Question

the data represents the heights of eruptions by a geyser.
height of eruption (in.)
67 38 50 90
80 50 70
50 67 77
56 68 63 60
71 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 7
7 0 0 1 6
8 0
9 0
c.
3 0 1 6
4 0 0 0 7
5 0 0 3 7
6 0 0 8
7 0 0 1 7
8 0 1 7
9 0 7
identify the two values that are closest to the middle are \boxed{} inches and \boxed{} inches.
( type whole numbers. use ascending order. )

Explanation:

Step1: Sort the data

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

Step2: Find the middle values

Since there are \(n = 16\) data points (an even - numbered data set), the median is the average of the \(\frac{n}{2}=8^{th}\) and \((\frac{n}{2}+1)=9^{th}\) values.
The \(8^{th}\) value is \(67\) and the \(9^{th}\) value is \(67\).

Answer:

The two values closest to the middle are \(67\) inches and \(67\) inches.