Statistics & Probability · Guided Practice

Interpreting Graphs and Tables

8 questions with answers and video solutions. Try each one before revealing the answer.

1
Two gyms offer membership.
FitZone: a joining fee of £25\displaystyle \pounds 25 plus £20\displaystyle \pounds 20 per month
FlexFit: no joining fee, £28\displaystyle \pounds 28 per month
A customer wants membership for 8\displaystyle 8 months.
Determine which gym is cheaper. Use your working to justify your answer.
Video solution coming soon
2
Two phone tariffs are available.
Tariff X: £15\displaystyle \pounds 15 per month plus 5\displaystyle 5 pence per minute
Tariff Y: £22\displaystyle \pounds 22 per month with unlimited minutes
A customer uses 100\displaystyle 100 minutes each month.
Determine which tariff is cheaper. Use your working to justify your answer.
Video solution coming soon
3
A delivery company charges by weight.
Up to 2\displaystyle 2 kg: £3.95\displaystyle \pounds 3.95
Over 2\displaystyle 2 kg and up to 5\displaystyle 5 kg: £6.40\displaystyle \pounds 6.40
Over 5\displaystyle 5 kg: £6.40\displaystyle \pounds 6.40 plus £1.20\displaystyle \pounds 1.20 for each additional kilogram or part kilogram
Calculate the cost of delivering a parcel weighing 7.5\displaystyle 7.5 kg.
Video solution coming soon
4
A tradesperson charges a call-out fee of £45\displaystyle \pounds 45 plus £32\displaystyle \pounds 32 per hour.
A job takes 3.5\displaystyle 3.5 hours.
Calculate the total charge.
Video solution coming soon
5
2019 P2 Q3
(2, 2)4 Marks

The graph shows how many pounds sterling could be bought for 1 euro during December 2017.

Line graph showing exchange rate of pounds sterling per euro over several days

(a) Daniel changed 250 euros to pounds sterling at 09:00 on 7 December. Calculate how many pounds he received.

Daniel was working in France. He bought a laptop costing 400 euros. He calculated this was equivalent to £334.80.

(b) Use the graph to find the date that Daniel bought the laptop. Use your working to justify your answer.

6
2021 P1 Q8
(1, 2)3 Marks

The bar chart below shows the medals won by four countries in the 2016 Olympic Games.

Stacked bar chart showing gold, silver, and bronze medals for UK, Germany, France, and Italy

(a) Calculate the number of gold medals won by the UK in the 2016 Olympic Games.

(b) Calculate the ratio of gold : silver : bronze medals for France. Give your answer in its simplest form.

7
2021 P2 Q9(d)
2 Marks

In each packet there are seven colours. The table shows the number of each colour present in each packet.

Colouryellowpurplepinkredbluegreenorange
Number7864437

The packets must be filled as shown in the table. There are 27 500 of each colour in stock.

(d) Calculate how many packets can be filled.

8
2022 P2 Q5(a)
1 Mark

An international athletics event was held in Doha, Qatar.
In athletics, competitors in the heptathlon must compete in seven different events.
The competitor is awarded points depending on how well they perform in each event.
The table shows the number of points awarded for different levels of performance in each of the events.

Points scoredEvent
100 m Hurdles (sec)High jump (m)Shot put (m)200 m run (sec)Long jump (m)Javelin throw (m)800 m run (min sec)
98013.991.8116.7724.016.4256.152 min 9 sec
100013.851.8217.0723.806.4857.182 min 8 sec
102013.711.8317.3723.596.5458.252 min 6 sec
104013.571.8517.6623.396.6059.252 min 5 sec
106013.431.8617.9523.196.6660.302 min 4 sec
108013.301.8818.2522.996.7261.302 min 2 sec
110013.161.8918.5422.796.7862.302 min 1 sec
112013.031.9118.8422.596.8463.352 min 0 sec
114012.901.9219.1422.406.9064.391 min 59 sec
116012.761.9519.4322.206.9665.401 min 57 sec
118012.631.9619.7222.017.0266.401 min 56 sec
120012.511.9720.0221.827.0867.451 min 55 sec

One of the competitors achieved a height of 1.95 metres in the high jump.

(a) Use the table to state how many points they scored for the high jump.