Measures of Central Tendency. The Big Three – Mean, Median & Mode Mean Most common measure Arithmetic average Statistical symbols PopulationSample μ Nn.

Slides:

Advertisements

Similar presentations

Mean, Median, Mode & Range. Mean, Median, Mode are all types of average. An average summarises groups of data.

Advertisements

Central Tendency Mean – the average value of a data set. Add all the items in a data set then divide by the number of items in the data set.

Introduction to Summary Statistics

Measures of Central Tendency Psych 101 with Professor Michael Birnbaum.

Mode Mean Range Median WHAT DO THEY ALL MEAN?.

Mean Median Mode and Range

Chapter 4 Measures of Central Tendency

Numerical Measures of Central Tendency. Central Tendency Measures of central tendency are used to display the idea of centralness for a data set. Most.

Mode Mean Range Median WHAT DO THEY ALL MEAN?.

Summarizing Scores With Measures of Central Tendency

Materials Reminders. Get out your agenda if you see your name below. You need to come to my room tomorrow. Period 2Period 7.

C EXPONENTS, ORDER OF OPERATIONS, AND AVERAGE Math081 Catherine Conway.

 IWBAT summarize data, using measures of central tendency, such as the mean, median, mode, and midrange.

Statistics Assumed you have had this in previous math classes…

Introduction to Summary Statistics. Statistics The collection, evaluation, and interpretation of data Statistical analysis of measurements can help verify.

SECTION 1-7: ANALYZING AND DISPLAYING DATA Goal: Use statistical measures and data displays to represent data.

Describing Data Statisticians describe a set of data in two general ways. Statisticians describe a set of data in two general ways. –First, they compute.

Mean, Median, Mode & Range. Mean A number that represents the centre, or average, of a set of numbers; to find the mean, add the numbers in the set, then.

Psychology’s Statistics. Statistics Are a means to make data more meaningful Provide a method of organizing information so that it can be understood.

D ATA A NALYSIS Histogram Second Generation Third Generation First Generation.

According to researchers, the average American guy is 31 years old, 5 feet 10 inches, 172 pounds, works 6.1 hours daily, and sleeps 7.7 hours. These numbers.

DATA ANALYSIS n Measures of Central Tendency F MEAN F MODE F MEDIAN.

Thinking Mathematically

7.3 Find Measures of Central Tendency and Dispersion p. 259.

 IWBAT summarize data, using measures of central tendency, such as the mean, median, mode, and midrange.

MEASURES OF CENTRAL TENDENCY. THE MEAN - x x = sum of data number of data - Ex: 1,5,10,15,25 - x = x = x = 11.2.

2.3 Measures of Central Tendency. I. Mean, Median, and Mode O Measure of Central Tendency: a value that represents a typical, or central, entry of a data.

Mean: The AVERAGE values of a set of numbers. The mean is found by ADDING all of the values, then DIVIDING by the number of values in the set of data.

Central Tendency. Variables have distributions A variable is something that changes or has different values (e.g., anger). A distribution is a collection.

Chapter 3 Data Description Section 3-2 Measures of Central Tendency.

(7.12) Probability and statistics The student uses measures of central tendency and range to describe a set of data. The student is expected to: (A) describe.

Measures of Central Tendency Mean, Median, Mode, and Range.

Mean, Median, Mode, and Range Nate Basalyga. Mean The mean is the average of your group set of numbers When finding the mean, you add up each number in.

8-2 Measures of Central Tendency and Range. Measure of Central Tendency  A number used to describe the center of a set of data  Mean, Median, Mode.

Unit 2 Section 2.3. What we will be able to do throughout this part of the chapter…  Use statistical methods to summarize data  The most familiar method.

By Tatre Jantarakolica1 Fundamental Statistics and Economics for Evaluating Survey Data of Price Indices.

Central Tendency Mean – the average value of a data set. Add all the items in a data set then divide by the number of items in the data set.

Data Description Chapter 3. The Focus of Chapter 3  Chapter 2 showed you how to organize and present data.  Chapter 3 will show you how to summarize.

Measures of Central Tendency, Variance and Percentage.

Measures of Center Sigma- A symbol for sum. ∑ Summation Notation- The use of the sigma symbol to represent a summation. Also called sigma-notation or.

Data Descriptions.

CHAPTER 3: MEASURES OF CENTRAL TENDENCY Leon-Guerrero and Frankfort-Nachmias, Essentials of Statistics for a Diverse Society.

Measures of Central Tendency. What is a measure of central tendency? Measures of Central Tendency Mode Median Mean Shape of the Distribution Considerations.

Mean, Median, Mode, and Range

Starter Questions.

Mode Mean Range Median WHAT DO THEY ALL MEAN?.

Measures of Central Tendency

Information used to create graphs and find statistics

Introduction to Summary Statistics

Measures of Central Tendency & Range

6th Grade Math Lab MS Jorgensen 1A, 3A, 3B.

Central Tendency Central Tendency – measures of location for a distribution Mode – the commonly occurring number in a data set Median – the middle score.

Notes Over 7.7 Finding Measures of Central Tendency

Mean: average 2. Median: middle number 3. Mode: most often

Measures of Central Tendency

are two in the middle, find their average.

Measures of Central Tendency (Mean, Median, & Mode)

Creating Data Sets Central Tendencies Median Mode Range.

Measures of Central Tendency

13.1 Central Tendencies Objective: Students will be able to identify the mean, median, and mode given a data set. They will also be able to identify what.

14.2 Measures of Central Tendency

Grade 12 Essential Math Measurement and Statistics

ALGEBRA STATISTICS.

MEASURES OF CENTRAL TENDENCY

MEASURES OF CENTRAL TENDENCY

Median: middle score - half of the data will fall below the median When data is placed in order… - half of the data will fall below the median.

7.3 Find Measures of Central Tendency and Dispersion

Averages Handling Data.

Presentation transcript:

Measures of Central Tendency

The Big Three – Mean, Median & Mode Mean Most common measure Arithmetic average Statistical symbols PopulationSample μ Nn

Arithmetic Mean

Feb10 Mar9.5 Apr7.3 May4.8 Jun3

Median The middle value, when listed from smallest to largest. Half of data is above median, half below With even number of data values, median is half-way between the two central values Median = Median = 9.5

Mode ▫ Value that occurs with greatest frequency ▫ Unimodal  ▫ Bimodal  ▫ Multi-modal  ▫ No mode   Or 

Practice Exercise Consider the following data: 4, -8, 4, -12, 8, 4, -14 What is the value of the mean?

Practice Exercise Consider the following data: 4, -8, 4, -12, 8, 4, -14 What is the range?

Practice Exercise Consider the following data: 4, -8, 4, -12, 8, 4, -14 What (if any) is the value of the mode(s)?

Practice Exercise Consider the following data: 4, -8, 4, -12, 8, 4, -14 What is the value of the median?