Answered: The picture show below is the original…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.6: Permutations And Combinations

Problem 2SC: How many different signals can be sent, when three flags are used, if two of the 9 flags are...

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Question

The picture show below is the original problem and the other questions needs to be answered as well for the original problem. read carefully and answer correctly.

(a) Calculate the mean, median and mode of the above data set in the picture. Show your complete work.

Compute a 5% trimmed mean for the data, and compare it with the mean computed in part (a). Does the trimmed mean more accurately reflect the Class Sizes for Intro Courses?

What is the new mean, median and mode if 9 will be added to each class size?

What is the new mean, median and mode if each class size will be reduced into half?

A sample of 20 colleges showed
class sizes for intro courses to be:
14 20 20
20 20
23
25
30 30 30
35 35 35 40 40 42
50 50 80 80

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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