Answer:
a) 117.4
b) 117.9
c) Option A) When there is rounding or grouping, the median can be highly sensitive to small change
Step-by-step explanation:
We are given the following data set in the question:
108.6, 117.4, 128.4, 120.0, 103.7, 112.0, 98.3, 121.5, 123.2
n = 9
a) Median of the reported blood pressure values
Sorted Values: 98.3, 103.7, 108.6, 112.0, 117.4, 120.0, 121.5, 123.2, 128.4
Median =
b) New median of the reported values
Data: 108.6, 117.9, 128.4, 120.0, 103.7, 112.0, 98.3, 121.5, 123.2
Sorted Values: 98.3, 103.7, 108.6, 112.0, 117.9, 120.0, 121.5, 123.2, 128.4
New Median =
c) Since median is a position based descriptive statistics, a small change in values can bring a change in the median value as the order of the data may change.
Option A) When there is rounding or grouping, the median can be highly sensitive to small change