Analyzing The Shape of Data Examples 1 Describe

Analyzing The Shape of Data

Example’s 1. Describe the shape of the graphed data. Do you notice any gaps in the data? x x x x x x x x 15, 20, 25, 30, 35, 40, 45, 50, 55, 60 , 65 , 70 , 75 , 80 , 85 , 90 , 95

1. Does the data set contain any outliers? x x x x x x x x 15, 20, 25, 30, 35, 40, 45, 50, 55, 60 , 65 , 70 , 75 , 80 , 85 , 90 , 95

4 1. What Value would be a good representation of variation of this data set? x x x x x x x x 15, 20, 25, 30, 35, 40, 45, 50, 55, 60 , 65 , 70 , 75 , 80 , 85 , 90 , 95

5 What value would be a good measure for the center of the data set? x x x x x x x x 15, 20, 25, 30, 35, 40, 45, 50, 55, 60 , 65 , 70 , 75 , 80 , 85 , 90 , 95

6 If the student who studied for 95 minutes is removed from the data set, how would it affect the center, shape, and spread of the data? x x x x x x x x 15, 20, 25, 30, 35, 40, 45, 50, 55, 60 , 65 , 70 , 75 , 80 , 85 , 90 , 95

7 Vocabulary 1. What is an outlier? A. a data value that is much greater or less than the other data values. 2. What does standard deviation measure? A. the spread of a data set.

8 � Graphs don't have to be perfectly symmetric to be described symmetric.

9 Whats a Box and Whisker plot? � A Box And Whisker plot is like this. 1. Mark the Ends 2. Mark the Median for 50 -90 3. Then You Find the Median for each side Now whats a box and whisker plot used for? Box and whisker plots are very effective and easy to read. They summarize data from multiple sources and display the results in a single graph. Box and whisker plots allow for comparison of data from different categories for easier, more effective decision-making. 50 90

10 Whats a Histogram? A diagram consisting of rectangles whose area is proportional to the frequency of a variable and whose width is equal to the class interval. Sales($) 87. 5 70 # Days 52. 5 35 17. 5 0 200 -219 220 -239 240 -259 290 -279

11 Why use a histogram? A frequency distribution shows how often each different value in a set of data occurs. A histogram is the most commonly used graph to show frequency distributions. It looks very much like a bar chart, but there are important. differences between them.

12 ANALYZING THE SHAPE OF DATA MADE BY: TEAM 1