Question

the data represents the heights of eruptions by a geyser. height of eruption (in.) 33 50 40 50 90 70 53 70 60 53 60 88 43 71 62 65 70 55 71 60 80 50 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|3 4|0 0 3 5|0 0 3 3 0 6|0 0 0 2 5 7|0 0 1 1 8|0 8 9|0 b. 3|0 3 5 4|0 0 3 5|0 0 1 3 6|0 0 2 5 7|0 0 1 1 8|0 1 9|0 8 c. 3|3 4|0 1 2 3 5 5|0 0 1 3 6|0 0 8 7|0 0 3 5 8|0 9|0

Explanation:

Step1: Sort the data

33, 40, 43, 50, 50, 53, 55, 60, 60, 61, 62, 65, 70, 70, 71, 71, 80, 88, 90

Step2: Determine the stems and leaves

The stems are the tens - digit values and the leaves are the units - digit values.

Step3: Analyze the stemplots

For option A:
Stem 3: Leaf 3
Stem 4: Leaf 0, 3
Stem 5: Leaf 0, 0, 3, 5
Stem 6: Leaf 0, 0, 1, 2
Stem 7: Leaf 0, 0, 1, 1
Stem 8: Leaf 0, 8
Stem 9: Leaf 0
This is the correct stemplot.
For option B: The leaves are not arranged correctly for some stems.
For option C: The leaves are not arranged correctly for some stems.

Step4: Find the middle values

There are 19 data points. The middle value is the 10th value when sorted. The 9th value is 60 and the 10th value is 61.

Answer:

The correct stemplot is A. The two values closest to the middle are 60 and 61.