4. A. The Definition Of Statistic
• Statistics is a study or scientific method of
collecting, organizing, processing, presenting, an
alizyng data and drawing a conclusion according
to the result of the data analysis.
5. 1) Presenting Data
From the following definition, we know that
statistics is closely releated to data.
• Data is the information obtained from the
result of observation or research .
• The singular form of data is datum
• Data can describe a situation, so that based
on the data we can draw a conclution
6. According to the types, data can
be divided into two. They are :
1. Qualitative data
are data releated to the category or
characteristic of an object.
For examples :
a. Data about the cleanest country in the
world (Singapore, Japan, Australia, or the
other)
b. Data about the best female singer
(BoA, Taylor Swift, Beyonce, Rihanna, Whitney
Housten or the other)
Qualitative data are usually obtained by interview
7. 2. Quantitative data, are obtained from
the result of numerical recording (in
the form of numbers)
For examples are :
a. Data about the weight in the class
(48kg, 45.5kg, 45kg, 49kg, 48kg,
50kg and so on)
b. Data about the number of sister (2,
3, 2, 4, 1, 0 and so on)
8. As we know, the data are used to draw a
conclusion. But before draw a conclusion, the
data that have been collected beforehand
arranged, processed, presented, then analyzed
carefully, accurately and according to the right
theory.
Based on the data that have been analyzed, we
can draw a conclusion
There are several examples of conclutions :
a. The average of students in the class IX E is 14
years old
b. The favorite teacher in Nedusi is Mr. Yoko
c. The favorite subject in class IX E is Mathematic
9. 2). Collection of Data
• Collection of data is the beginning stage (the
first step) in the statistical activity.
• Collecting data can be performed by interview
of questionnaire, then continued by one of the
following activities :
a. Counting
b. Measuring
c. Recording data by tallies
10. 3). Ordering Single Data
• Simple data is only consist of relatively small
data.
• It isn’t necessary to group them, ordering data
is enaugh
• In general, the collected statiscal data are still
scattered and the measurement isn’t in order.
• However, to simply presentation and processing
of data, we need to order them from the
lowest value to the highest value. After the
data are ordered, we can determine the highest
and the lowest value of data.
11. Measures Of Central Tendency
• The collected and even the ordered data
don’t automatically give clear information.
• To get clearer information, we need
measures to represent the collection of
data.
• The measures are known as the measures
of central tendency
• By knowing measures of central
tendency, we can find out the value of the
centralized data.
12. The Measures Of Central
Tendency Consist Of 3
Measures, Namely :
1. MEAN (arithmetic mean)
2. MODE (the value that occurs most
often)
3. MEDIAN (the middle value)
13. 1. Mean
• In statistic, the average value is usually called
arithmetic mean or simply mean.
• So, mean is the average value of all data values
• Mean is one of the measures of central tendency that
is most often used.
• The mean of data set is the sum of all data values
divided by the number of data.
X
☞ X
n
Example : Data = 7 8 9 8 5 9 9 6 4
The ordered data =4 5 6 7 8 8 9 9 9
= 7.3
14. 2. Mode
• Mode is generally used to express the tendency which
most frequently happens.
• In statistics, the mode means the value that occurs
most frequently or the value of highest frequency.
Example :
Data = 3 5 8 6 5 9 8 8 6 No. Marks Tally Frequency
The ordered data = 3 5 5 6 6 8 8 8 8 9 1. 3 l 1
2. 5 ll 2
3. 6 ll 2
Based on the data above, the 4. 8 llll 4
value of highest frequency is 5. 9 l 1
8
So, the mode is 8
15. 3. Median
• Median is a measure of central tendency used to analyze data.
• If the number of data ordered is odd, then the median is the
data value right in the middle that divides the data into two
equal parts
• And if the number of data ordered is even, then the median is
the mean of two data values in the middle
Median = The middle value after being ordered
Example :
a. If n is odd, then the median is Data : 9 9 7 5 8 7 3 6 4
The ordered data : 3 4 5 6 7 7 8 9 9
Because n is odd (9), so the median is
in the order to :
b. If n is even, then the median is 5
Median = 3 4 5 6 7 7 8 9 9
4 Median 4
So, the median is 7
16. C. The Presentation Of
Data
• The data collected and ordered according to the need should be
presented in a certain form in such away that they can be read
and interpreted easily
The presentation of statiscal data can be performed in two
methods, they are :
1. Presented in the form of list or table
a. Frequency table of single data
b. Frequency table of grouped data
2. Presented in the form of a diagram or graph
a. Pictogram (A method of presenting information using picture)
b. Bar chart (A method of presenting data in bars)
c. Line graph (A method of presenting data in a line)
d. Pie charts (A method of presenting data in a circular region)
21. Quartile
• Quartile means the grouping of four, split the
data that has been sorted into four equal
parts.
• To present quartile, we used Q symbol.
Q₁ = initial quartile / bottom quartile (¼)
Q₂ = middle quartile / median (¾)
Q₃ = upper quartile (²⁄₄)
22. We Have Some
Observation In Class
VII C And Class VII G
Curious ?
Do you want to know ?
Serious ?
Okay Let’s check it out !
23.
24. Observation In Class VII G
(Quantitative Data)
Questions :
1. How many sister
do you have?
2. How many
brother do you
have?
3. When you were in
class six, what
rank did you get ?
25. 1. The Number of Sisters
Owned by Students of VII G
Sisters
12
10
Haven't Sister
Students
8
Have 1 Sister
6
Have 2 Sisters
4
Have 3 Sisters
2 Have 4 Sisters
0 Have 5 Sisters
Haven't Have 1 Have 2 Have 3 Have 4 Have 5
Sister Sister Sisters Sisters Sisters Sisters
26. So, from the data we can make a
conclution :
a. The students that haven’t sister are 10 students
b. The students that have 1 sister are 8 students
c. The students that have 2 sisters are 6 students
d. The students that have 3 sisters are 2 students
e. The student that have 4 sisters is nothing
f. The students that have 5 sisters are 2 students
The number of students that have the most sister are 2 students
And the students that haven’t sister are 4 students
27. 2. The Number of Brothers Owned
by Students of VII G
Broters
Students That Haven't
6 Brother
10 Students That Have 1
Brother
3 Students That Have 2
Brothers
Students That Have 3
9
Brothers
28. So, from the data we can make
the conclution :
a. The students that haven’t brother 10 students
b. The students that have 1 brother are 9 students
c. The students that have 2 brothers are 3 students
d. The students that have 3 brothers are 6 students
e. The student that have 4 brothers and 5 brothers is nothing
The number of students that have the most brothers (3 brothers) are
6 students
And the number of students that haven’t brother are 10 students
29. 3. The Rank Of Ranked
Students
Students VII G
1
2
When They 3
4
Were In Class 5
Six
8
9
10
11
12
13
14
18
19
20
30. 4. The Interest or The Favorite
Language in Grade VII C
Favorite Language
Bahasa Indramayu
France Bahasa Indonesia
English
Japan
Japan
English France
Bahasa Indramayu
Bahasa Indonesia
0 2 4 6 8 10 12 14
31. Observation In Class VII C
(Qualitative Data)
Question :
1. What kind of
language do you like ?
2. Which country will be
visited most ?
3. Which city will you go
to your studytour ?
32. So, From The Data We Can Make
Conclution :
a. The students who interested Bahasa Indonesia are 3
students
b. The students who interested English are 14 students
c. The students who interested Japan Language are 9
students
d. The students who interested France are 2 students
e. The student who interested Indramayu Language is
nothing
So, English is the most interested
language. And Indramayu language isn’t
interested with all students VII C
33. 5. The Country Will Be Visited Most By
Students VII C
The Countries
4% 4% 3%
7%
South Korea
41%
24%
Japan
17% France
Saudi Arabia
Holand
Rumania
The number of students VII C is 28 Australia
students
34. So, from the data we can make
the conclution :
o The number of students VII C will be visited South Korea are 12
students
o The number of students VII C will be visited Japan are 5 students
o The number of students VII C will be visited France are 7 students
o The number of students VII C will be visited Saudi Arabia are 2
students
o The number of students VII C will be visited Holand is 1 student
o The number of students VII C will be visited Rumania is 1 student
o The number of students VII C will be visited Australia is 1 student
So, the city will be visited most is South Korea
And the city will be visited least is Holand, Rumania, and Australia
35. 6. The City That Very Want To
Visit To Your Studytour
12
10
Bali
8 Lombok
Yogyakarta
Frequency
6
Paris
4
Jakarta
2 Bandung
Raja Ampat
0
0 2 4 6 8
-2
36. So, from the data we can make
the conclution
• The students who choose Bali to visit to their studytour are 11 students
• The students who choose Lombok to visit to their studytour are 5
students
• The students who choose Yogyakarta to visit to their studytour are 2
students
• The students who choose Paris to visit to their studytour are 5 students
• The student who choose Jakarta to visit to their studytour is nothing
• The student who choose Bandung to visit to their studytour is nothing
• The student who choose Raja Ampat to visit to their studytour is 1
student
So, the city that most choose to visit to students of VII C’s studytour
is South Korea
And the cities that not choose to visit to students of VII C’s studytour
are Jakarta and Bandung
37. We Have Learn About
Statistics
So, please answer these
exercises
38. EXERCISE
1. Given the following data
2681435394
6842552555
4877694675
Based on the data above :
a. Make the frequency table
b. Find the mean, the mode and the median
39. 2. The mean mark of
mathematics test of 15
students is 8.6 if
Sofhie’s mark is
included, then the mean
mark becomes 8.7 find
Dinda’s mark in the test.
3. The mean weight of a
group of children is 38 kg.
Children having a mean
weight of 40 kg are
added, then the mean
weight becomes 38.4 kg.
Find the number of
children at first
40. 4. Consider the table below
KINDS OF PEOPLE’S OCCUPATIONS
IN VILLAGE A
NO. Kinds Of Occupations Frequency
1 Public Servants 56
2 Private Employees 42
3 Farmers 84
4 Traders 126
5 Workers 28
The frequency table above shows the data about the
kinds of occupations of people at a village. Make a pie
chart based on the data.
41. 5. The number of classes and the class
interval in the table of frequency
distribution respectively are ...
Value Frequency
30-34 2
35-39 7
40-44 11
45-49 4
50-54 3