Question

the data represents the heights of eruptions by a geyser.
height of eruption (in.)
62 34 50 90
80 50 40 70
50 64 77 53
53 65 64 90
77 70 40 82
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|4
4|0 0
5|0 0 3 3
6|2 4 4 5
7|0 7 7
8|0 2
9|0
b.
3|4
4|0 2 3 4 5
5|0 0 7 7
6|0 0 2
7|0 0 3
8|0
9|0
c.
3|0 0 3
4|0 2
5|0 0 4
6|0 0 4
7|0 0 5
8|0 2
9|0 2
identify the two values that are closest to the middle when the data are sorted in order from lowest to highest.
the values closest to the middle are □ inches and □ inches.
(type whole numbers. use ascending order.)

Explanation:

Step1: Sort the data

34, 40, 40, 50, 50, 50, 53, 53, 62, 64, 64, 65, 70, 70, 77, 77, 80, 82, 90

Step2: Find the middle - position

There are \(n = 19\) data points. The middle - position is \(\frac{n + 1}{2}=\frac{19+1}{2}=10\)th value when sorted.

Step3: Identify the values closest to the middle

The 9th value is 62 and the 10th value is 64.

Answer:

62, 64