9709 P61 - Nov 2010 - Q4
2407
The weights in grams of a number of stones, measured correct to the nearest gram, are represented in the following table.
| Weight (grams) | 1–10 | 11–20 | 21–25 | 26–30 | 31–50 | 51–70 |
|---|---|---|---|---|---|---|
| Frequency | 2x | 4x | 3x | 5x | 4x | x |
A histogram is drawn with a scale of 1 cm to 1 unit on the vertical axis, which represents frequency density. The 1–10 rectangle has height 3 cm.
(i) Calculate the value of \( x \) and the height of the 51–70 rectangle.
(ii) Calculate an estimate of the mean weight of the stones.
Solutions locked. Please sign in with access to view them.