Question

the data represents the heights of eruptions by a geyser.
height of eruption (in.)
67
38
50
90
80
50
70
50
56
67
77
70
71
68
63
60
70
41
87
use the heights to construct a stemplot. identify the two values that are closest to the middle when the data are sorted in order from lowest to highest.
which plot represents a stemplot of the data?
a.
3
8
4
0 1
5
0 0 0 6
6
0 3 7 7 8
7
0 0 1 7
8
0 7
9
0
b.
3
8
4
0 0 3 7 7 8
5
0 0 1 7
6
0 0 0 7
7
0 0 1 6
8
0 7
9
0
c.
3
0 1 6
4
0 0 7
5
0 0 7
6
0 0 3
7
0 0 8
8
0 1 7
9
0 7

Explanation:

Step1: Sort the data

First, sort the data set \(38,40,50,50,56,60,63,67,67,68,70,71,77,80,87,90\) in ascending order.

Step2: Find the middle - value positions

There are \(n = 16\) data points. The median position is \(\frac{n}{2}=8\) and \(\frac{n}{2}+1 = 9\) when \(n\) is even.
The 8th value is \(67\) and the 9th value is \(67\).

Answer:

A.