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.