The production manager of a continuous process plant has been given his weekly production targets

The production manager of a continuous process plant has been given his weekly production targets. The following data shows his weekly production as a percentage of his targets. Fifty weekly figures are consistent with a two-week closure at Christmas. A value below 100 shows a production shortfall. A value above 100 shows the week’s target have been exceeded.

91 96 118 88 106 92 113 111 98 109
87 108 100 100 92 98 99 108 108 97
94 111 102 103 88 94 93 99 91 105
103 96 93 77 98 99 100 102 103 104
106 97 104 96 100 103 102 94 93 94
  1. With the aid of a suitable grouped cumulative table draw an ogive of this data.
  • Draw a suitable histogram for the data.
  • Use the histogram to estimate the mode of the data.
  • the mean and standard deviation
  • Estimate the mean (State the 95% confidence limits) and standard deviation of the population, Stating any assumptions made.

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