Drill {A, B, B, C, C, E, C, C, C, B, A, A, E, E, D, D, A, B, B, C} Construct a Bar Chart to represent the data of test grades for 20 students. Test Grades {A, B, B, C, C, E, C, C, C, B, A, A, E, E, D, D, A, B, B, C}

Test Grades (20 Students) 6543210 A B C D E

Honors Statistics Displaying Quantitative Data Day 2 Objective: students will be able to construct a box plot by hand and also to construct stem plot to represent a group of quantitative data.

Describing Shape The most common descriptions for shape in this course will be: Symmetric (Normal Distribution) 2) Skewed Left 3) Skewed Right

Outliers An outlier in any graph of data is an individual observation that falls outside the overall pattern of a graph. Center Center refers to the value that approximately divides the observations in half. (Half Larger/Half Smaller) Spread One way to describe the spread is by using the range: (largest # - smallest #) (Ignoring Outliers)

Stemplots (Stem and Leaf) The Stem or left side of the plot contains all the digits in each given value except for the rightmost digit. The Leaf or the right side of the plot contains the last digit in each number which is matched up with its corresponding “stem”. Example: 213 21 is the stem and 3 is the “leaf”

Example of Data {23, 26, 28, 28, 31, 34, 38, 39, 41, 47, 56, 60, 61} Stem Leaf 2 3 6 8 8 3 1 4 8 9 4 1 7 5 6 0 1

Back To Back Stemplots 9th Grade Scores {16, 21, 24, 26, 26, 31, 35, 36, 41, 44, 44, 44, 49} 10th Grade Scores {8, 18, 22, 26, 29, 29, 33, 36, 40, 42, 47, 47, 49, 50, 50}

Back-to-Back Stemplots 9th Grade Stem 10th Grade 8 6 1 6 6 4 1 2 2 6 9 9 6 5 1 3 3 6 9 4 4 4 1 4 0 2 7 7 9 5 0 0

5 Number Summary Smallest Value (lower extreme) Lower Quartile (Q1) Median Upper Quartile (Q3) Largest Value (upper extreme)

Median To find the median of a set of data with “n” values simply use the formula and that will tell you where the middle term is once the pieces of data are in numerical order. Quartiles * The quartiles are found by finding the median of the data set on the right side (Q3) of the median and the median of the data set on the left side (Q1) of the median.

Relative Cumulative Frequency Percentiles The pth percentile of a distribution is the value such hat “p” percent of the observations fall at or below it. Relative Frequency vs. Relative Cumulative Frequency Relative Frequency is when you calculate percents instead of counts for a graph. Relative Cumulative Frequency is when you continue to add the percents in each group until you reach 100%.

Homework Page 34 #’s 1.23 – 1.25 #’s 1.27, #’s 1.30 parts (a) & (b)