[Table 11.1] 100 students were each asked how long they spent talking on their mobile phone dur The results are summarised in the table. Time (t minutes) | 0<t≤10 | 10<t≤20 | 20<t≤ 40 | 40 < t ≤60 | 60<t≤80 | 80<t≤100 Frequency | 10 | 30 | 12 | 16 | 20 | 12 [Table 11.2] The masses, in grams, of 240 potatoes were found. The cumulative frequency table for these results is shown below. Mass (m grams) | m ≤ 50 | m ≤ 100 | m < 150 | m ≤ 200 | m ≤ 250 | m ≤ 300 | m≤ 350 Cumulative frequency | 0 | 4 | 54 | 132 | 204 | 236 | 240

1. (a)On the axes below, draw a histogram to represent these results.[3]
2. (b)(i)Draw a smooth cumulative frequency curve to illustrate this information.[2]
3. (b)(ii)(a)Find the median.[1]
4. (b)(ii)(b)Find the inter-quartile range.[2]
5. (b)(iii)Complete the frequency table below. Mass (m grams) | 50 < m < 100 | 100 <m≤150 | 150 < m <200 | 200<m<250 | 250<m≤300 | 300<m< 350 Frequency | 4 | | | | |[1]
6. (b)(iv)(a)A potato with a mass greater than 250 grams is classed as extra large. How many of these potatoes are extra large?[1]
7. (b)(iv)(b)Which percentile of the distribution can be used to find this number?[2]

This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.