values are often reported to the nearest 5 are givern 108.6 117.4 128.4 120.0 10

Question

values are often reported to the nearest 5 are givern 108.6 117.4 128.4 120.0 103.7 112.0 98.3 121.5 123.2 (e) What is the median of the reported blood pressure values? 125 x mmHg (b) Suppose the blood pressure of the second individual is 117.6 rather than 117.4 (a small change in a single value). What is the new median of the reported values? 130 x mmHg What does this say about the sensitivity of the median to rounding or grouping in the data? When there is rounding or grouping, the median is not sensitive to small changes. When there is rounding or grouping, the median is only sensitive to large changes. o When there is rounding or grouping, the median can be highly sensitive to small change

Explanation / Answer

( a )

The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

98.3   103.7   108.6   112.0   117.4   120.0   121.5   123.2   128.4   

So, the median is 117.4

( b )

he median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

98.3   103.7   108.6   112.0   117.6   120.0   121.5   123.2   128.4   

So, the median is 117.6 .

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