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--- measuring_central_tendency [2019/09/16 08:30] – hkimscil
+++ measuring_central_tendency [2019/09/30 20:25] (current) – removed hkimscil
@@ Line 1: / Line 1: @@
-====== Measuring Central Tendency ======
-===== mean =====
-$$ \begin{equation*}
-\text{Sum of all elements} = X_1 + X_2 + X_3 + X_4 + X_5 + . . . + X_n
-\end{equation*}
-$$
-$$  \begin{equation*}
-X_1 + X_2 + X_3 + X_4 + X_5 + . . . + X_n = \sum\limits_{i=1}^{n} X_i
-\end{equation*}
-$$
-$$  \begin{equation*}
-\frac{\sum\limits_{i=1}^{n} X_i}{n}
-\end{equation*}
-$$
-$$  \begin{equation*}
-\mu = \frac{\sum\limits_{i=1}^{n} X_i}{n}
-\end{equation*}
-$$
-|age   | 19  | 20 | 21  |
-|freq  | 1   | 3  | 1   |
-$$  \begin{equation*}
-\begin{split}
-\mu = \frac{\sum\limits_{}^{} \text{fx}}{\sum{\text{f}}}
-    = \frac{1 \text{x} 19 + 3 \text{x} 20 + 1 \text{x} 21}{5}
-\end{split}
-\end{equation*}
-$$
-===== median =====
-<code>{19, 19, 20, 20, 20, 21, 21, 100, 102}</code>
-<code>{19, 20, 20, 20, 21, 21, 100, 102}</code>
-**e.g.,**
-  - Get mean, median for each data set.
-  - State how each is skewed.
-|value | 1  | 2  | 3  | 4  | 5  | 6  | 7  | 8  |
-|freq  | 4  | 6  | 4  | 4  | 3  | 2  | 1  | 1  |
-|value | 1  | 4  | 6  | 8  | 9  | 10  | 11  | 12  |
-|freq  | 1  | 1  | 2  | 3  | 4  | 4   | 5  | 5   |
-<code>
-{1, 1, 1, 2, 2, 2, 2, 3, 3, 31, 31, 32, 32, 32, 32, 33, 33, 33}
-</code>
-<code>
-{1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 31, 31, 32, 32, 32, 32, 33, 33, 33}
-</code>
-<code>
-{1, 1, 1, 2, 2, 2, 2, 2, 3, 31, 31, 31, 32, 32, 32, 32, 33, 33, 33}
-</code>
-===== mode =====
-modality
-bimodal
-trimodal
-multimodal
-unimodal
-It works for __both number measured and category measured data__.