PPH4811 Assignment 1 2026 | Due June 2026 - Distinction Guaranteed

PPH4811 ASSIGNMENT 1 2026

DUE MAY 2026




Data: 12.0, 10.5, 9.5, 6.3, 13.5, 12.5, 7.2 (units: g/dL)



1. Measures of central tendency – formulas and steps


(a) Mean


Formula:

xˉ=∑i=1nxinxˉ=n∑i=1nxi

where xixi = each observation, nn = total number of observations.




Sum all 7 values:

12.0+10.5+9.5+6.3+13.5+12.5+7.2=71.512.0+10.5+9.5+6.3+13.5+12.5+7.2=71.5


Divide the sum by the number of patients (n = 7):

xˉ=71.57=10.214...≈10.2xˉ=771.5=10.214...≈10.2


Mean haemoglobin concentration = 10.2 g/dL

, (b) Median


Formula:

If nn is odd, median is the (n+1)/2(n+1)/2-th ordered value.

If nn is even, median is the average of the n/2n/2-th and (n/2)+1(n/2)+1-th ordered

values.




Arrange the data in ascending order:

6.3, 7.2, 9.5, 10.5, 12.0, 12.5, 13.5


Here n=7n=7 (odd). The middle position is (7+1)/2=4(7+1)/2=4.


The 4th value in the ordered list is 10.5.


Median haemoglobin concentration = 10.5 g/dL.




(c) Mode


The mode is the value that appears most frequently in a data set.