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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 |
- 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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