Class 11 Statistics: Measure of Central Tendency
Chapter 3: Measure of Central Tendency — learn what an average really measures and master the arithmetic mean, median, mode, geometric mean and their combined forms. GSEB Class 11 Statistics notes covering 7 topics: Meaning and Importance, Arithmetic Mean, Combined and Weighted Mean, Geometric Mean, Median Quartiles Deciles and Percentiles, Mode, and Comparative Study of Mean Median and Mode.
Topics(7)
Meaning and Importance
Meaning and Importance — learn what central tendency means, the three functions of an average, and the six characteristics of an ideal average. GSEB Class 11 Statistics notes with definitions, examples and quick-recall points.
Arithmetic Mean
Arithmetic Mean — master the direct, short-cut and step-deviation methods for raw and grouped data, with mid-values and open-end traps. GSEB Class 11 Statistics notes with formulas, solved sums and a practice lab.
Combined and Weighted Mean
Combined and Weighted Mean — merge group averages with the combined mean and weight unequal observations correctly with the weighted mean. GSEB Class 11 Statistics notes with formulas, reverse problems and solved sums.
Geometric Mean
Geometric Mean — find the true average growth rate of prices, population and investments where the arithmetic mean misleads. GSEB Class 11 Statistics notes with the compounding comparison, root tricks and solved sums.
Median, Quartiles, Deciles and Percentiles
Median, Quartiles, Deciles and Percentiles — split ordered data into halves, quarters, tenths and hundredths with positional formulas and interpolation. GSEB Class 11 Statistics notes with cf tables, solved sums and a median-class lab.
Mode
Mode — find the most frequent value by inspection, by formula and by histogram diagonals, plus the empirical fallback. GSEB Class 11 Statistics notes with solved sums, the formula anatomy and a construction lab.
Comparative Study of Mean, Median and Mode
Comparative Study of Mean, Median and Mode — choose the right average for the data, apply change-of-origin-and-scale rules, and use the empirical relation. GSEB Class 11 Statistics notes with a comparison table and solved sums.