Math

QuestionCreate a stem-and-leaf plot for these data: 9, 8, 6, 15, 14, 11, 13, 16, 19, 22, 35, 25, 32, 34, 28, 31. If no leaves, write "None".

Studdy Solution

STEP 1

Assumptions1. The data given represents the number of terrorist attacks against a certain country over a16-year period. . The data is given as9,8,6,15,14,11,13,16,19,22,35,25,32,34,28,313. We are required to construct a stem and leaf plot for the data.

STEP 2

First, we need to sort the data in ascending order. This will make it easier to construct the stem and leaf plot.
The sorted data is6,8,9,11,13,14,15,16,19,22,25,28,31,32,34,35

STEP 3

In a stem and leaf plot, the "stem" is the left part of the number and the "leaf" is the right part of the number. For this data set, we will use the tens place as the stem and the units place as the leaf.

STEP 4

We start by creating the stems. The smallest number in the data set is6 and the largest is35. So, our stems will range from0 to3.

STEP 5

Now, we will add the leaves to each stem. The leaves should be written in increasing order for each stem.
For the stem0, the leaves are,8,9For the stem1, the leaves are1,3,4,5,,9For the stem2, the leaves are2,5,8For the stem3, the leaves are1,2,4,5

STEP 6

Now, we can write the stem and leaf plot.
\begin{align*} 0 & | &6,8,9 \\ 1 & | &1,3,4,5,6,9 \\ 2 & | &2,5,8 \\ 3 & | &1,2,4,5 \\ \end{align*}
Each line in the plot represents a "stem" and the numbers on the right of the line are the "leaves". For example, the first line represents the numbers6,8, and9.

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