERCENTAGE(%)

KEDAH IIII IIII IIII III 18 28

KELANTAN IIII IIII I 11 17

PULAU PINANG IIII 4 6

TERENGGANU IIII II 7 10

PERLIS IIII 4 6

PAHANG I 1 2

PERAK IIII IIII II 12 18

SELANGOR I 1 2

KUALA LUMPUR II 2 3

MELAKA II 2 3

SABAH II 2 3

JOHOR I 1 2

Data of survey(qualitative)The amount of students in each states

5 2 10 1 5 5 10 12 9 4

2 6 2 17 2 10 3 2 1 1

6 5 2 1 1 1 6 10 1 6

8 10 2 25 7 2 5 2 2 20

10 9 10 8 5 4 2 10 3 2

15 10 5 9 7 10 3 10 2 2

3 3 2 2 1 - - - -

CLASS INTERVAL TALLY FREQUENCY

1 – 5 IIII IIII IIII IIII IIII IIII IIII III 38

6 – 10 IIII IIII IIII IIII II 22

11 – 15 II 2

16 – 20 II 2

21 - 25 I 1

Ungrouped data for quantitative data.

The frequency of students returned their home.

qualitative

STATE TALLY AMOUNT OF STUDENTS

PERCENTAGE(%)

KEDAH IIII IIII IIII III 18 28

KELANTAN IIII IIII I 11 17

PULAU PINANG IIII 4 6

TERENGGANU IIII II 7 10

PERLIS IIII 4 6

PAHANG I 1 2

PERAK IIII IIII II 12 18

SELANGOR I 1 2

KUALA LUMPUR II 2 3

MELAKA II 2 3

SABAH II 2 3

JOHOR I 1 2

Bar chartThe amount of students in each state

KEDAH

KELANTA

N

PULAU P

INANG

TEREN

GGANU

PERLIS

PAHANG

PERAK

SELA

NGOR

KUALA LU

MPUR

MELAKA

SABAH

JOHOR

0

2

4

6

8

10

12

14

16

1828%

17%

6%

10%

6%

2%

18%

2%3% 3% 3%

2%

THE AMOUNT OF STUDENTS IN EACH STATE

Series 1

STATE

AMO

UN

T O

F ST

UD

ENTS

STATE AMOUNT OF STUDENTS

PERCENTAGE(%)

ANGLE( º )

KEDAH 18 28 100

KELANTAN 11 17 61

PULAU PINANG 4 6 22

TERENGGANU 7 10 38

PERLIS 4 6 22

PAHANG 1 2 6

PERAK 12 18 66

SELANGOR 1 2 6

KUALA LUMPUR 2 3 11

MELAKA 2 3 11

SABAH 2 3 11

JOHOR 1 2 6

Pie chartThe amount of students in each state

28%

17%6%11%6%2%

18%

2%3% 3% 3% 2%

THE PERCENTAGE OF STUDENTS IN EACH STATE

KEDAH

KELANTAN

PULAU PINANG

TERENGGANU

PERLIS

PAHANG

PERAK

SELANGOR

KUALA LUMPUR

MELAKA

SABAH

JOHOR

quantitative

histogram

CLASS INTERVAL

FREQUENCY LOWER BOUNDARY

UPPER BOUNDARY

MIDPOINT

1 – 5 38 0.5 5.5 3

6 – 10 22 5.5 10.5 8

11 – 15 2 10.5 15.5 13

16 – 20 2 15.5 20.5 18

21 – 25 1 20.5 25.5 23

THE DATA OF FREQUENCY OF STUDENTS RETURNED HOME PER YEAR.

0

5

10

15

20

25

30

35

40

THE FREQUENCY OF STUDENTS RETURNED HOME

CLASS

FREQ

UEN

CY

0.5 5.5 10.5 15.5 20.5 25.5

Bar chartCLASS

INTERVALTALLY FREQUENCY MIDPOINT

1 – 5 IIII IIII IIII IIII IIII IIII IIII III 38 3

6 – 10 IIII IIII IIII IIII II 22 8

11 – 15 II 2 13

16 – 20 II 2 18

21 - 25 I 1 23

The data of frequency students returned their home per semester

0

5

10

15

20

25

30

35

40

THE FREQUENCY STUDENTS RETURNED HOME PER SEMESTER

Series 1

MIDPOINT

FREQ

UEN

CY

3 8 1813 23

Pie chartCLASS INTERVAL FREQUENCY PERCENTAGE

(%)ANGLE

( º )

1 – 5 38 58 210

6 – 10 22 34 122

11 – 15 2 3 11

16 – 20 2 3 11

21 – 25 1 2 6

TOTAL 65 100 360

58%

34%

3% 3% 2%

THE FREQUENCY OF STUDENT RETURNED HOME PER SEMESTER

1 - 5 6 - 10

11 - 15 16 - 20

21 - 25

OGIVE

Class interval Frequency Cumulative frequency

Upper boundary

0 0 0 0

1 – 5 38 38 5.5

6 – 10 22 60 10.5

11 – 15 2 62 15.5

16 – 20 2 64 20.5

21 – 25 1 65 25.5

0 5 10 15 20 25 300

10

20

30

40

50

60

70

the frequency of students returned home

upper boundary

cum

ulat

ive

freq

uenc

y

m=4.78

Line graph

Class interval Frequency Midpoint Upper boundary

1 – 5 38 3 5.5

6 – 10 22 8 10.5

11 – 15 2 13 15.5

16 – 20 2 18 20.5

21 – 25 1 23 25.5

0 3 8 13 18 23 280

5

10

15

20

25

30

35

40

Frequency of students returned homeFrequency

midpoint

Mode Median Mean

Central distribution

the value that occurs the most often in a set of data.

Mode = is the class interval which have the highest frequency

The mode for this survey is the clas interval 1 – 5 which appears thirty-eight times (38).

Mode

The median of a distribution with a discrete random variable depends on whether the number of terms in the distribution is even or odd.

m = medianL = lower boundaryF = median classC = size of classN = class m = L + (1/2N – F)C f

m = 0.5 + (1/2 (65) -0 ) 38

m = 4.78

Median

5

Mean = sum of ( midpoint x frequency)

sum of frequency= ∑fx ∑f= ( 3x38 ) + ( 8x22 ) + ( 13x2 ) + ( 18x2 ) + ( 23x1 ) 38 + 22 + 2 + 2 + 1

= 5.77 times

Mean

Following on our comments, we can make a simple and clear conclusion that the Institut Pendidikan Guru Kampus Perlis students rarely returned their home in every month per semester. There are most from around north like Kelantan, Pahang and so on. the students who comes from north are mostly back to their home in every weeks.This data was proven through the survey that we have done. Among 65 students that we ask how much times they returned home and we get the result that 38 of them not rarely back their home around only once until five times in a semester.

Conclusion

From the data of qualitative are shows most students who studies here are from Kedah and Perak for students from group PPISMP 3RD semester intake July 2009. Each have 18 and 12 students included male and female. For the state of Selangor, Pahang and Johor only a students in each state get in and they are the best students from else who the lucky to continue their future study and become a teachers.

The end