Reference no: EM132232568
After manufacture, computer disks are tested for errors. The table below gives the number of errors detected
on a random sample of 100 disks.
Number of defects 0 1 2 3 4
Frequency 41 31 15 8 5
(a) Construct a frequency histogram of the information by creating bins at [-.5, .5), [.5, 1.5), etc.
(b) What is the shape of the histogram for the number of defects observed in this sample?
(c) Calculate the mean and median number of errors detected on the 100 disks. How do these values compare and is that consistent with what we would guess based on the shape?
(d) Calculate the sample standard deviation with your calculator and R. Are the values consistent between the two methods? Explain what this value means in the context of the problem.
(e) Calculate the first and third quartiles and IQR by hand and with R. Are the values consistent betweeen the two methods? Explain what the three values mean in the context of the problem.
(f) What proportion of the computer disks had a number of errors greater than the mean number of errors?
(g) What range of values for this sample data are not considered outliers using the [Q1-1.5IQR, Q3+1.5IQR] designation (using the IQR you calculated by hand)?.
(h) Sketch a boxplot of the data by hand (using the relevant values you calculated by hand).
(i) Compare and contrast (briefly) the information about the data given by the histogram in part a and the boxplot in part h.