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?
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?
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)
Step by step
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