Data Random number generator to generate 50 values between zero and one.  0.0829 0.1917 0.8315 0.4897 0.5853 0.1376 0.9130 0.0618 0.2030 0.4521 0.3671 0.1921 1.000 0.5895 0.5568 0.3556 0.1293 0.5557 0.2341 0.4925 0.1948 0.6502 0.4771 0.7551 0.5425 0.9948 0.9128 0.8358 0.6053 0.6806 0.4290 0.2006 0.5654 0.3456 0.6568 0.3163 0.9002 0.6010 0.5173 0.4209 0.2407 0.5987 0.8626 0.2776 0.0051 0.8137 0.8831 0.9749 0.1041 0.6744 Plot the Data Construct a box plot of the data. Be sure to use a ruler t scale accurately and draw straight edges.  Do you notice any potential outliers? If so, which values are they? Either way, justify your answer numerically. (Recall that any DATA that are less than Q1 – 1.5(IQR) or more than Q3 + 1.5(IQR) are potential outliers. IQR means interquartile range.) Suppose that the number of values generated was 500, not 50. How would that affect what you would expect the empirical data to be and the shape of its graph to look like?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Data

Random number generator to generate 50 values between zero and one. 

0.0829

0.1917

0.8315

0.4897

0.5853

0.1376

0.9130

0.0618

0.2030

0.4521

0.3671

0.1921

1.000

0.5895

0.5568

0.3556

0.1293

0.5557

0.2341

0.4925

0.1948

0.6502

0.4771

0.7551

0.5425

0.9948

0.9128

0.8358

0.6053

0.6806

0.4290

0.2006

0.5654

0.3456

0.6568

0.3163

0.9002

0.6010

0.5173

0.4209

0.2407

0.5987

0.8626

0.2776

0.0051

0.8137

0.8831

0.9749

0.1041

0.6744

Plot the Data

  1. Construct a box plot of the data. Be sure to use a ruler t scale accurately and draw straight edges. 
  2. Do you notice any potential outliers? If so, which values are they? Either way, justify your answer numerically. (Recall that any DATA that are less than Q1 – 1.5(IQR) or more than Q3 + 1.5(IQR) are potential outliers. IQR means interquartile range.)
  3. Suppose that the number of values generated was 500, not 50. How would that affect what you would expect the empirical data to be and the shape of its graph to look like?
Expert Solution
Step 1:-(a)

Arrange the numbers in ascending order:
0.01,0.06,0.08,0.1,0.13,0.14,0.19,0.19,0.19,0.2,0.2,0.23,0.24,0.28,0.32,0.35,0.36,0.37,0.42,0.43,0.45,0.48,0.49,0.49,0.52,0.54,0.56,0.56,0.57,0.59,0.59,0.6,0.6,0.61,0.65,0.66,0.67,0.68,0.76,0.81,0.83,0.84,0.86,0.88,0.9,0.91,0.91,0.97,0.99,1

The minimum value
Minimum =0.0051 (the smallest number)

The maximum value
Maximum =1 (the largest number)

 

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