0580 P42 - Nov 2012 - Q5 - 12 marks
16262
A farmer records masses of 158 potatoes.
| Mass m (g) | \(0<m\le40\) | \(40<m\le80\) | \(80<m\le120\) | \(120<m\le160\) | \(160<m\le200\) | \(200<m\le240\) |
|---|---|---|---|---|---|---|
| Frequency | 6 | 10 | 28 | 76 | 22 | 16 |
(a) Estimate the mean mass, showing working. [4]
| Mass m (g) | \(0<m\le80\) | \(80<m\le200\) | \(200<m\le240\) |
|---|---|---|---|
| Frequency | 16 |
(b(i)) Complete the regrouped frequency table. [2]
(b(ii)) Complete the histogram for the regrouped table. [3]
(c) 15 potatoes have mean mass 136 g. Three more have mean mass 130 g. Find the combined mean. [3]