the data represents the heights of eruptions by a geyser. height of eruption (in.) 65 80 50 54 75 33 50 65…

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 84 70 60 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 4 5|0 0 0 5 5 6|0 0 5 7 7|0 5 8|0 4 9|0 b. 3|0 0 4 4|0 0 5 5 5|0 0 0 7 6|0 0 5 7|0 0 5 8|0 4 9|0 4 c. 3|3 4|0 0 4 5|0 0 0 5 5 6|0 0 4 7|0 0 5 8|0 9|0 identify the two values closest to the middle are □ inches and □ inches. (type whole numbers. use ascending order.)

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 84 70 60 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 4 5|0 0 0 5 5 6|0 0 5 7 7|0 5 8|0 4 9|0 b. 3|0 0 4 4|0 0 5 5 5|0 0 0 7 6|0 0 5 7|0 0 5 8|0 4 9|0 4 c. 3|3 4|0 0 4 5|0 0 0 5 5 6|0 0 4 7|0 0 5 8|0 9|0 identify the two values closest to the middle are □ inches and □ inches. (type whole numbers. use ascending order.)

Answer

Explanation:

Step1: Sort the data

The data set is (33,40,40,50,50,50,54,60,65,65,67,70,70,75,76,80,84,90).

Step2: Determine the middle - values

There are (n = 18) data points. Since (n) is even, the median is the average of the (\frac{n}{2}=9)th and ((\frac{n}{2}+ 1)=10)th ordered values. The 9th value is (65) and the 10th value is (65). The two values closest to the middle are (65) and (65).

Step3: Construct the stemplot

For the stemplot:

  • The stems are the tens - digits: (3,4,5,6,7,8,9).
  • For stem (3), the leaf is (3) (from (33)).
  • For stem (4), the leaves are (0,0) (from (40,40)).
  • For stem (5), the leaves are (0,0,0,4) (from (50,50,50,54)).
  • For stem (6), the leaves are (0,5,5,7) (from (60,65,65,67)).
  • For stem (7), the leaves are (0,0,5,6) (from (70,70,75,76)).
  • For stem (8), the leaves are (0,4) (from (80,84)).
  • For stem (9), the leaf is (0) (from (90)).

The correct stemplot is the one that matches this construction. Based on the general construction of stemplots, we can see that the stemplot should have the correct mapping of stems and leaves as described above.

Answer:

The two values closest to the middle are (65), (65). The stemplot should have stems (3 - 9) with corresponding leaves as described in Step 3.