The following data shows the weight (kg) of 121 students randomly selected from UCSI University campus [see Assignment_Data.xslx]. This dataset is for both Question 1 and 2.

89.91 84.07 91.00 64.47 68.92 86.07 102.44 95.49 102.59 75.32 91.03 86.93 69.83 75.46 60.25 77.63 106.43 84.49 87.19 75.76 85.69 89.14 81.54 78.74 60.41 82.12 71.85 73.34 80.17 92.40 72.23 77.03 66.43 88.44 62.28 108.15 111.52 60.92 60.50 99.43 82.02 69.03 71.40 77.92 74.31 103.73 69.11 107.26 72.03 62.89 73.77 74.57 92.35 83.21 89.09 100.25 70.07 88.74 98.52 75.27 70.78 87.22 73.10 82.28 87.82 82.31 70.91 76.64 81.44 78.50 74.50 85.89 79.10 69.85 113.05 81.63 60.20 78.69 78.58 97.92 90.12 86.06 79.12 93.70 103.25 71.54 103.19 87.05 81.66 66.10 93.53 74.51 88.02 86.93 77.96 94.81 73.45 69.21 83.08 69.21 72.19 66.80 70.01 71.56 69.87 74.23 72.03 70.87 71.76 68.37 65.03 64.86 81.07 69.34 80.56 98.43 87.33 98.34 90.12 77.26 60.43

Question 1 of 3 [25]

Answer by HAND on test pads.

(a) State the kind of sampling involved in obtaining this sample of 120 students.

(b) Choose the right words from below: The weight of a student is a -

[qualitative] / [quantitative, discrete] / [quantitative, continuous] variable, which is at the -

[nominal / [ordinal] / [interval] / [ratio] level of measurement.

(c) Construct a frequency distribution table with: - lower class limit of the lowest class = 60kg

- class width of all classes = 8kg

(d) From the frequency distribution table constructed in (c), find: - the mean

- the median

- the mode

- the sample variance

- the coefficient of variation

of that 121students' weights ( 4 to 6 significant figures for each )

(e) Can an unbiased estimate of the population's range (i.e. the"sample range") be made? Why?

Question 2 of 3 [20]

You may use MS Excel to sort out the data [see Assignment_Data.xslx], youdo not have towrite down all the sorted numbers. The remaining procedure of computations however still need to answered by HAND on test pads.

By using the inclusive or the exclusive version (but do not mix!) of position measurement:

a) Calculate

- the 43rdpercentile

- the 37thpercentile

- the percentile rank of 70.78kg

b) Construct a Box and Whisker Plot for the data, showing all the necessary calculations for the Quartiles, Boundaries, etc.

Question 3 of 3 [5]

You will need to go ONLINE to search for the answer

The famous bell-shaped curve of the Standard Normal Distribution, comes from itsP_________ D________ Function : (x) .

which has the formula(x) =