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1 1-Summation

Statistics is the study of collecting, analyzing, interpreting, and presenting data to make informed decisions. It includes two types: descriptive statistics, which summarize data, and inferential statistics, which make predictions about a larger population. Summation notation, represented by the Greek letter sigma (Σ), is a mathematical tool used to express sums of sequences and is essential in various fields, including statistics.

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9 views15 pages

1 1-Summation

Statistics is the study of collecting, analyzing, interpreting, and presenting data to make informed decisions. It includes two types: descriptive statistics, which summarize data, and inferential statistics, which make predictions about a larger population. Summation notation, represented by the Greek letter sigma (Σ), is a mathematical tool used to express sums of sequences and is essential in various fields, including statistics.

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cthm54321
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1.

1 SUMMATION
KATHY BAROT
WHAT IS STATISTICS?
Statistics refers to the field of study that involves collecting,
analyzing, interpreting, and presenting data to extract meaningful
insights and make informed decisions based on evidence, allowing
individuals to identify patterns, trends, and relationships within data
to guide their decision-making process.
TWO TYPES OF STATISTICS
Descriptive statistics Inferential statistics
- are numbers that are used to - involves making inferences,
summarize and describe data. The predictions, or generalizations about
word “data” refers to the information a larger population based on data
that has been collected from an collected from a sample of that
experiment, a survey, an historical population.
record, etc.
1.1 SUMMATION
Summation is a mathematical symbology used to represent
successive sums of terms in a sequence. It is commonly used to
represent formulas and expressions involving successive sums of
elements, such as the arithmetic mean and formulas used in the
area of statistics.
It is represented by the Greek capital letter sigma (Σ) and is used to
express the sum of a sequence of numbers.
Learning Objectives
1. Use summation notation to express the sum of all numbers

2. Use summation notation to express the sum of a subset of


numbers

3. Use summation notation to express the sum of squares


SUMMATION NOTATION
Weights of 4 Grapes
Grape X

1 4.6

2 5.1

3 4.9

4 4.4
SUMMING UP THE VALUE
Grape X

1 4.6

2 5.1

3 4.9

4 4.4
SUMMING THE FIRST 3 VALUE
Grape X

1 4.6

2 5.1

3 4.9

4 4.4
= 4.6+5.1+4.9
ABBREVIATED NOTATION
SUM OF SQUARES
IT MAKES A DIFFERENCE

=
= 90.54
SUM OF CROSS PRODUCTS
X Y XY
1 3 3
2 2 4
3 7 21
In conclusion, summation notation provides a powerful and efficient
way to express and calculate sums of numbers. It simplifies
complex expressions by using a compact symbol (Σ) and indices to
indicate the range of values being summed. This notation finds wide
applications in various fields, including statistics, calculus, and
computer science. Understanding summation notation is crucial for
working with mathematical formulas and statistical analyses, as it
allows for concise representation and efficient computation of
sums.
THANK YOU

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