(a) In a survey, 50 students were asked how long they spent exercising during one particular week. The results are summarised in the table. Time (t minutes) | Frequency ---|--- 0 ≤ t < 30 | 10 30 < t < 60 | 15 60 < t < 90 | 11 90 ≤ t < 120 | 7 120 < t < 150 | 5 150 < t < 180 | 2
- (a)(i)Calculate an estimate of the mean time each student spent exercising that week.[3]
- (a)(ii)During that week, the time Simon spent exercising is shown below. Tuesday 12.37 p.m. until 1.24 p.m. Thursday 8.57 a.m. until 9.42 a.m. Which interval is his time recorded in?[1]
- (b)(i)A gym has four different types of machines. Carol is going to draw a pie chart to show how many times the machines are used in one day. She has started to make a table. Machine | Frequency | Angle of sector ---|---|--- Running | 90 | 120° Rowing | 75 | Cycling | 57 | Weights | | 64° Complete the table.[2]
- (b)(ii)Complete the pie chart. [Figure 3.1][1]
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.
Mark scheme
Marking points from the official mark scheme (May/June 2015). The mark or mark type is shown in brackets.
- [3] M1 for 15×10+45×15+75×11+105×7+135×5+165×2 i.e. 150+675+825+735+675+330 (=3390); B1 for ÷ 50 (independent of M mark); 67.8
- [1] 90 <= t < 120 Or clear equivalent
- [2] B1 for 100 and 76, or for 48; 100 and 76 and 48
- [1] Completed pie chart with at least one sector correctly labelled
Write your answer and get it marked
On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.
Sign up free →