Measures Of Central Tendency
NIOS · Class 10 · Maths
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1. Core Ideas and Definitions
- Measures of central tendency describe the centre of a dataset.
- The three common measures are mean, median, and mode.
- Mean is used most often in numerical calculations.
2. Mean of Raw Data and Ungrouped Data
- Mean of raw data is the sum of observations divided by their count.
- For ungrouped frequency distribution, multiply each observation by its frequency.
- Then divide the sum of fi xi by N, where N is the total frequency.
3. Mean of Grouped Data
- Grouped data uses class intervals instead of separate values.
- Class mark is the midpoint of a class interval.
- The class mark is treated as the representative value for that class.
4. Median in Detail
- Median is the middle observation after arranging data.
- For odd n, the median is the ((n+1)/2)th observation.
- For even n, the median is the mean of the n/2th and (n/2 + 1)th observations.
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