the accompanying data set lists diastolic blood - pressure measurements (mm hg) of females. all of the…

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.) 66 64 66 80 72 68 78 74 84 76 94 72 70 70 88 74 62 80 70 68 74 74 66 76 construct the stemplot.
Answer
Explanation:
Step1: Sort the data
62, 64, 66, 66, 66, 68, 68, 70, 70, 70, 70, 72, 72, 74, 74, 74, 74, 76, 76, 76, 78, 80, 80, 84, 88, 94
Step2: Construct the stemplot
The tens - digit will be the stem and the units - digit will be the leaf.
| Stem | Leaf |
|---|---|
| 6 | 2 4 6 6 6 8 8 |
| 7 | 0 0 0 0 2 2 4 4 4 4 6 6 6 8 |
| 8 | 0 0 4 8 |
| 9 | 4 |
Step3: Find the middle values
There are (n = 26) data points. The position of the middle values for an even - numbered data set is (\frac{n}{2}=13) and (\frac{n}{2}+1 = 14). The 13th value is 74 and the 14th value is 74.
Answer:
Stemplot:
| Stem | Leaf |
|---|---|
| 6 | 2 4 6 6 6 8 8 |
| 7 | 0 0 0 0 2 2 4 4 4 4 6 6 6 8 |
| 8 | 0 0 4 8 |
| 9 | 4 |
| The two values closest to the middle are 74, 74. |