The durations (minutes) of 26 electric power outages in the community of Sonando Heights over the past five years are shown below.35482565259.5711511546411013217135023182689281319Click here for the Excel Data File(a) Find the mean, median, and mode. (Round your answers to 2 decimal places.)Descriptive StatisticsMeanDataMedianMode(b) Are the mean and median about the same?(Click to select)the mean is ( (Click to select) ) the median.(c) Is the mode a good measure of center for this data set?O YesONo(d) Is the distribution skewed?12 of 19Next >< PrevonMacBook

Answered: The durations (minutes) of 26 electric…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The durations (minutes) of 26 electric power outages in the community of Sonando Heights over the past five years are shown below.
35
48
25
65
25
9.
57
11
51
15
46
41
101
32
17
13
50
23
18
26
89
28
13
19
Click here for the Excel Data File
(a) Find the mean, median, and mode. (Round your answers to 2 decimal places.)
Descriptive Statistics
Mean
Data
Median
Mode
(b) Are the mean and median about the same?
(Click to select)
the mean is ( (Click to select) ) the median.
(c) Is the mode a good measure of center for this data set?
O Yes
ONo
(d) Is the distribution skewed?
12 of 19
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< Prev
on
MacBook

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a)
$\begin{array}{rcl} M e a n & = & \frac{S u m o f a l l o b s e r v a t i o n s}{N u m b e r o f o b s e r v a t i o n s} \\ = & \frac{867}{26} \\ = & 33.35 \end{array}$

Arrange the observations in an ascending order.

$\begin{array}{rcl} M e d i a n & = & \frac{{(\frac{N}{2})}^{t h} o b s e r v a t i o n + {(\frac{N}{2} + 1)}^{t h} o b s e r v a t i o n}{2} \\ = & \frac{{(\frac{26}{2})}^{t h} o b s e r v a t i o n + {(\frac{26}{2} + 1)}^{t h} o b s e r v a t i o n}{2} \\ = & \frac{13^{t h} o b s e r v a t i o n + 14^{t h} o b s e r v a t i o n}{2} \\ = & \frac{25 + 26}{2} \\ = & 25.5 \end{array}$

$\begin{array}{rcl} M o d e & = & T h e m o s t f r e q u e n t o b s e r v a t i o n \\ = & 5, 13, 25 B e c a u s e t h e y a l l o c c u r t w i c e \end{array}$

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