Measures of Central Tendency
ICSE · Class 10 · Mathematics
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Core Ideas and Definitions
- A numerical value which represents the entire given statistical data is called the measure of central tendency.
- The three measures of central tendency are mean, median and mode.
- Mean is the arithmetic average of the data.
Mean: Methods and Worked Examples
- The mean of n observations is the sum of observations divided by the number of observations.
- Mean can be found by direct method, short-cut method and step-deviation method.
- The direct method is simple and uses Σ f x / Σ f for grouped data.
Median, Quartiles and Graphical Methods
- Median is the middle value in ordered data.
- For odd n, the median is the (n + 1) / 2 th term.
- For even n, the median is the average of the n / 2 th and (n / 2 + 1) th terms.
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