New User Special Price Expires in

Let's log you in.

Sign in with Facebook


Don't have a StudySoup account? Create one here!


Create a StudySoup account

Be part of our community, it's free to join!

Sign up with Facebook


Create your account
By creating an account you agree to StudySoup's terms and conditions and privacy policy

Already have a StudySoup account? Login here

Data analysis: measures of central tendency

by: WB

Data analysis: measures of central tendency MAT117

Marketplace > Pace University > Mathematics (M) > MAT117 > Data analysis measures of central tendency
GPA 3.83
Elementary statistics
Dr. Glenn Miller

Almost Ready


These notes were just uploaded, and will be ready to view shortly.

Purchase these notes here, or revisit this page.

Either way, we'll remind you when they're ready :)

Preview These Notes for FREE

Get a free preview of these Notes, just enter your email below.

Unlock Preview
Unlock Preview

Preview these materials now for free

Why put in your email? Get access to more of this material and other relevant free materials for your school

View Preview

About this Document

This note introduces the measures of central tendency: mean, median, and the mode. A general introduction of how to compute the mean, median, and the mode.
Elementary statistics
Dr. Glenn Miller
Class Notes
mean, median, mode
25 ?




Popular in Elementary statistics

Popular in Mathematics (M)

This 3 page Class Notes was uploaded by WB on Wednesday September 30, 2015. The Class Notes belongs to MAT117 at Pace University taught by Dr. Glenn Miller in Fall 2015. Since its upload, it has received 33 views. For similar materials see Elementary statistics in Mathematics (M) at Pace University.

Similar to MAT117 at Pace

Popular in Mathematics (M)


Reviews for Data analysis: measures of central tendency


Report this Material


What is Karma?


Karma is the currency of StudySoup.

You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 09/30/15
Data Analysis Measures of Central Tendency One number or observation that represents the middle of the data set 1 Mean add up all numbers and divide by the number of numbers Sample mean i x barquot 39 u n 2X Populatlon mean u mu 7 Ex weights of 10yearold girls 75 79 69 82 56 70 find the mean gt 2 757969282567 718333333 g 718 I Round Off Rule round your final answer to one more degree of accuracy than is present in the data Here the data was whole numbers so the answer should be rounded to the nearest tenth If the data had been given with values accurate to the tenths place then we would round our statistic to the hundredths place Why we still need other measures of central tendency median mode 2 Two problems with using the mean 1 According to the definition of the mean it cannot be used for qualitative data 2 For data sets that contain outliers an extremely high or low value relative to the rest of the data set ie a weirdo more than two standard deviations away from the mean 2 Mode the observation with the highest frequency So for qualitative data we can use the mode I There can be more than one mode if two observations have the highest frequency OR no mode if no observation is repeated Ex data set 1 3345612 gt mode 3 2 33451212 gt mode 312 3 13579 gt mode no mode 3 Median f the number in the middle of the ordered data list So if there s a weirdo existing the median is the preferable measure of center Ex Suppose you own a store and pay your employees the following hourly wages 6 6 7 7 54 The last one 54 is the hourly wage You pay Ioe because he is your cousin Obviously 54 is a weirdo The employees are so mad and say they want a raise But you calculate the mean of the wages 667754 5 per hour so be quiet and get back to work What s wrong here 16 and show them and say Look at the mean salary I pay Iquot 2 Because of the outlier Ioe s wages the mean is much higher than the 4 out of the 5 values and not a good measure of center here The median is especially useful when outliers are present Ex 566970757980 I Before calculating the median you MUST put the numbers in order from least to greatest n1 2 the position of the median T When n is even the median of the data set is the mean of two middle numbers Here n is even 62 35 so the middle two numbers are 3rd 70 4th 75 The median m 725 Why we can t use the median all the time I It is robust against wildly different numbers present in the set Ex 56 69 70 83 79 75 8000 Obviously the median cannot measure the center of the data Exercises Find mean median and mode for a frequency distribution The following table shows the results of a survey of a class of college students age Age x Frequency f xf 19 7 19x7133 20 1 20 21 4 84 22 2 44 Total 14 students 2 f 281 Z xf 2 Mode 19 Mean 2 2 201 14 Here the mean of a frequency distribution is given by fo fo x 2f n 14 1 Median n is even the position ofthe median 75 2 gt 7th number 19 and the 8th 20 number I Count down the list of values taking frequencies into account 7th 8th 19 20 195 2 2 f


Buy Material

Are you sure you want to buy this material for

25 Karma

Buy Material

BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.


You're already Subscribed!

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

Why people love StudySoup

Steve Martinelli UC Los Angeles

"There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

Anthony Lee UC Santa Barbara

"I bought an awesome study guide, which helped me get an A in my Math 34B class this quarter!"

Bentley McCaw University of Florida

"I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

Parker Thompson 500 Startups

"It's a great way for students to improve their educational experience and it seemed like a product that everybody wants, so all the people participating are winning."

Become an Elite Notetaker and start selling your notes online!

Refund Policy


All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email


StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here:

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.