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Homework Quiz 9/30. Find the standard deviation of: 8, 4, 3, 2. Relative Standing and Boxplots. Section 3-4. Agenda. z -Scores Finding Percentile Finding Quartiles Box Plots Interquartile Range Modified Box Plots. Agenda. z -Scores Finding Percentile Finding Quartiles Box Plots
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Homework Quiz 9/30 • Find the standard deviation of: 8, 4, 3, 2
Relative Standing and Boxplots Section 3-4
Agenda • z-Scores • Finding Percentile • Finding Quartiles • Box Plots • Interquartile Range • Modified Box Plots
Agenda • z-Scores • Finding Percentile • Finding Quartiles • Box Plots • Interquartile Range • Modified Box Plots
Example • A man is 76.2 in tall and 237.1 lb heavy. Which of these measurements is more extreme? • Consider that the mean height is 68.34 in with a standard deviation of 3.02 in. Also the mean weight is 172.55 lb with a standard deviation of 26.33 lb. ROUND-OFF RULE: Round z-Scores to the nearest hundredth, as that is how they are typically plugged into statistical tables.
z Scores and Usual Values Whenever a data value is less than the mean, its corresponding z score is negative.
Agenda • z-Scores • Finding Percentiles • Finding Quartiles • Box Plots • Interquartile Range • Modified Box Plots
Percentile ROUND-OFF RULE: Round off to the nearest whole number.
Example • The scores on the most recent quiz are posted in the table below. Assume you are the person that scored a 93, and calculate your percentile.
Agenda • z-Scores • Finding Percentile • Finding Quartiles • Box Plots • Interquartile Range • Modified Box Plots
Quartiles ROUND-OFF RULE: Round L to the nearest whole number unless it is exactly at .5, then find the average of the #’s it is in between.
Example Find the 5-Number Summary for the following data set:
Homework • P.127-128: #7, 8, 15-18, 27(only complete 5 # summary)
Section 3.4 Day 2
Homework Quiz 10/2 • Write down all of your work for problem #8
Agenda • z-Scores • Finding Percentile • Finding Quartiles • Box Plots • Interquartile Range • Modified Box Plots
Agenda • z-Scores • Finding Percentile • Finding Quartiles • Box Plots • Interquartile Range • Modified Box Plots
Example • Create a box plot using the following data about the number of times Abenasolved a rubik’s cube in a single minute.
Critical Thinking • Compare the given data sets Each plot represents a different lottery years and the average earnings for the winning contestants. Lottery 1 is in 2010 Lottery 2 is in 2011 Lottery 3 is in 2012
Critical Thinking • Compare the given data sets
Agenda • z-Scores • Finding Percentile • Finding Quartiles • Box Plots • Interquartile Range • Modified Box Plots
Agenda • z-Scores • Finding Percentile • Finding Quartiles • Box Plots • Interquartile Range • Modified Box Plots
Example • Create a modified box plot using the following data about the number of times Ms. P served an ace against Mitch after school at the tennis courts.
Homework • P.126-128: #4, 11, 14, 27, 28