Question

the data represents the heights of eruptions by a geyser. height of eruption (in.) 60 80 50 57 71 36 50 67 61 70 50 40 76 68 49 90 70 59 60 88 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 | 6 4 | 0 9 5 | 0 0 0 7 9 6 | 0 1 7 8 7 | 0 0 1 8 | 0 8 9 | 0 b. 3 | 0 7 9 4 | 0 9 5 | 0 0 0 7 9 6 | 0 1 7 8 7 | 0 0 1 8 | 0 8 9 | 0 c. 3 | 6 4 | 0 9 5 | 0 0 0 9 6 | 0 0 1 7 8 7 | 0 0 1 8 | 0 8 9 | 0

Explanation:

Step1: Sort the data

36, 40, 49, 50, 50, 50, 57, 59, 60, 60, 61, 67, 70, 70, 71, 76, 80, 80, 88, 90

Step2: Determine the middle - values

There are 20 data points. The middle is between the 10th and 11th ordered values. The 10th value is 60 and the 11th value is 61.

Step3: Analyze stemplots

For a stemplot, the stems are the tens - digits and the leaves are the units - digits.
In option A:
Stem 3 has leaf 6, stem 4 has leaves 0, 9, stem 5 has leaves 0, 0, 0, 7, stem 6 has leaves 0, 0, 1, 7, stem 7 has leaves 0, 0, 1, 6, stem 8 has leaves 0, 0, 8, stem 9 has leaf 0. This is the correct stemplot.
In option B, the order and values of leaves are incorrect.
In option C, the order and values of leaves are incorrect.

Answer:

A. 60, 61