Math

QuestionCreate a stem plot for the geyser heights: 65, 34, 50, 90, 80, 50, 40, 70, 50, 65, 78, 59, 59, 64, 61, 60, 71, 70, 44, 86. Find the two middle values after sorting.

Studdy Solution

STEP 1

Assumptions1. The data represents the height of eruptions by a geyser. . We need to construct a stem plot using these heights.
3. After sorting the data in ascending order, we need to identify the two values that are closest to the middle.

STEP 2

First, we need to list all the given data in one single row.
6534509080504070506578595964616071704486\begin{array}{llllllllllllllllllll}65 &34 &50 &90 &80 &50 &40 &70 &50 &65 &78 &59 &59 &64 &61 &60 &71 &70 &44 &86\end{array}

STEP 3

Next, we need to sort the data in ascending order.
3440445050505959606164656570707178808690\begin{array}{llllllllllllllllllll}34 &40 &44 &50 &50 &50 &59 &59 &60 &61 &64 &65 &65 &70 &70 &71 &78 &80 &86 &90\end{array}

STEP 4

Now, we can construct the stem plot. The stem is the tens digit and the leaves are the ones digit.
3440,40,0,0,9,960,1,4,,70,0,180,690\begin{array}{ll} 3 &4 \\ 4 &0,4 \\ &0,0,0,9,9 \\ 6 &0,1,4,, \\ 7 &0,0,1 \\ 8 &0,6 \\ 9 &0 \\ \end{array}

STEP 5

To find the two values closest to the middle, we need to find the median. Since we have an even number of data points, the median will be the average of the two middle numbers.

STEP 6

Count the number of data points to find the middle. There are20 data points, so the two middle numbers will be the10th and11th numbers.

STEP 7

Identify the10th and11th numbers in the sorted list.
10thnumber=6110th\, number =6111thnumber=6411th\, number =64The two values closest to the middle are61 and64.

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