A) Accidents at a potato chip plant are categorized according to the area injured: Area Numbers Fingers 17 Eyes 5 Arm 2 Leg 1 Total=25 Draw and interpret the bar graph or pie chart. Find the proportion of the injuries occur in damaging: i. Fingers ii. Eyes B) A sample of the daily rainfall (in millimeters) was recorded as under: 3, 1, 0,0, 0, 0, 0, 2, 0, 0, 3, 0, 0, 0, 7, 1, 1, 0, 3, 8, 0, 0, 0, 32, 38,3, 0, 3, 1, 0, 0 Find the mean, median and mode rainfall of the sample data. Why the median and mode rainfalls are not the suitable averages of the daily rainfall? Explain. C) The final grades awarded by two professors in the courses of Probability & Statistics, have been carefully examined. The students in the first professor's class had a grade-point average of 3 with a standard deviation of 0.2. Those in the second professor's class had a grade-point average of 3 with a standard deviation of 1. If you had a choice, which professor would you prefer for this course? Explain.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Q#1: A) Accidents at a potato chip plant are categorized according to the area injured: Area Numbers Fingers 17 Eyes 5 Arm 2 Leg 1 Total=25 Draw and interpret the bar graph or pie chart. Find the proportion of the injuries occur in damaging: i. Fingers ii. Eyes B) A sample of the daily rainfall (in millimeters) was recorded as under: 3, 1, 0,0, 0, 0, 0, 2, 0, 0, 3, 0, 0, 0, 7, 1, 1, 0, 3, 8, 0, 0, 0, 32, 38,3, 0, 3, 1, 0, 0 Find the mean, median and mode rainfall of the sample data. Why the median and mode rainfalls are not the suitable averages of the daily rainfall? Explain. C) The final grades awarded by two professors in the courses of Probability & Statistics, have been carefully examined. The students in the first professor's class had a grade-point average of 3 with a standard deviation of 0.2. Those in the second professor's class had a grade-point average of 3 with a standard deviation of 1. If you had a choice, which professor would you prefer for this course? Explain.

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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