Choosing Measures of Central Tendency
Measures of central tendency, including mean, median, and mode, play a crucial role in summarizing data. Learn how to select the most appropriate measure based on the characteristics of your data. Understand the implications of outliers and how they impact each measure. Explore scenarios where mean, median, or mode is the best choice to represent your dataset effectively.
Download Presentation
Please find below an Image/Link to download the presentation.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author.If you encounter any issues during the download, it is possible that the publisher has removed the file from their server.
You are allowed to download the files provided on this website for personal or commercial use, subject to the condition that they are used lawfully. All files are the property of their respective owners.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author.
E N D
Presentation Transcript
Analyzing Measures of Central Tendency When to choose Mean, Median, Mode and what they indicate
Measures of Central Tendency These are statistical terms that try to find the center of the numbers that are in a group of data. Mean average Median middle Mode most common or most popular Outlier a number in a set of data that is much bigger or smaller than the rest of the numbers
Analysis of Mean What you can determine from the mean if numbers are above or below the mean. this measure can be drastically affected by the addition or deletion of numbers to the data What you cannot determine if there were any outliers outliers will substantially distort the data either too high or too low. what individual scores were This is usually the best choice to describe data unless there is an outlier.
Analysis of Median What you can determine from the median if numbers are above or below the halfway point. this measure is the least affected measurement if new numbers are added to the data What you cannot determine if there were any outliers what individual scores were This is usually the best choice to describe data if there is an outlier.
Analysis of Mode What you can determine from the mode - Which number or numbers are there the most frequently What you can t determine from the mode - Where the number is in the group of data - What all the other numbers are This is usually the best choice to describe data if you want to select the most popular value or item.
Analysis of Range What you can determine from the range - How far apart the numbers are What you can t determine from the range - What the numbers are in the data set This is usually the best choice to describe data if you want to know the spread of the data.
Choosing the best Measure of Central Tendency (worksheet for homework) 1. A retail store had total sales of $436, $650, $530, $500, $650, $489, and $423 last week. Which measure of data would make the store s sales last week appear the most profitable? Explain.
2. The heights of 5 starting players on the basketball team are 75 in., 74 in., 73 in., 70 in., and 68 in. Decide whether the mean describes the data well. Explain.
3. The monthly car payments for Brandons last 8 customers were $266, $285, $285, $285, $285, $315, $325, $344. Decide whether the mode describes this data well. Explain.
4. At the end of the winter, the seven sweaters left in stock at Griselda s Outlet Store were brown, orange, green, orange, brown, orange, orange and orange. Decide which measure of central tendency is appropriate for this data. Explain.
5. The profits at 5 schools that sold Gems & Jewels products were $318.22, $440.79, $607.16, $1090.38, $4790.15. Decide whether the mean or median is the better measure of central tendency for this data. Explain.
