Answered: A student obtained the following scores…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section: Chapter Questions

Problem 16T

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Question

A student obtained the following scores in twelve 100-item assignments:
[Look at the image for the table].

Supposed that the mean is 91.83333333, and the median is 92, and the modes are 90, 86, and 97.

How can you describe the abovementioned data (central tendency) in an in-depth manner?

State your interpretation of the mean, median, and mode.
JUST THE INTERPRETATION OR DESCRIPTION OF IT.

1. A student obtained the following scores in twelve 100-item assignments:
93
91
90
86
86
94
97
90
98
85
95 97

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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