Statistics
Madhya Pradesh Board · Class 10 · Mathematics
Quick revision notes for Statistics — Madhya Pradesh Board Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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1. Mean of Grouped Data
- Mean is the sum of all observations divided by the total number of observations.
- For grouped data, class marks are used as representative values of class intervals.
- Class mark is the average of the upper and lower class limits.
2. Mode of Grouped Data
- Mode is the value that occurs most often.
- For grouped data, the modal class is the class with the maximum frequency.
- Grouped data may be multimodal, but standard exercises use a single mode.
3. Median of Grouped Data
- Median is the middle-most observation in the ordered data.
- For ungrouped data, if n is odd, median is the ((n+1)/2)th observation.
- For ungrouped data, if n is even, median is the average of the (n/2)th and ((n/2)+1)th observations.
4. Choice of Measure and Comparison
- Mean is the most frequently used measure of central tendency.
- Mean uses all observations and lies between the smallest and largest values.
- Mean is affected by extreme values.
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