Question

the data represents the heights of eruptions by a geyser. height of eruption (in.) 67 80 50 59 73 30 50 63 65 70 50 40 76 65 47 90□ 70 50 60 81 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 4 5 6 7 8 9 07 0009 0005 0357 0079 01 01 b. 3 4 5 6 7 8 9 00 003557 001 036 0079 0 c. 3 4 5 6 7 8 9 079 003 005 005 00 036 01

Explanation:

Step1: Sort the data

30, 40, 47, 50, 50, 50, 59, 60, 63, 65, 65, 67, 70, 73, 76, 80, 81, 90

Step2: Determine middle - values

There are 18 data points. The middle is between the 9th and 10th ordered values. The 9th value is 63 and the 10th value is 65.

Step3: Construct stemplot

For the stemplot, the tens - digit is the stem and the units - digit is the leaf.
3 | 0
4 | 0 7
5 | 0 0 0 9
6 | 0 3 5 5 7
7 | 0 3 6
8 | 0 1
9 | 0

Comparing with the given options, we can see the correct stemplot and identify the middle - values.

Answer:

The two values closest to the middle when sorted are 63 and 65. The correct stemplot needs to be visually compared with the options A, B, C (not shown in full detail here for stemplot comparison as we constructed the general stemplot structure).