Q1: The thickness of 120 blanks has been measured and the data tabulated below: Thickness range

Question: Q1: The thickness of 120 blanks has been measured and the data tabulated below:

*Thickness range mm*	*Frequency (no. of samples)*
49.89 - 49.91	5
49.92 - 49.94	17
49.95 - 49.97	26
49.98 - 50.00	30
50.01 - 50.03	23
50.04 - 50.06	15
50.07 - 50.09	4

a) Calculate the mean thickness of the measured samples

b) Draw a histogram and a cumulative frequency diagram of the data and use these to establish the modal class, the median thickness and the interquartile range.

c) Calculate the standard deviation for the data. You may wish to use a coded method around the value of 50.00mm with a unit size of 0.01mm.

d) Calculate the limits within which you would expect (a) 95% and (b) 99% of components to fall. In what way would you use this information in a manufacturing context?

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