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

STAT 110: Notes for Week of 9/20/16

by: runnergal

STAT 110: Notes for Week of 9/20/16 STAT 110

Marketplace > University of South Carolina > Statistics > STAT 110 > STAT 110 Notes for Week of 9 20 16

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

These notes cover what was discussed in class during the week of 9/20/16.
Introduction to Statistical Reasoning
Dr. Wilma J. Sims
Class Notes
Math, Statistics, intro to statistics
25 ?




Popular in Introduction to Statistical Reasoning

Popular in Statistics

This 4 page Class Notes was uploaded by runnergal on Sunday September 25, 2016. The Class Notes belongs to STAT 110 at University of South Carolina taught by Dr. Wilma J. Sims in Fall 2016. Since its upload, it has received 6 views. For similar materials see Introduction to Statistical Reasoning in Statistics at University of South Carolina.


Reviews for STAT 110: Notes for Week of 9/20/16


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: 09/25/16
STAT 110 – Notes for Week of 9/20/16  Chapter 11 Continued o Stemplot: essentially a histogram turned on its side. It shows the exact values of a distribution. It is used for smaller distributions, since all of the values need to be listed. Also known as a stem-and-leaf plot. o Each observation is separated into a stem (all of the digits of a value except the last digit) and a leaf (the last digit of a value). o There is a line between each stem and the leaf; write each leaf to the right of each stem.  For example, if you had the values 40, 42, 43, and 45, the stemplot would say: 4 | 0 2 3 5 . o You also use a stemplot to determine whether a distribution is skewed or symmetrical.  Chapter 12 o Median (M): the middle point of a distribution when the values are in increasing order.  To find the position of the median, use the formula (n+1)/2, where n = number of observations.  For example, the median of the distribution 40, 42, and 44 is (3+1)/2 = 4/2 = 2. The number in the second position is 42, so the median is 42.  If (n+1)/2 = x.5, then take the average of the numbers surrounding that position.  For example, if the distribution is 50, 51, 52, and 53, then the median is (4+1)/2 = 5/2 = 2.5. The numbers in the second and third positions are 51 and 52, so the average of those two numbers is 51.5. o Quartiles (Q , Q1): 3ivides the distribution into equal quarters when the values are in increasing order.  Q 1 median (M) of smaller half of values.  Q 3 median (M) of larger half of values.  To find the position of the quartiles, use the same formula (n+1)/2, except n = number of observations on one side of the median.  If M is a number in a position (not an average of two numbers), then do not use the median when finding the position of the quartiles  If M is an average of two numbers, use the numbers that you used to take the average when finding the position of the quartiles. o Five-Number Summary: a list of numbers. This list is comprised of the smallest value, Q 1 M, Q ,3and the largest value. There are no commas between these observations.  For example, the five-number summary of the distribution 1, 2, 3, 4, 5, 6, 7, 8, and 9 would be 1 3 5 7 9. o Boxplot: a graph of the five-number summary. The ends of the line are the highest and lowest numbers, the middle of the two boxes is the median, and the ends of the two boxes are Q and Q . 1 3  For example: 25 35 45 55 65 75 85 95 105 115 125  25 is the smallest number, 45 is 1 , 65 is M, 85 is3Q , and 125 is the largest number.  If M is pulled towards the left, then there is a right-skewed distribution.  If M is pulled towards the right, then there is a left-skewed distribution. o Mean: the average of a distribution. To find the mean, use the formula (sum of observations)/n, where n is the number of observations. o Standard Deviation (s): the average distance of a value from the mean.  s (standard deviation) = 0 when there is no spread. Only occurs if all of the values are the same, ex. 42 42 42 42.  s can never be negative.  Range Rule of Thumb: s is usually near range/4.  For example, if the distribution is 5 7 9 15 26 35, then s is about (35- 5)/4 = 30/4 = 7.25. o The mean is influenced by outliers; the median is not. o Use the mean and standard deviation to describe relatively symmetrical distributions; otherwise, use a five-number summary.  Chapter 13 o Density Curve: shows the proportion of values in any region under the curve, since the area under the curve equals 1. Is drawn between the bars of a histogram to outline the general shape of the graph. o Median of a density curve: the point on a curve where half of all observations are on each side. o Mean of a density curve: the point on a curve where the graph would balance if it was made out of solid material.


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

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!"

Amaris Trozzo George Washington University

"I made $350 in just two days after posting my first study guide."

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."

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.