Question

the data represents the heights of eruptions by a geyser
height of eruption (in )
64 32 50 90
80 50 40 70
50 65 74 53
59 63 69 60
73 70 42 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|029
4|034
5|005
6|009
7|003
8|034
9|0
b.
3|2
4|02
5|00039
6|03459
7|0034
8|07
9|0
c.
3|2
4|033459
5|00014
6|007
7|0029
8|0
9|0
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

32, 40, 42, 42, 50, 50, 50, 53, 59, 60, 63, 65, 69, 70, 70, 73, 74, 80, 87, 90

Step2: Find the position of the middle

There are \(n = 20\) data - points. For an even - numbered data set, the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+ 1)\)th ordered observations. \(\frac{n}{2}=\frac{20}{2}=10\) and \(\frac{n}{2}+1 = 11\).

Step3: Identify the middle - two values

The 10th value is 60 and the 11th value is 63.

Answer:

60, 63