- Amedian
- Bmean
- Cmode
- Drange
Step-by-Step Solution
The two ogives meet at a point whose -coordinate equals the median of the data.
Answer: A) median
The -coordinate of the point where the 'less than' and 'more than' ogives intersect gives the ____.
Class 10StatisticsStatistics and Probability
Key idea: Ogives — the cumulative frequency curve
**Less-than ogive**: plot points (upper limit of class, cf) for each class. Connect with smooth curve.
**More-than ogive**: plot points (lower limit of class, more-than-cf). Connect smoothly.
**Median from ogives**:
- Method A: From the less-than ogive, find where cf = . Drop perpendicular to -axis. The -coordinate is the median.
- Method B: Plot BOTH ogives on the same axes. Their intersection's -coordinate is the median.
**Empirical relationship** (rough): Mode ≈ 3 × Median − 2 × Mean. Useful sanity check, not rigorously true but often close.
**Frequency polygon vs ogive**: Polygon plots (class mark, frequency); Ogive plots (limit, cumulative frequency).
**More-than ogive**: plot points (lower limit of class, more-than-cf). Connect smoothly.
**Median from ogives**:
- Method A: From the less-than ogive, find where cf = . Drop perpendicular to -axis. The -coordinate is the median.
- Method B: Plot BOTH ogives on the same axes. Their intersection's -coordinate is the median.
**Empirical relationship** (rough): Mode ≈ 3 × Median − 2 × Mean. Useful sanity check, not rigorously true but often close.
**Frequency polygon vs ogive**: Polygon plots (class mark, frequency); Ogive plots (limit, cumulative frequency).
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