Suppose a, b, c, d, e, f are data set of nonnegative integers such that the midrange is 5 and the mean is 6. Find all the possible median of the given data set that satisfies the following: i) the mode is a bimodal, ii) the lowest value is unique, and iii) the highest value is unique.

Suppose a, b, c, d, e, f are data set of nonnegative integers such that the midrange is 5 and the mean is 6. Find all the possible median of the given data set that satisfies the following: i) the mode is a bimodal, ii) the lowest value is unique, and iii) the highest value is unique.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 34PPS

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Question

Suppose a, b, c, d, e, f are data set of nonnegative integers such that the midrange is
5 and the mean is 6. Find all the possible median of the given data set that satisfies
the following:
i) the mode is a bimodal,
ii) the lowest value is unique, and
iii) the highest value is unique.

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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