Statistics — Revision Notes
ICSE · Class 11 · Mathematics
Statistics revision notes for ICSE Class 11 Mathematics: 4 topics in quick points. Part of the ICSE Class 11 Mathematics syllabus.
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Key Topics to Revise
1. Types of Data and Frequency Distributions
- Ungrouped data is data that has not been organised into groups.
- Grouped data is data that has been organised into groups.
- Discrete frequency distribution lists distinct values with their frequencies.
2. Measures of Central Tendency
- A measure of central tendency is a single value that describes the characteristic of the entire data.
- The main measures are arithmetic mean, median, and mode.
- Arithmetic mean is the most commonly used representative value.
3. Measures of Dispersion
- Measure of dispersion tells how scattered the data are around a central value.
- The main measures are range, mean deviation, and standard deviation.
- Range is the simplest measure of dispersion.
4. Properties of Variance and Standard Deviation
- The sum of deviations of observations from their arithmetic mean is always zero.
- The sum of squares of deviations about the arithmetic mean is minimum compared with any other value.
- Variance is independent of the choice of assumed mean a.
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