# Matematika: O’qituvchi

 Sana 06.11.2023 Hajmi 431.75 Kb. #1751508
Bog'liq
1-ma\'ruza

## O’qituvchi:

1-Ma’ruza: Sonlar nazariyasi. EKUB va EKUK

## Reja:

• Sonlar to’plami. Natural sonlar va ular ustida amallar
• Qo’shish va Ko’paytirishning xossalari. Qavslarni ochish.
• Umumiy ko’paytuvchini qavsdan tashqariga chiqarish.
• Bo’linish belgilari
• Qoldiqli bo’lish.
• Tub ko’paytuvchilarga ajratish. Natural bo’luvchilar soni(NBS)
• EKUB va EKUK

## Sonlar to’plami

• Natural sonlar to’plami-N:N={1,2,3,4,5…}
• Butun sonlar to’plami-Z:Z={...,-3,-2,-1,0,1,2,3,4}
• Raqtisonal sonlar to’plami-Q:Q={}

h
t
I: √2, -√3, 4+√5, √¼
Q:
1/2, -3/5, -7/3, 15/5,
0.2,1.4
Z:
…-5,-4,-3,-2,-1,0,1,2,3,4,5…
N
1,2,3,4,5…
R:
N,Z,Q,Ig

## Qualitative data are

• measures of 'types' and may be represented by a name, symbol, or a number code.
• Qualitative data are data about categorical variables (e.g. what type).

PDP University
Basic Definition Of Quantitative data
Quantitative = Quantity
Quantitative data are
measures of values or counts and are expressed as numbers.
data about numeric variables (e.g. how many, how much or how often).
Data collected about a numeric variable will always be quantitative and data collected about a categorical variable will always be qualitative. Therefore, you can identify the type of data, prior to collection, based on whether the variable is numeric or categorical.
PDP University

PDP University

## Graphic Form Of Qualitative (Categorical) Data

Column graph showing the frequency counts of occupation for 20 people.
Doctor - 5
Bus driver - 9
Teacher - 6
As absolute frequencies can be calculated on quantitative and qualitative data, relative frequencies can also be produced, such as percentages, proportions, rates and ratios. 8 people worked < 30 hrs.
Graphic form of quantitative data
Column graph showing the frequency counts of hours worked per week for 20 people.
Hours worked:
Less than 10 - 1
10 to less than 20 - 3
20 to less than 30 - 4
30 to less than 40 - 8
40 to less than 50 - 3
50 to less than 60 - 1
For each variable below, identify each as either quantitative or categorical
Quiz Question 1
Correct answers to the quiz 1
Quiz Question 2
For each variable below, identify each as either quantitative or categorical
Correct answers to the quiz 2
Quiz Question 3
Correct answers to the quiz 3