Here is a sample data set. 377.8 412.2 453 448.6 373.8 375.7 409.2 359.3 414.5 449.5 447.2 386.1 410.8 412 450.9 446.8 438.1 409.2 417.6 439.2 395.8 427 416.9 412.3 416.7 424.9 362.3 416.3 440.5 452.3 = 430.9 446.3 440.5 416.7 433.9 346.6 392.8 361 441.7 413.2 409.9 356.8 451.4 416.5 375.1 450.8 437.8 437.8 409.2 417 452.5 Find the first quartile for this data set. Q₁ 410 440.5 412.3 = Find the third quartile for this data set. Q3 Find the interquartile range for this data set. IQR=

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.
446.3
377.8 412.2 453 448.6 430.9
373.8 375.7 409.2 359.3 440.5
414.5 449.5 447.2 386.1 433.9
416.7
346.6
410.8
450.9 446.8
392.8
361
412
438.1 409.2 417.6 439.2
441.7
413.2
356.8
395.8 427 416.9 412.3 409.9
416.7 424.9 362.3 451.4 416.5
375.1
416.3 440.5
437.8
409.2
450.8 437.8
410 440.5 412.3 417 452.5
452.3
Find the first quartile for this data set.
Q₁ =
Find the third quartile for this data set.
Q3
=
Find the interquartile range for this data set.
IQR =
Transcribed Image Text:Here is a sample data set. 446.3 377.8 412.2 453 448.6 430.9 373.8 375.7 409.2 359.3 440.5 414.5 449.5 447.2 386.1 433.9 416.7 346.6 410.8 450.9 446.8 392.8 361 412 438.1 409.2 417.6 439.2 441.7 413.2 356.8 395.8 427 416.9 412.3 409.9 416.7 424.9 362.3 451.4 416.5 375.1 416.3 440.5 437.8 409.2 450.8 437.8 410 440.5 412.3 417 452.5 452.3 Find the first quartile for this data set. Q₁ = Find the third quartile for this data set. Q3 = Find the interquartile range for this data set. IQR =
Expert Solution
Step 1

From the provided information,

Number of observations (n) = 54

Arranging the data values into ascending order:

346.6, 356.8, 359.3, 361, 362.3, 373.8, 375.1, 375.7, 377.8, 386.1, 392.8, 395.8, 409.2, 409.2, 409.2, 409.9, 410, 410.8, 412, 412.2, 412.3, 412.3, 413.2, 414.5, 416.3, 416.5, 416.7, 416.7, 416.9, 417, 417.6, 424.9, 427, 430.9, 433.9, 437.8, 437.8, 438.1, 439.2, 440.5, 440.5, 440.5, 441.7, 446.3, 446.8, 447.2, 448.6, 449.5, 450.8, 450.9, 451.4, 452.3, 452.5, 453

 

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