Math CC 78 Mar 21 Things Needed Today

Math CC 7/8 – Mar. 21 Things Needed Today (TNT): q. Pencil/Math Notebook/Calculator/ q. Sample & Population 1. 4 Math Notebook: 1. Topic: Using IQR to compare samples/5 # summary & Box Plot 2. HW: Worksheet

What’s Happening Today? q. Lesson 1. 4 –IQR /5 # Summary & Box Plot q. Begin HW?

Warm Up 1) simplify: 3 + [10 • (11 - 5 2 ) ] + 4 2) Sasha needs an average of 30 points to move to the next level in her competition. Her scores in the first three events are 28, 35, and 30. What is the lowest score she can receive in her last event to move to the next level of competition?

Warm Up 1) simplify: 3 + [10 • (11 - 5 )2 ] + 4 2 6] 3 + [10 • +4 3 + [10 • 36] + 4 3 + 360 + 4 367 2) Sasha needs an average of 30 points to move to the next level in her competition. Her scores in the first three events are 28, 35, and 30. What is the lowest score she can receive in her last event to move to the next level of competition? 28 + 35 + 30 + x = 30 4 28 + 35 + 30 + x = 120 93 + x = 120 -93 x = 27

Sometimes Mean, Median and Mode can't really demonstrate the variations in a data set In these cases, we use a Five Number Summary and a box & whisker plot to illustrate the pattern of data values

BOX & WHISKER PLOT A box-and-whisker plot is a diagram that shows the distribution of a set of data along a number line. The data is divided into 4 parts called quartiles. Each

VOCABULARY 1) Median : the middle # of the data 2) Lower Quartile(LQ): the middle of the lower half of data 3) Upper Quartile(UQ) : the middle of the upper half of data 4) Lower Extreme (minimum): lowest number 5) Upper Extreme(maximum) : highest number

Introduction q. A box-and-whisker plot can be useful for handling many data values. q. They allow people to explore data and to draw informal conclusions when two or more variables are present. q. It shows only certain statistics rather than all the data. q. Box and whisker plots consists of the median, the quartiles, and the smallest and greatest values in the distribution.

How to make a Box and Whisker Plot Step 1: Order Data Put your data in increasing numerical order. Example: 100, 27, 34, 59, 18, 52, 61, 78, 68, 82, 87, 85, 93, 91 In order from least to greatest…. 18, 27, 34, 52, 54, 59, 61, 68, 78, 82, 85, 87, 91, 93, 100

How to make a Box &Whisker Plot Step 2 – Find the Median *The median is the number in the middle of the data* 18, 27, 34, 52, 54, 59, 61, 68, 78, 82, 85, 87, 91, 93, 100

How to make a Box &Whisker Plot Step 3 – Lower Quartile Third, we only look at the data to the left of the median 18, 27, 34, 52, 54, 59, 61, 68, 78, 82, 85, 87, 91, 93, 100. We find the median of those numbers 18, 27, 34, 52, 54, 59, 61

How to make a Box &Whisker Plot Do not include the Step 3 – Lower Quartile median as a data point while finding the Lower Quartile Third, we only look at the data to the left of the median 18, 27, 34, 52, 54, 59, 61, 68, 78, 82, 85, 87, 91, 93, 100. We find the median of those numbers 18, 27, 34, 52, 54, 59, 61

How to make a Box &Whisker Plot Step 3 – Lower Quartile Median = (52 + 54) / 2= 53 If you have an even number of data points. Meaning that your first median (53 in this case) was the average of the two middle values, then you do include those numbers (52 and 54) while finding your Lower and Upper Quartile 18, 27, 34, 52, 54, 59, 61, 68 We find the median of those numbers 18, 27, 34, 52, Lower Quartile = (27 +34) / 2 = 30. 5

How to make a Box &Whisker Plot Step 4 – Upper Quartile Next, we only look at the data to the right of the median 18, 27, 34, 52, 54, 59, 61, 68, 78, 82, 85, 87, 91, 93, 100 We find the median of those numbers 78, 82, 85, 87, 91, 93, 100.

How to make a Box &Whisker Plot Step 5 – Highest/Lowest Values Circle your lowest and highest data points 18, 27, 34, 52, 54, 59, 61, 68, 78, 82, 85, 87, 91, 93, 100

How to make a Box &Whisker Plot Step 6 – Drawing Graph 18, 27, 34, 52, 54, 59, 61, 68, 78, 82, 85, 87, 91, 93, 100. Plot the lowest value, lower quartile, median, upper quartile, and the highest value on a number line.

How to make a Box &Whisker Plot Max # Min # Put a line through the Lower Quartile, Median, and Upper Quartile. Then Put a box around those lines Lastly draw a line from your extreme values to the box

How to make a Box &Whisker Plot 5 Number Summary Lower Extreme (minimum #)=18 Lower Quartile =52 Median= 68 Upper Quartile= 87 Upper Extreme (maximum #)= 100

How to make a Box &Whisker Plot Interquartile range~ the difference between the upper quartile and the lower quartile. The IQR describes the variability of the middle 50% of the data values. Lower Extreme=18 Lower Quartile =52 Median= 68 Upper Quartile= 87 Upper Extreme= 100 87– 52 = 35= IR

Making a Box-and-Whisker Plot Roller Coaster Heights (ft. ) 60 42 100 35 42 44 81 78 70 60 Put in order from least to 60 60 greatest. 70 76 42 44 40 35 35 78 81 100 60 50 44 Upper Extreme Upper half 60 70 76 78 81 100 Upper Quartile Lower Quartile 30 44 Median = (60 + 70) ÷ 2 = 65 Lower half Extreme 35 76 60 70 65 80 90 78 100 110