Revision questions
1A Core skills 1.
(b) Pet No. of people
(i) Draw a pie chart to represent the following sets of data and write the mode of each. (a) Favourite colour
No. of people
Red Blue Green Other 20
10
Cat 8
3 3 7
Dog Hamster Fish Other 14
1 4
(ii) It is not possible to fi nd the median and mean of the data shown in (a) and (b) above. State why this is the case.
2. Draw a stem and leaf plot to represent the following data and calculate the mode, median and mean of each. Give your answer to two decimal places where necessary.
(i) 48, 45, 35, 26, 29, 49, 33, 25 (ii) 5, 3, 9, 4, 10, 15, 13, 21, 22, 26, 19, 32, 35
3. Find the mean, median, mode and range for each set of numbers. Give your answer to two decimal places where appropriate.
(i) 24, 31, 12, 38, 12, 15 (ii) 5, 28, 16, 32, 5, 16, 48, 29, 5, 35
(iii) 72, 43, 15, 66, 32, 72, 52, 19, 28, 81, 55 (iv) 63, 40, 51, 70, 36, 21, 51, 28, 19
4. In a survey of 10 households, the number of children was found to be: 4, 1, 5, 4, 3, 7, 2, 3, 4, 1. (i) Draw a graph to represent the data and justify your reason for picking this type of graph. (ii) State the mode. (iii) Calculate the mean number of children per household. (iv) Calculate the median number of children per household.
(v) The researcher says: ‘The mode seems to be the best average to represent the data in this survey.’ Do you agree or disagree with the researcher’s statement? Give at least one reason to support your answer.
5. A fair six-sided die is rolled six times and each time it lands on a diff erent number. (i) Find: (a) the mean
(b) the median (c) the mode
(d) the range (ii) If the die is rolled once, what is the probability that it lands on a prime number?
6. There are 16 children at a party. Here are their weights in kilograms: 14 · 8, 18 · 5, 15 · 1, 15 · 4, 15 · 8, 17 · 3, 16 · 4, 16 · 7, 16 · 7, 14 · 9, 17 · 0, 17 · 1, 16 · 3, 16 · 9, 17 · 5, 16 · 5 (i) Represent this data using a graph of your choice. Justify your choice. (ii) What is the modal weight? (iii) Find the median weight. (iv) Calculate the mean weight, correct to one decimal place.
(v) Another child arrives at the party. This child weighs 16·6 kg. Describe the eff ect this will have on (a) the median and (b) the mean.
(vi) One child is picked at random from the children now at the party. Work out the probability that this child weighs less than 16 kg.
20
Linking Thinking 2
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