Bivariate Data. Frequency Table Line Plot Box and Whisker Plot

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1 U04 D02 Univariate Data Frequency Table Line Plot Box and Whisker Plot Univariate Data Bivariate Data involving a single variable does not deal with causes or relationships the major purpose of univariate analysis is to describe central tendency mean, mode, median dispersion range, variance, max, min, quartiles, standard deviation. frequency distributions bar graph, histogram, pie chart, line graph, box and whisker plot Sample question: How many of the students in the freshman class are female? Created by Donna Roberts involving two variables deals with causes or relationships the major purpose of bivariate analysis is to explain analysis of two variables simultaneously correlations Copyright comparisons, relationships, causes, explanations Oswego City School District Regents Exam Prep Cente tables where one variable is contingent on the values of the other variable. independent and dependent variables Sample question: Is there a relationship between the number of females in Computer Programming and their scores in Mathematics?

2 Univariate Data 1. Student ratings of a movie First organize your data Tally Data Value Tally "Organized count or tally of the data."

3 Line Plot Tally Data Value Graphic of the frequency Table First...organize your data. 3 5 Minimum: Maximum: Range: Mean (average): Median (middle): Mode (most): Answer?

4 You try: Minimum: 5 5First...organize your data Answer? Maximum: Range: Mean (average): Median (middle): Mode (most): Bi Modal Surprise Our original organized data. 3 Answer? Quartiles: The medians between the median and min/max 1st Quartile (Q1) = 2nd Quartile (Q2) = median = 3rd Quartile (Q3) =

We have to still check for outliers... Q 3 Q 1 is the interquartile range (IQR) Upper outliers > Q 3 + 1.5(Q 3 Q 1 ) Lower outliers < Q 1 1.

5 We have to still check for outliers... Q 3 Q 1 is the interquartile range (IQR) Upper outliers > Q (Q 3 Q 1 ) Lower outliers < Q 1 1.5(Q 3 Q 1 ) Much of this data can be quickly obtained from your calculator too data: ) enter into L 1 2) STAT CALC 1: 1 Var Stats 3) what does everything mean? mean sum of data sum of data 2 sample standard deviation population standard deviation n = 13 minx = 1 Q 1 = 0.5 Med = Q 3 = 11 maxx = 164 Now make your box and whisker plot. Statplot > Plot 1 Zoom > :Stat Trace to see what the min, Q1, median, Q3, max are

Make a box and whisker plot with the calculator data: 122 164 1 4 14 114 111 5 104 1 Now make your box

6 Make a box and whisker plot with the calculator data: Now make your box and whisker plot. Zoom :Stat Trace to see what the min, Q1, median, Q3, max are

7 Homework: Finish your Vocab Research Complete the tasks for Who is the Better basketball Player? Is Derek or Paul the better basketball player? Use Line Plots and Box and Whisker Plots to analyze their points per game.

8 Derek's Points Per Game,15,10,10,10,15,,,10,,12,11,, 11,13,,,,,,10,11,14,11,10,10,,,12,14,14,12,13,5,13,,11,12,13, Create a line plot of Derek's points for the 40 games. what can you tell me about this graph?

9 Create a box plot of Derek's points for the 40 games 1) List numbers in order from least to greatest 5,,,,,,,,,,,,,,, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 15, 15 2) Find median and split numbers into 2 groups 5,,,,,,,,,,,,,,, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 15, 15 median = = Q 2 3) Find median of 1st half Q 1 = 4) Find median of 2nd half Q 3 = 5) Make your box plot what can this graph tell me? Q 1 Q 2 Q Identify any outliers with x's outside of the end points Paul's Points Per Game 1,3,0,2,4,5,,,,10,4,4,3,2,5,6,6,,,6,10,11,11,10,12,12,5,6,,, 10,15,10,12,11,11,6,,,,

10 Create a line plot of Paul's points for the 40 games. Create a box plot of Paul's points for the 40 games 1) List numbers in order from least to greatest; draw a line plot for the data set. 2) Find median Q 2 = 3) Find median of 1st half Q 1 = Find median of 2nd half Q 3 = 4) Are there any outliers? What are they? 5) Make your box and whisker plot

11 Who is the better basketball player?

Unit 6 Day 2 Notes Central Tendency from a Histogram; Box Plots

AFM Unit 6 Day 2 Notes Central Tendency from a Histogram; Box Plots Name Date To find the mean, median and mode from a histogram, you first need to know how many data points were used. Use the frequency