A sample of 60 toothbrushes is taken at random from a production line. The measurements of...

  

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A sample of 60 toothbrushes is taken at random from a production line. The measurements of their diameters (in mm) are: 1.94 2.06 2.15 1.99 2.00 2.07 2.10 2.12 2.18 2.01 2.03 1.97 1.97 2.06 2.04 3.02 2.02 1.99 2.00 2.02 2.05 2.09 1.95 2.16 2.07 1.98 2.02 2.04 2.00 2.20 1.91 2.04 2.02 1.96 2.11 2.15 2.11 2.08 1.99 2.12 2.01 2.09 2.23 2.30 2.20 1.90 2.05 2.20 2.03 2.14 2.21 1.96 2.14 2.58 2.14 2.02 2.02 2.14 2.16 2.09 a) Compile a grouped frequency distribution for these data using a suitable number of classes and class interval of 0.2mm. b) Compute relative frequency and cumulative frequency distribution. c) Draw a cumulative frequency polygon for the distribution above. A sample of 60 toothbrushes is taken at random from a production line. The measurements of their diameters (in mm) are: 1.94 2.06 2.15 1.99 2.00 2.07 2.10 2.12 2.18 2.01 2.03 1.97 1.97 2.06 2.04 3.02 2.02 1.99 2.00 2.02 2.05 2.09 1.95 2.16 2.07 1.98 2.02 2.04 2.00 2.20 1.91 2.04 2.02 1.96 2.11 2.15 2.11 2.08 1.99 2.12 2.01 2.09 2.23 2.30 2.20 1.90 2.05 2.20 2.03 2.14 2.21 1.96 2.14 2.58 2.14 2.02 2.02 2.14 2.16 2.09 a) Compile a grouped frequency distribution for these data using a suitable number of classes and class interval of 0.2mm. b) Compute relative frequency and cumulative frequency distribution. c) Draw a cumulative frequency polygon for the distribution above.