Here is a sample data set. 197.6 221.1 223.5 226.2 236.4 238.5 261.4 263.8 280.1 325.8 328.5 357.9 361.5 361.5 361.5 362.9 380.4 380.6 382.2 395.6 416.2 416.2 418.8 434.5 435 439.8 449.4 449.4 450.8 454.6 466.1 468.3 471.1 476.9 481.8 483.5 486.3 494.6 497 510.5 510.5 510.5 514.6 534.6 544.4 568.1 570.3 575.5 607.5 608.9 613.4 614 649 659.5 10 8 4 2 152025B0®5400455065%065000 length (cm) Find the first quartile for this data set. Q1 = Find the third quartile for this data set. Q3 = %3D Find the interquartile range for this data set. IQR = Find the lower fence separating outliers from usual values. Fencejow = Find the upper fence separating outliers from usual values. Fencenigh ++

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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Here is a sample data set.
197.6
221.1
223.5
226.2
236.4
238.5
261.4
263.8
280.1
325.8
328.5
357.9
361.5
361.5
361.5
362.9
380.4
380.6
382.2
395.6
416.2
416.2
418.8
434.5
435
439.8
449.4
449.4
450.8
454.6
466.1
468.3
471.1
476.9
481.8
483.5
486.3
494.6
497
510.5
510.5
510.5
514.6
534.6
544.4
568.1
570.3
575.5
607.5
608.9
613.4
614
649
659.5
10
4
152025B0054045506560Ø5700
length (cm)
Find the first quartile for this data set.
Find the third quartile for this data set.
Q =
Find the interquartile range for this data set.
IQR =
Find the lower fence separating outliers from usual values.
Fence ow
Find the upper fence separating outliers from usual values.
Fencenigh =
Transcribed Image Text:Here is a sample data set. 197.6 221.1 223.5 226.2 236.4 238.5 261.4 263.8 280.1 325.8 328.5 357.9 361.5 361.5 361.5 362.9 380.4 380.6 382.2 395.6 416.2 416.2 418.8 434.5 435 439.8 449.4 449.4 450.8 454.6 466.1 468.3 471.1 476.9 481.8 483.5 486.3 494.6 497 510.5 510.5 510.5 514.6 534.6 544.4 568.1 570.3 575.5 607.5 608.9 613.4 614 649 659.5 10 4 152025B0054045506560Ø5700 length (cm) Find the first quartile for this data set. Find the third quartile for this data set. Q = Find the interquartile range for this data set. IQR = Find the lower fence separating outliers from usual values. Fence ow Find the upper fence separating outliers from usual values. Fencenigh =
Expert Solution
Step 1

When data is given by a set containing the data points, then it is termed as raw data. For such data, any data point with value less than Q1-1.5(IQR) or with value more than Q3+1.5(IQR) can be considered as an outlier.

where, 

  • Q1 denotes the first quartile of data set.
  • Q3 denotes the third quartile of data set, 
  • IQR denotes the inter quartile range of data set, which can be given as, IQR=Q3-Q1.

The first quartile is the observation below which 25% of the observations lie and the third quartile is the observation below which 75% of the observations lie.

 

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