### Create a StudySoup account

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

Already have a StudySoup account? Login here

# Study Guide Exam 1 MATH 231

Towson

GPA 3.5

### View Full Document

## 82

## 0

## Popular in Basic Statistics

## Popular in Mathematics (M)

This 7 page Study Guide was uploaded by Karlie Capozzoli on Friday September 25, 2015. The Study Guide belongs to MATH 231 at Towson University taught by Dr. Wang in Summer 2015. Since its upload, it has received 82 views. For similar materials see Basic Statistics in Mathematics (M) at Towson University.

## Popular in Mathematics (M)

## Reviews for Study Guide Exam 1

### 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: 09/25/15

Basic Statistics Exam 1 Chapters 16 Study Guide Types of Statistics 0 Descriptive data is described by a small portion lnferential using a sample out of a larger population to make conclusions What is population Sample 0 W an entire group of something literally anything you could t into a categorization Sample speci c items selected from the larger population Types of Data Qualitative data that is nonnumerical it is usually categorical such as brands or colors 0 Quantitative numerical data 0 Discrete number MUST not have a gap in data typically a whole number for example you cannot have 137 kids only 1 or 2 0 Continuous number can be any value within a range Levels of Measurement 0 Nominal data is recorded by only nameslabels they can only be classi ed or counted Ordinal data is categorized and rankedrated they can only be ranked or counted lnterval the distance between variables is meaningful based on a scale with a known unit of measurement USUALLY ONLY TEMPERATURE OR DRESS SIZE 0 Ratio based on a scale with a known unit of measurement with a meaningful interpretation of zero Meaningful zero NOTHING Frequency Table grouping of qualitative data in intervals Relative Frequency percentage of a whole in a frequency table ie 1100 is 1 Frequency Distribution Steps 1 View selected data 2 Determine the number of classes 2quotk gt the of data points k the number of classes 3 Determine Class Interval Maximum data point minus minimum data point K number of classes 4 Make sure you start from the minimum or a convenient number that is less than or equal to the minimum 5 Make your chart Include intervals with correct number of classes and class width Class Midpoint 1 Pick a class 2Add minimum plus maximum and divide by 2 Measures of Central Tendency 0 Population mean average of the population 0 Sample mean average of the sample 0 Median the midpoint of the data 0 Mode the most frequent data point in a set can be more than one 0 Range the range of the data maximum minus minimum Negative and Positive Skewed it Neative Skew Positive Skew httpsuploadwikimedia orgwikipediacommonsthumbff8NegativeandpositiveskewdiagramsEnglis hsvg446pxNegativeandpositiveskewdiagramsEnglishsvgpng Population Variance arithmetic mean of squared deviations from the mean Ex 5 6 6 8 12 12 13 The mean of this data set is 88 Subtract 88 minus each data point Square the answer to that and add each together Then it is the squared deviation divided by the total number of data points Sample Variance same steps as above EXCEPT divide by the number of data points minus one Standard Deviation the SQUARE ROOT of the VARIANCE either population or sample Empirical Rule only applies to symmetric distribution From the mean of the data the standard deviation is added plus or minus 1 time 68 of the data plus or minus two times 95 of the data or plus or minus 3 times 997 of the data httpjwilsonco eugaeduEMAT 668OSuO9Floer 6690Stat 20Essaynorm alcurvegif 1 5 3 x 1 35 l Bil 1 j quotl 1 E 1 A Jar n 1 39 y 3 u Err LL pl 5 fr tr JLl quotl Err p 34 3 mean l l 1 s4u 9514 l 99 Chebyshev s Theorem FOR ANY DISTRIBUTION At least 11kquot2 k the number of standard deviations Graphs to Know 0 Bar Chart data represented by bars 0 Pie Chart used for a percentage 0 Histogram similar to bar chart but used with intervals frequency 0 Frequency Polygon similar to histogram but used with only a line and points instead of bars 0 Cumulative Polygon uses percentages to determine which pro t is less than a certain percentage 0 Dot plot each dot represents a data point 0 Stem and Leaf plot two digit numbers cut in half with stems andleaves o Boxplot uses 5 values min max rst quartile third quartile and median 0 Scatterplot xy points plotted to nd correlation positive nega veornone lnterquartile Range 50 of the data the range between the rst and third quartile Outlier Formula ltQ1 15 0301 gt QB 15 0301 Location of Percentile Quartile 4 equal parts Decile 10 equal parts Percentile 100 equal parts Formula Lp n1p1OO P location of the percentile N number of data points Use the answer to that formula to locate the position in the data For example if the answer is 12 then the 12th data point would be the location of the percentile Probability a value between 0 and 1 describing a relative possibility Experiment process that leads to the occurrence of one possible result 0 Outcome the result of the experiment 0 Event A collection of one or more outcomes from an experiment Classical Probability 1St grade probability outcomes divided by total Mutually exclusive only one event can occur at one time heads or tails Collectively exhaustive at least one event must occur when an experiment is conducted Empirical Probability the probability of an event is the fraction of the time similar to events happened in the past 0 Number of times the event occurstotal number of observations Permutation used for number of arrangements Combination used for groupsteams Probability Distribution a listing of all possible outcomes of an experiment amp the probability associated with each outcome 0 Always adds up to 1 0 Outcomes are mutually exclusive 0 Mean value times probability added together Variance nd the variance by using x minus mean squared TIMES probability 0 Standard deviation square root of the variance Binomial Probability Distribution 0 Only has 2 outcomes 0 Must be mutually exclusive 0 Number of trials must be xed 0 Trials are independent 0 Probability of success does not change in each trial Link to Quizlet Notecards httpsduizletcom1jmth Password Math231Wang Cheat Sheet Nominal data is recorded by only nameslabels they can only be classi ed or counted Ordinal data is categorized and rankedrated they can only be ranked or counted lnterval the distance between variables is meaningful based on a scale with a known unit of measurement USUALLY ONLY TEMPERATURE OR DRESS SIZE Ratio based on a scale with a known unit of measurement with a meaningful interpretation of ii 7 7 7 7 7 Li ill zero Meaningful zero NOTHING ill l quot EH17 PlAlWlBlAll P lAllPlBllll f P lAalPlBlAa Frequency distribution 1 2quotk gt the of data points k the number of WEW EO HEM HAM 597 classes 2 Maximum data point minus minimum data Bar Chart data represented by bars M Pie Chart used for a percentage K number 0f Classes Histogram similar to bar chart but used with intervals frequency var39ance X m39ngsthe mean Square j Frequency Polygon similar to histogram If 39t 39S a sample39 d39V39de by n m39nus 1 but used with only a line and points Of data instead of bars Cumulative Polvqon uses percentages to Emp39r39cal RUIe Symmetr39cal determine which profit is less than a certain percentage Dot plot each dot represents a data point Stern and Leaf plot two digit numbers cut in half with stems and leaves Boxplot uses 5 values min max rst quartile third quartile and median Scatterplot Xy points plotted to nd correlation positive negative or none Contingency table is a crosstabulation I fquotMIII39IquotIf39ffl If l l r llmm v l nr 39lIAIA Chebyshev s Theorem FOR ANY DISTRIBUTION At least 11kquot2 k the number of standard deviations Percentile Formula Lp n1p1OO Outlier Formula ltQl 15 0301 gt Q3 15 Q3Ql Probabilitv Formulas Addition P A or B PAPBPA or B Multiplication PA and B PAPB INDEPENDENT Conditional PA and B PAPBA Probability Distribution Formulas Mean number of data times population Variance n times probability times 1 probability Standard Deviation square root of variance SUBJECTIIIE CONCEPT OF lPFlEIEABILIlIY The likelihood prolhability of a particular event happening that is assigned by an individual based O l39l whatever information is available Complement rule PA1Pnot A Ioint Probability probability that measures the likelihood two or more events will happen concurrently Probability a value between 0 and 1 describing a relative possibility Experiment process that leads to the occurrence of one possible result Outcome the result of the experiment Event A collection of one or more outcomes from an experiment Classical Probability 1st grade probability outcomes divided by total Mutually exclusive only one event can occur at one time heads or tails Collectively exhaustive at least one event must occur when an experiment is conducted Empirical Probability the probability of an event is the fraction of the time similar to events happened in the past 0 Number of times the event occurstotal number of observations Permutation used for number of arrangements 39L I L

### 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

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

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

#### "Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."

#### "Their 'Elite Notetakers' are making over $1,200/month in sales by creating high quality content that helps their classmates in a time of need."

### Refund Policy

#### STUDYSOUP CANCELLATION 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 support@studysoup.com

#### STUDYSOUP REFUND POLICY

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: support@studysoup.com

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 support@studysoup.com

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.