the data represents the heights of eruptions by a geyser. height of eruption (in.) 67 30 50 90 70 50 40 76…

the data represents the heights of eruptions by a geyser. height of eruption (in.) 67 30 50 90 70 50 40 76 65 47 81 70 50 60 63 65 73 59 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 0 4 0 7 5 0 0 0 0 9 5 5 7 6 0 3 6 7 0 0 7 9 8 0 1 9 0 b. 3 0 4 0 7 5 0 0 0 0 9 5 5 7 6 0 3 6 7 0 0 1 8 0 9 0 c. 3 0 7 9 4 0 7 5 0 0 0 0 3 5 5 7 6 0 0 5 7 0 0 3 6 8 0 1 9 0
Answer
Explanation:
Step1: Sort the data
30, 40, 47, 50, 50, 50, 59, 60, 63, 65, 65, 67, 70, 70, 73, 76, 80, 81, 90
Step2: Construct stem - plot
The stems are the tens - digits and the leaves are the units - digits. For stem 3, leaf is 0. For stem 4, leaves are 0, 7. For stem 5, leaves are 0, 0, 0, 9. For stem 6, leaves are 0, 3, 5, 5, 7. For stem 7, leaves are 0, 0, 3, 6. For stem 8, leaves are 0, 1. For stem 9, leaf is 0.
Step3: Find middle values
There are 19 data points. The middle value is the 10th value when sorted. The 9th value is 65 and the 10th value is 65.
Answer:
The correct stemplot is the one that matches the constructed stemplot above and the two values closest to the middle are 65, 65. Without seeing the full options clearly (as the image quality has some limitations), but based on the steps above, you can identify the correct stemplot among A, B, C. If we assume the stemplot is constructed correctly in one of the options, the two middle - like values are 65, 65.