Question

the data represents the heights of eruptions by a geyser. height of eruption (in.) 65 80 50 54 75 33 50 65 60 70 50 40 76 67 40 90 70 50 60 84 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|000 5|0000557 6|0055 7|005 8|04 9|0 b. 3|004 4|005 5|0005 6|007 7|000 8|056 9|4 c. 3|3 4|004 5|0056 6|005 7|004 8|0 9|0

Explanation:

Step1: Organize data in ascending order

33, 40, 40, 50, 50, 50, 54, 60, 65, 67, 70, 70, 75, 76, 80, 84, 90

Step2: Identify stem - and - leaf structure

The stems will be the tens - digit values (3, 4, 5, 6, 7, 8, 9) and the leaves will be the units - digit values.
For stem 3, leaf is 3. For stem 4, leaves are 0, 0. For stem 5, leaves are 0, 0, 0, 4. For stem 6, leaves are 0, 5, 7. For stem 7, leaves are 0, 0, 5, 6. For stem 8, leaves are 0, 4. For stem 9, leaf is 0.

Step3: Analyze middle values

There are 17 data points. The middle value is the 9th one when sorted. The 8th value is 65 and the 9th value is 67.

Step4: Match with options

Based on the correct stem - and - leaf plot construction and identification of middle values, we need to check which option has the correct stem - and - leaf plot and correct identification of middle - close values.

Answer:

(Without seeing the full content of options clearly, assume we have constructed the stem - and - leaf plot as follows:
3 | 3
4 | 0 0
5 | 0 0 0 4
6 | 0 5 7
7 | 0 0 5 6
8 | 0 4
9 | 0
And the two values closest to the middle are 65 and 67. You need to choose the option that matches this.)