Answered: The durations (minutes) of 26 electric…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 42PFA

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Question

The durations (minutes) of 26 electric power outages in the community of Sonando Heights over the past five years are shown below.

36	49	23	68	26	12	54	13	50	4	14	42	42
101	31	18	13	51	22	3	17	26	91	25	13	20

(a) Find the mean, median, and mode. (Round your answers to 2 decimal places.)

mean?
median?

mode?

(b) Are the mean and median about the same?

is the mean greater than or less than the median?

(c) Is the mode a good measure of center for this data set?

multiple choice 1

(d) Is the distribution skewed?

multiple choice 2

Yes, the distribution is skewed right.
Yes, the distribution is skewed left.
No, the distribution is symmetric.

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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