measuring_central_tendency
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- | ====== 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 ===== | ||
- | < | ||
- | |||
- | < | ||
- | |||
- | |||
- | **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 | | ||
- | |||
- | < | ||
- | {1, 1, 1, 2, 2, 2, 2, 3, 3, 31, 31, 32, 32, 32, 32, 33, 33, 33} | ||
- | </ | ||
- | < | ||
- | {1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 31, 31, 32, 32, 32, 32, 33, 33, 33} | ||
- | </ | ||
- | < | ||
- | {1, 1, 1, 2, 2, 2, 2, 2, 3, 31, 31, 31, 32, 32, 32, 32, 33, 33, 33} | ||
- | </ | ||
- | ===== mode ===== | ||
measuring_central_tendency.1568590165.txt.gz · Last modified: 2019/09/16 08:29 by hkimscil