Answered: a) Let further increase the number of…

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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Question

a) Let further increase the number of students (refer to Table C). From the first graph to the third graph, observe transformation of the figures. b) If we continue to increase the number of students, what will be the shape of the graph? Take note of the skewness. c) For each distribution, compute the three measures of averages, mean, median and mode. What to notice? What does this imply? d) Where to find these measures on the graph? e) What generalization can make? answer a-e

TABLE A
TABLE B
TABLE C
X(scores) f
X(scores)
f
X(scores) f
1
1
9.
1
2
3
4
3
8
2
1
1
7
4
N
5
3
7
1
1
11
N
13
7
4
2
2
1
1
N
39
3.

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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