Question

the accompanying data set lists diastolic blood pressure measurements (mm hg) of females. all of the values are even numbers. construct a stemplot. identify the two values that are closest to the middle when the data are sorted in order from lowest to highest. (these values are often used to find the median.)
construct the stemplot.

the two values that are closest to the middle when the data are sorted in order from lowest to highest are □ and □.
(type integers or decimals. do not round. use ascending order.)

Explanation:

Step1: Count the number of data points

There are \(n = 20\) data points.

Step2: Find the position of the median

Since \(n = 20\) (an even number), the median is the average of the \(\frac{n}{2}=10^{th}\) and \((\frac{n}{2}+ 1)=11^{th}\) ordered data values.

Step3: Order the data (already ordered as per the problem statement)

The ordered data set: \(60,60,62,62,64,64,66,66,66,68,70,72,72,72,74,76,76,80,82,84,84,88,90,90\) (wait, no - let's recount. Wait the original data (assuming the left - hand side is the stem and right - hand side is the leaf. If we write out all the data:
From stem \(6\): \(60,62,64,66,66,68\)
From stem \(7\): \(70,72,72,72,74,76,76\)
From stem \(8\): \(80,82,84,84,88\)
From stem \(9\): \(90,90\)
The ordered data set (in ascending order): \(60,62,64,66,66,68,70,72,72,72,74,76,76,80,82,84,84,88,90,90\)
The \(10^{th}\) value is \(72\) and the \(11^{th}\) value is \(74\)

Answer:

\(72\) and \(74\)