1. 1
   A basketball player's points scored in her last 9 games were: 1, 1, 2, 4, 6, 7, 8, 8, 8.

   (a)

   What is the mode of the basketball player's points scored?

   [1 mark]

   • A5
   • B6
   • C8
   • D9

   (b)

   What is the median number of points scored?

   [1 mark]

   • A4
   • B6
   • C7
   • D8

   (c)

   What is the mean number of points scored, correct to 1 decimal place where needed?

   [1 mark]

   • A4
   • B5
   • C6
   • D7

   Total for question 1: 3 marks

2. 2
   In a survey, 20 students were asked how many books they read last month. The results are shown in the frequency table below: Number of books: 0 (frequency 3), 1 (frequency 7), 2 (frequency 6), 3 (frequency 3), 4 (frequency 1).

   (a)

   Calculate the mean number of books read per student last month.

   [2 marks]

   (b)

   Find the range of the number of books read, and find the median number of books read. Show how you worked out the median from the table.

   [2 marks]

   Total for question 2: 4 marks

3. 3
   Two classes, 8X and 8Y, sat the same test out of 50. The marks for class 8X were: 22, 28, 30, 35, 38, 40, 42, 45. Class 8Y had a mean mark of 36 and a range of 30.

   (a)

   Calculate the mean mark and the range for class 8X, showing your working.

   [3 marks]

   (b)

   By comparing the mean and range of class 8X with class 8Y, determine which class performed better on average and which class's marks were more consistent. Justify your answer using both measures.

   [3 marks]

   Total for question 3: 6 marks

4. 4
   A gym manager records the length of time (in minutes) that 25 members spent exercising in one session, grouped into classes: 0 < t <= 20 (frequency 4), 20 < t <= 40 (frequency 7), 40 < t <= 60 (frequency 9), 60 < t <= 80 (frequency 4), 80 < t <= 100 (frequency 1).

   (a)

   Calculate an estimate of the mean exercise time for the 25 members, using the midpoint of each class.

   [4 marks]

   (b)

   State the modal class, and explain why a manager who wants to know the 'typical' exercise time might prefer to use the estimated mean rather than the modal class.

   [4 marks]

   (c)

   One member who exercised for 150 minutes was mistakenly excluded from the original data. Including this member's time (making 26 members in total), calculate the new estimated mean exercise time, and explain the effect that this outlier has had on the mean compared to the original estimate of 42.8 minutes.

   [5 marks]

   Total for question 4: 13 marks

End of questions