1. 1
   The number of goals scored by a hockey team in 9 matches were: 2, 3, 1, 4, 2, 5, 3, 2, 4.

   (a)

   Find the mode of this data.

   [1 mark]

   • A2
   • B3
   • C4
   • D5

   (b)

   Find the median number of goals scored.

   [1 mark]

   • A2
   • B3
   • C4
   • D2.5

   (c)

   Find the range of the number of goals scored.

   [1 mark]

   • A3
   • B5
   • C4
   • D1

   Total for question 1: 3 marks

2. 2
   A survey recorded the number of pets owned by 20 households: 0 pets - 5 households, 1 pet - 8 households, 2 pets - 4 households, 3 pets - 3 households.

   (a)

   Find the mode of the number of pets owned.

   [2 marks]

   (b)

   Find the median number of pets owned.

   [2 marks]

   Total for question 2: 4 marks

3. 3
   Data on the number of children per family was recorded for 30 families: 1 child - 6 families, 2 children - 12 families, 3 children - 9 families, 4 children - 3 families.

   (a)

   Calculate the mean number of children per family.

   [3 marks]

   (b)

   It is discovered that one family recorded as having 4 children actually has 8 children. Calculate the corrected mean number of children per family, correct to 2 decimal places.

   [3 marks]

   Total for question 3: 6 marks

4. 4
   The times, in minutes, taken by 40 runners to complete a fun run were recorded in groups: 20 <= t < 30 - 6 runners, 30 <= t < 40 - 15 runners, 40 <= t < 50 - 11 runners, 50 <= t < 60 - 8 runners.

   (a)

   Calculate an estimate of the mean time, using the midpoint of each class.

   [4 marks]

   (b)

   State the modal class, and state the class in which the median lies, justifying your answer using cumulative frequencies.

   [4 marks]

   (c)

   A further 10 runners join the fun run, all completing it in the range 40 <= t < 50 minutes. Using the midpoint 45 minutes for these runners, calculate the new estimate of the mean time for all 50 runners, correct to 1 decimal place.

   [5 marks]

   Total for question 4: 13 marks

End of questions