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Name:
Iotle, Median and Range of a Data Set
Solve the problems.
1 The stem-and-leaf plot shows the number of birds at a watering hole each hour. Which number of birds is less than the median? Seleci ail thai appiy.
(A) 18
(B) 21
(C) 25
(D) 26
(E) 29




Birds at Watering Hole


Stem



Leaves


2588









1


2


3







2
5
8
8






1
3
5
5
6





0
1
4
5
9
9









Key: 
1//2=12




(F) 35
2. The table shows the heights of trees in a field, in feet. What are the mode, median, and range of the data?




Tree Heights


Height (feet)
Number of Trees



8(1)/(3)
1111



8(2)/(3)
1



9(2)/(3)
11


101
11

Name:\newlineIotle, Median and Range of a Data Set\newlineSolve the problems.\newline11 The stem-and-leaf plot shows the number of birds at a watering hole each hour. Which number of birds is less than the median? Seleci ail thai appiy.\newline(A) 1818\newline(B) 2121\newline(C) 2525\newline(D) 2626\newline(E) 2929\newline\begin{tabular}{|c|c|}\newline\hline \multicolumn{22}{|c|}{ Birds at Watering Hole } \\\newline\hline Stem & \begin{tabular}{l} \newlineLeaves \\\newline25882588\newline\end{tabular} \\\newline\hline \begin{tabular}{l}\newline11 \\\newline22 \\\newline33\newline\end{tabular} & \begin{tabular}{llllllllll}\newline22 & 55 & 88 & 88 \\\newline11 & 33 & 55 & 55 & 66 & & & \\\newline00 & 11 & 44 & 55 & 99 & 99 \\\newline\end{tabular} \\\newline\hline & Key: 1/2=12 1 / 2=12 \\\newline\hline\newline\end{tabular}\newline(F) 3535\newline22. The table shows the heights of trees in a field, in feet. What are the mode, median, and range of the data?\newline\begin{tabular}{|c|c|}\newline\hline \multicolumn{22}{|c|}{ Tree Heights } \\\newline\hline Height (feet) & Number of Trees \\\newline\hline 813 8 \frac{1}{3} & 11111111 \\\newline823 8 \frac{2}{3} & 11 \\\newline923 9 \frac{2}{3} & 1111 \\\newline101101 & 1111 \\\newline\hline\newline\end{tabular}

Full solution

Q. Name:\newlineIotle, Median and Range of a Data Set\newlineSolve the problems.\newline11 The stem-and-leaf plot shows the number of birds at a watering hole each hour. Which number of birds is less than the median? Seleci ail thai appiy.\newline(A) 1818\newline(B) 2121\newline(C) 2525\newline(D) 2626\newline(E) 2929\newline\begin{tabular}{|c|c|}\newline\hline \multicolumn{22}{|c|}{ Birds at Watering Hole } \\\newline\hline Stem & \begin{tabular}{l} \newlineLeaves \\\newline25882588\newline\end{tabular} \\\newline\hline \begin{tabular}{l}\newline11 \\\newline22 \\\newline33\newline\end{tabular} & \begin{tabular}{llllllllll}\newline22 & 55 & 88 & 88 \\\newline11 & 33 & 55 & 55 & 66 & & & \\\newline00 & 11 & 44 & 55 & 99 & 99 \\\newline\end{tabular} \\\newline\hline & Key: 1/2=12 1 / 2=12 \\\newline\hline\newline\end{tabular}\newline(F) 3535\newline22. The table shows the heights of trees in a field, in feet. What are the mode, median, and range of the data?\newline\begin{tabular}{|c|c|}\newline\hline \multicolumn{22}{|c|}{ Tree Heights } \\\newline\hline Height (feet) & Number of Trees \\\newline\hline 813 8 \frac{1}{3} & 11111111 \\\newline823 8 \frac{2}{3} & 11 \\\newline923 9 \frac{2}{3} & 1111 \\\newline101101 & 1111 \\\newline\hline\newline\end{tabular}
  1. List numbers: List all the numbers from the stem-and-leaf plot: 12,15,15,16,20,21,24,25,29,29,3512, 15, 15, 16, 20, 21, 24, 25, 29, 29, 35.
  2. Count total: Count the total number of observations to find the median position:\newlineThere are 1111 observations.
  3. Calculate median: Calculate the median position: \newlineegin{equation}(1111 + 11) / 22 = 66^{\text{th}} \text{position}.\newline\end{equation}
  4. Identify median: Identify the median value:\newlineThe 6th6^{\text{th}} value in the ordered list is 2121.
  5. Find less than: Find numbers less than the median:\newlineNumbers less than 2121 are 1212, 1515, 1515, 1616, and 2020.
  6. Match to options: Match the numbers less than the median to the options given: (A) 1818 is not in the list, (B) 2121 is the median, (C) 2525 is greater than the median, (D) 2626 is greater than the median, (E) 2929 is greater than the median, (F) 3535 is greater than the median.
  7. Realize mistake: Realize a mistake was made in the previous step because we didn't compare the correct numbers to the median.

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