The temperature at midday was recorded at ten different heights on a mountain. The results are shown in the table. Height (m) | 300 | 825 | 600 | 425 | 900 | 100 | 1250 | 1450 | 1125 | 1350 ---|---|---|---|---|---|---|---|---|---|--- Temperature (°C) | 3.0 | -0.8 | 0.0 | 1.2 | -1.9 | 3.5 | -4.6 | -6.4 | -4.0 | -3.8 Complete the scatter diagram. The first five points have been plotted for you.

1. (a)(i)The temperature at midday was recorded at ten different heights on a mountain. The results are shown in the table. Height (m) | 300 | 825 | 600 | 425 | 900 | 100 | 1250 | 1450 | 1125 | 1350 ---|---|---|---|---|---|---|---|---|---|--- Temperature (°C) | 3.0 | -0.8 | 0.0 | 1.2 | -1.9 | 3.5 | -4.6 | -6.4 | -4.0 | -3.8 Complete the scatter diagram. The first five points have been plotted for you.[2]
2. (a)(ii)Describe the type of correlation shown in the scatter diagram.[1]
3. (a)(iii)Draw a line of best fit on the scatter diagram.[1]
4. (a)(iv)Another reading is taken at a height of 1000m. Use your line of best fit to estimate the temperature at this height. °C[1]
5. (b)(i)The table summarises the times taken by 80 adults to climb the mountain. Time taken (h hours) | 5.5 < h ≤ 6.5 | 6.5 < h ≤ 7.5 | 7.5 < h ≤ 8 | 8 < h ≤ 8.5 | 8.5 < h ≤ 10.5 ---|---|---|---|---|--- Frequency | 8 | 15 | 20 | 23 | 14 Calculate an estimate of the mean time. hours[3]
6. (b)(ii)A histogram is drawn to show this information. The height of the bar representing 5.5 < h ≤ 6.5 is 8 mm. Calculate the height of the bar representing 8 < h ≤ 8.5 . mm[1]

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