Mathematics in the Modern World

Question 1

It is the process of reaching a general conclusion by examining specific examples.

Answer 1

Inductive Reasoning

Question 2

A statement is true if it is true in all cases. If you find at least one case that a statement is not true, the statement is said to be a false statement. Such case that
makes the statement false is called a

Answer 2

COUNTER EXAMPLE

Question 3

It is the process of reasoning of reaching a conclusion by applying general procedures, assumptions and principles.

Answer 3

Deductive Reasoning

Question 4

An ordered list of numbers such as

5, 14, 27, 44, 65, …….
is called a

Answer 4

Sequence

Question 5

The numbers in a sequence that are separated by commas are the ____ of the sequence.

Answer 5

terms

Question 6

which shows the differences between successive terms of the sequence.

Answer 6

difference table,

Question 7

formula to generate terms of a sequence.

Answer 7

nth Term Formula for a Sequence

Question 8

it is one in which each successive term of a sequence is defined by using some of the preceding terms.

Answer 8

Recursive Definition for a Sequence

Question 9

Involves collection organization, summarization, presentation and interpretation of data.

Answer 9

Statistics

Question 10

– branch that involves collection, organization, summarization, and presentation of data.

Answer 10

Descriptive Statistics

Question 11

branch that interprets and draw conclusion from the data.

Answer 11

Inferential Statistics

Question 12

also known as average

Answer 12

Measure of central tendency

Question 13

3 Measures of central tendency

Answer 13

1. Arithmetic Mean or Mean
2. Median
3. Mode

Question 14

n numbers is the sum of the numbers divided by n.

Answer 14

Arithmetic Mean or Mean

Question 15

list of numbers that is arranged from smallest to largest or largest to smallest.

Answer 15

Ranked list

Question 16

• the middle number if n is odd

- the mean of the two middle numbers if n is even

Answer 16

Median

Question 17

the numbers that occurs most frequently.

Answer 17

Mode

Question 18

used when some data values are more important than others.

Answer 18

The Weighted Mean

Question 19

data that have not been organized or manipulated in any manner.

Answer 19

Row Data

Question 20

table that lists observed events and the frequency of occurrence of each observed event.
- it is often used to organized raw data

Answer 20

Frequency Distribution

Question 21

• also known as measure of variation

- numerical value that measures variation or dispersion or spread of the data values.

Answer 21

Measure of Dispersion

Question 22

the ______of a set of data values is the difference between the greatest data value and the least data value

Answer 22

Range

Question 23

numerical value that describes the variation in a data set.

Answer 23

Standard Deviation

Question 24

– a measure of dispersion of a data set.

Answer 24

Variance

Question 25

numerical value that describes the position of a data value in a data set.

Answer 25

Measure of Relative Position

Question 26

The ________ of a data value X is the number of standard deviations between the data value X and the mean of a data.

Answer 26

Z-scores

Question 27

A value x is called the pth percentile of a data set provided p% of the data values are less than x.

Answer 27

Percentiles

Question 28

the three numbers Q1, Q2, and Q3 that partition a ranked data set into four (approximately) equal groups are called the

Answer 28

quartiles of the data.

Question 29

-Frequency distribution that displays a data set by dividing the data into classes and listing the number of data values that fall into each class.

Answer 29

Grouped Frequency Distribution

Question 30

frequency distribution that lists the percent of data.

Answer 30

Relative Frequency Distribution