Answered: Data of Games:…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Data of Games: 48,30,35,16,26,11,33,24,22,38,30,13,30,24,16,10,30,32,35,23,17,19,24,29,26,17,12,18,38,27,18,31,33,32,41,22,35,

49,28,31,28,36,27,30,22,23,30,30,25,24,26,26,17,35,38,11,32,35,28,29,43,33,11,28,27,21,22,12

Total number of basketball games is 68 and total number of points that a player scored is 1,822.

1. Is the average used, the median or mean? How can you tell?

2. Calculate the five-number box plot and draw the box plot

3. What is the spread of the data

4. Make a probability statement based on the data using the z-score table

5. Write an analysis based on what you have learned

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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