Estimating a median from cumulative frequency
Estimating a median from cumulative frequency.
- Cumulative frequency is a running total. Plot it at the upper class boundary.
- Read the median at N/2, Q₁ at N/4 and Q₃ at 3N/4.
- The interquartile range is Q₃ − Q₁. Graph readings are estimates.
Example 1
Estimate the median from the graph, to 1 d.
Median position Start halfway up the cumulative-frequency scale. Go across to the graph, then down to .
Example 2
Estimate the median from the graph, to 1 d.
Median position Start halfway up the cumulative-frequency scale. Go across to the graph, then down to .
Your turn
Question 1Straight-line interpolation between class-boundary points.
Estimate the median from the graph, to 1 d.
Check answer
Median position Start halfway up the cumulative-frequency scale. Go across to the graph, then down to .
Question 2Straight-line interpolation between class-boundary points.
Estimate the median from the graph, to 1 d.
Check answer
Median position Start halfway up the cumulative-frequency scale. Go across to the graph, then down to .
Question 3Straight-line interpolation between class-boundary points.
Estimate the median from the graph, to 1 d.
Check answer
Median position Start halfway up the cumulative-frequency scale. Go across to the graph, then down to .
Question 4Straight-line interpolation between class-boundary points.
Estimate the median from the graph, to 1 d.
Check answer
Median position Start halfway up the cumulative-frequency scale. Go across to the graph, then down to .
Question 5Straight-line interpolation between class-boundary points.
Estimate the median from the graph, to 1 d.
Check answer
Median position Start halfway up the cumulative-frequency scale. Go across to the graph, then down to .
Estimate the median from the graph, to 1 d.
Median position Start halfway up the cumulative-frequency scale. Go across to the graph, then down to .
Estimate the median from the graph, to 1 d.
Median position Start halfway up the cumulative-frequency scale. Go across to the graph, then down to .
Estimate the median from the graph, to 1 d.
Median position Start halfway up the cumulative-frequency scale. Go across to the graph, then down to .
Estimate the median from the graph, to 1 d.
Median position Start halfway up the cumulative-frequency scale. Go across to the graph, then down to .
Estimate the median from the graph, to 1 d.
Median position Start halfway up the cumulative-frequency scale. Go across to the graph, then down to .