2 (a) The table shows the number of exercise classes attended in one week by each of 80 members of a gym. | Number of classes | 0 | 1 | 2 | 3 | 4 | 5 | | :---------------- | :-- | :-- | :-- | :-- | :-- | :- | | Frequency | 10 | 29 | 26 | 10 | 3 | 2 | (i) Find the mode. (ii) Find the median. (iii) A pie chart is drawn to show this information. Calculate the angle representing 5 classes attended. (b) Some members of the gym were surveyed about how much time they spent at the gym. The histogram shows the times, t minutes, they spent on their last visit. [Figure histogram of time (minutes) vs frequency density] (i) Thirty members spent between 30 and 60 minutes at the gym. Calculate the number of members surveyed. (ii) Rohit says: One tenth of these members spent longer than 1 1/2 hours at the gym on their last visit. Is he correct? Justify your answer.
- (a)(i)Find the mode.[1]
- (a)(ii)Find the median.[1]
- (a)(iii)A pie chart is drawn to show this information. Calculate the angle representing 5 classes attended.[2]
- (b)(i)Thirty members spent between 30 and 60 minutes at the gym. Calculate the number of members surveyed.[3]
- (b)(ii)Rohit says: One tenth of these members spent longer than 1 1/2 hours at the gym on their last visit. Is he correct? Justify your answer.[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.
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2021). The mark or mark type is shown in brackets.
- [1] (a)(i) 1 final answer
- [1] (a)(ii) 2 final answer
- [2] (a)(iii) 9
- [2] M1 for 2/80 [×360] oe or 360/80 [×2] oe
- [3] (b)(i) 150
- [3] M2 for 0.6×30+30+4.4×15+1.6×15+0.4×30 oe or M1 for 2 or more correct products soi
- [2] (b)(ii) FT their 150
- [2] 1/10 is 15 and 12 spend more than 90 minutes, so he is wrong
- [2] B1FT for 12 spend more than 90 minutes or 30×their 0.4 evaluated or for 1/10 is 15 or 1/10 of their150 evaluated
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