PPT - Measure of Central Tendency

# PPT - Measure of Central Tendency - Business Mathematics and Logical Reasoning & Statistics - CA Foundation

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Measures of Central Tendency
CPT  Section D Quantitative Aptitude Chapter 11
Dr. R. B. Tiwari
Page 2

Measures of Central Tendency
CPT  Section D Quantitative Aptitude Chapter 11
Dr. R. B. Tiwari
Introduction
Central Behavior of the data.
Off Central Behavior of the data.
Page 3

Measures of Central Tendency
CPT  Section D Quantitative Aptitude Chapter 11
Dr. R. B. Tiwari
Introduction
Central Behavior of the data.
Off Central Behavior of the data.
1. Measures of Central Tendency.
The tendency of a given set of observations   to cluster
around a single central or middle  value and the single value
that represents   the  given set of observations is described
as  a measure of central tendency or location or average.
e.g. a company is recognized by its high average profit and
an educational institution is judged on the basis of the
average marks obtained by the students.
Page 4

Measures of Central Tendency
CPT  Section D Quantitative Aptitude Chapter 11
Dr. R. B. Tiwari
Introduction
Central Behavior of the data.
Off Central Behavior of the data.
1. Measures of Central Tendency.
The tendency of a given set of observations   to cluster
around a single central or middle  value and the single value
that represents   the  given set of observations is described
as  a measure of central tendency or location or average.
e.g. a company is recognized by its high average profit and
an educational institution is judged on the basis of the
average marks obtained by the students.
Arithmetic Mean
Page 5

Measures of Central Tendency
CPT  Section D Quantitative Aptitude Chapter 11
Dr. R. B. Tiwari
Introduction
Central Behavior of the data.
Off Central Behavior of the data.
1. Measures of Central Tendency.
The tendency of a given set of observations   to cluster
around a single central or middle  value and the single value
that represents   the  given set of observations is described
as  a measure of central tendency or location or average.
e.g. a company is recognized by its high average profit and
an educational institution is judged on the basis of the
average marks obtained by the students.
Arithmetic Mean
Arithmetic Mean
Case (i)      Arithmetic Mean (AM)
12
...
(i)
n
X X X
X
n
X
or X
n
+ ++
=
=
?
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## Business Mathematics and Logical Reasoning & Statistics

128 videos|128 docs|87 tests

## FAQs on PPT - Measure of Central Tendency - Business Mathematics and Logical Reasoning & Statistics - CA Foundation

 1. What is a measure of central tendency?
Ans. A measure of central tendency is a statistical value that represents the center or average of a set of data. It provides a single value that summarizes the entire dataset. The most commonly used measures of central tendency are mean, median, and mode.
 2. How is the mean calculated?
Ans. The mean is calculated by adding up all the values in a dataset and then dividing the sum by the total number of values. It is also known as the arithmetic average and is sensitive to extreme values in the dataset.
 3. What does the median represent?
Ans. The median is the middle value in a dataset when the values are arranged in ascending or descending order. It is a measure of central tendency that is not affected by extreme values or outliers. If there is an even number of values, the median is the average of the two middle values.
 4. When should the mode be used as a measure of central tendency?
Ans. The mode should be used as a measure of central tendency when dealing with categorical data or data that can be categorized into distinct groups. It represents the value that occurs most frequently in the dataset and is useful for finding the most common category or response.
 5. Can multiple measures of central tendency be used together?
Ans. Yes, multiple measures of central tendency can be used together to provide a more comprehensive understanding of the data. For example, using both the mean and median can help identify the presence of outliers or skewness in the dataset. Additionally, using the mode along with the mean or median can provide insights into the most common values and their distribution.

## Business Mathematics and Logical Reasoning & Statistics

128 videos|128 docs|87 tests

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