MATH FINAL LONG QUIZ Flashcards

1
Q

Two. Ancient mathematicians.

A

Euclid and Pappus

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2
Q

The study of the methods, and rules of discovery and
invention

A

HEURISTICS

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3
Q

RENE DESCARTES

A

1596-1650

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4
Q

Contributed to the field of heuristics

A

René Descartes

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5
Q

Gottfried Wilhelm Leibnitz

A

(1646-1716)

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6
Q

ART OF INVENTION

A

Gottfried Wilhelm Leibnitz

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7
Q

“Nothing is more important than to see the sources of invention which are, in my opinion, more interesting than the inventions themselves.”

A

GOTTFRIED WILHELM LEIBNITZ

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8
Q

George Polya

A

(1887-1985).

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9
Q

was born in Hungary and moved to the United States in 1940.

A

GEORGE POLYA

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10
Q

Polya’s Four-Step Problem-Solving Strategy (UDCR)

A
  1. UNDERSTAND THE PROBLEM
  2. DEVISE A PLAN
  3. CARRY OUT THE PLAN
  4. REVIEW THE SOLUTION
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11
Q

This part of Polya’s four step strategy is often overlooked. You must have a clear understanding of the problem.

A

UNDERSTAND THE PROBLEM

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12
Q

Successful problem solvers use a variety of techniques when they attempt to solve a problem. Here are some frequently-used procedures.

A

DEVISE A PLAN

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13
Q

Once you have devised a plan, you must carry it out.

A

CARRY OUT THE PLAN

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14
Q

Once you have found a solution, check the solution.

A

REVIEW THE SOLUTION

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15
Q

When you are not sure how to start, guess an answer and then check it. In the process of checking a guess, you me see a way of revising your quess to get closer to the answer or to get the exact answer.

A

GUESS AND CHECK

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16
Q

Some problem describe relationships that involve regular sequence of number or other things. To solve the problem you need to be able
to recognize and describe the pattern that gives the relationship for the numbers or things. One
way to recognize the information given is a make a table.

A

MAKE A TABLE AND LOOK FOR A PATTERN

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17
Q

Some problems can be solve without the use of numbers. They can be solved by the use of logical reasoning, given some information.

A

USE OF LOGICAL REASONING

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18
Q

To solve some problems you need to start with the end result and work backward to the beginning

A

WORKING BACKWARDS

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19
Q

Making an organized list will lead you to work logically and systematically.

A

MAKE AN ORGANIZED LIST

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20
Q

Algebraic expression are use to represent information and solve problems. We used a variable for the unknown quantity and express the given information in an equation.

A

WRITE AND SOLVE EQUATION

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21
Q

7 OTHER STRATEGIES GMSUWMW

A

•Guess & Check

•make a table & look for a pattern

•Solving similar but simple problems

•Use of logical reasoning

•Working backwards

•Make an organized list

write and solve the
Equation

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22
Q

a problem that can be solved, or a question that can be answered, with the tools of mathematics

A

MATH PROBLEM

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23
Q

defined as the process of using various graphical formats to visually represent the relationship between two or more data sets, so that an informed decision can be made based on them.

A

Data presentation

24
Q

3 Methods Of Presenting Data TTG

A
  1. 𝑇𝑒𝑥𝑡𝑢𝑎𝑙 𝑀𝑒𝑡h𝑜𝑑 - a narrative description of the data gathered
  2. 𝑇𝑎𝑏𝑢𝑙𝑎𝑟 𝑀𝑒𝑡h𝑜𝑑 - a systematic arrangement of information into columns and rows
  3. 𝐺𝑟𝑎𝑝h𝑖𝑐𝑎𝑙 𝑀𝑒𝑡h𝑜𝑑 - an illustrative description of the data
25
Q

narrative description of the data gathered

A

𝑇𝑒𝑥𝑡𝑢𝑎𝑙 𝑀𝑒𝑡h𝑜𝑑

26
Q

systematic arrangement of information into columns and rows

A

TABULAR METHOD

27
Q

illustrative description of the data

A

GRAPHICAL METHOD

28
Q

FDT

A

Frequency Distribution Table

29
Q

is a statistical table showing the frequency or number of observations contained in each of the de ined classes or categories

A

Frequency Distribution Table

30
Q

4 Parts of a Statistical Table TBstC

A
  1. 𝑇𝑎𝑏𝑙𝑒 𝐻𝑒𝑎𝑑𝑖𝑛𝑔 – includes the table number and the title of the table
  2. 𝐵𝑜𝑑𝑦 – main part of the table that contains the information or igures
  3. 𝑆𝑡𝑢𝑏𝑠 𝑜𝑟 𝐶𝑙𝑎𝑠𝑠𝑒𝑠 – classi ication or categories describing the data and usually found
    at the left most side of the table
  4. 𝐶𝑎𝑝𝑡𝑖𝑜𝑛 – designations or identi ications of the information contained in a column,
    usually found at the top most of the column
31
Q

includes the table number, and the title of the table

A

table heading

32
Q

main part of the table that contains the information or figures

A

body

33
Q

classification or categories, describing the data, and usually found at the left most side of the table

A

Stubs or classes

34
Q

designations or identi ications of the information contained in a column,
usually found at the top most of the column

A

Caption

35
Q

two types of FDT

A

qualitative or categorical FDT
quantitative FDT

36
Q

a frequency distribution table where the data are grouped according to some qualitative characteristics, data are grouped into non numerical categories

A

qualitative or categorical FDT

37
Q

a frequency distribution table where the data are grouped according to some numerical or quantitative characteristics

A

Quantitative FDT

38
Q

4 qualities of a good graph

A

accurate, clear simple, has a good appearance

39
Q

A graph used to present measurements are values that are thought to be related

A

Scatter graph

40
Q

graphical presentation of data, especially useful for showing trends over a period of time

A

Line chart

41
Q

A circular graph that is useful in showing how a total quantity is distributed among a group of categories

A

Pie chart

42
Q

They should be used for discreet group, data, or ordinal or nominal scale

A

column and bar graph

43
Q

A bar graph that displays the classes on the horizontal axis

A

frequency histogram

44
Q

A graph that displays the classes on the horizontal axis

A

relative frequency histogram

45
Q

A line chart that is constructed by blocking the frequencies at the class marks, and connecting the plotted points

A

Frequency polygon

46
Q

graphs of the cumulative frequency distribution

A

Ogives

47
Q

status

A

state

48
Q

in ancient times, statistics was used

A

By state leaders to know how much tax to Levy their subjects

49
Q

in statistics is always a result of experiment observation investigation, in other means

A

Data

50
Q

two types of statistics

A

Descriptive, and inferential statistics

51
Q

deals with the collection and presentation of data to describe its group characteristics

A

Descriptive statistics

52
Q

deals with the predictions and inferences based on the analysis and interpretation of the results

A

Inferential statistics

53
Q

A numerical, characteristic or attribute. They are further classified as categorical or qualitative in numerical or quantitative.

A

variable

54
Q

subdivided into four categories, and up on drawing inferences on a random sample

A

scales of measurement

55
Q

it is the sum of all values or the average or norm

A

Mean

56
Q

The middle value

A

median

57
Q

The most frequent value

A

Mode