1. 1
   A sample of 7 students recorded the number of books they read in a month: 2, 5, 3, 5, 8, 4, 5.

   (a)

   What is the mode of the data?

   [1 mark]

   • A5
   • B4
   • C3
   • D8

   (b)

   What is the median of the data?

   [1 mark]

   • A4
   • B5
   • C3
   • D4.5

   (c)

   What is the range of the data?

   [1 mark]

   • A5
   • B8
   • C2
   • D6

   Total for question 1: 3 marks

2. 2
   The mean of five numbers is 12. Four of the numbers are 9, 14, 10 and 15. A sixth number, 18, is then added to the set.

   (a)

   Find the fifth number.

   [2 marks]

   (b)

   Find the new mean after the sixth number is added.

   [2 marks]

   Total for question 2: 4 marks

3. 3
   The times, in minutes, taken by 40 students to complete a puzzle are grouped as follows: 0 < t ≤ 10: 6 students; 10 < t ≤ 20: 15 students; 20 < t ≤ 30: 11 students; 30 < t ≤ 40: 8 students.

   (a)

   Calculate an estimate of the mean time, in minutes.

   [3 marks]

   (b)

   State the modal class and the class that contains the median, justifying your answers.

   [3 marks]

   Total for question 3: 6 marks

4. 4
   Two football teams recorded the number of goals scored in their last 6 matches. Team A: 1, 2, 1, 3, 2, 3. Team B: 0, 0, 5, 1, 4, 2.

   (a)

   Find the mean and the range of the number of goals scored by Team A.

   [4 marks]

   (b)

   Find the mean and the range of the number of goals scored by Team B.

   [4 marks]

   (c)

   Using your answers to parts (a) and (b), compare the performance of the two teams and state which team was more consistent. Justify your answer.

   [5 marks]

   Total for question 4: 13 marks

End of questions