Measures of Central Tendency

6 Grade 6 Mathematics questions on Measures of Central Tendency, with worked marking schemes. 6 questions are available on this topic in full.

1. Question 1

   1 mark

   Find the median of: 7, 3, 9, 5, 1.

   A. 5

   B. 9

   C. 7

   D. 3

   (1 mark)

   Marking scheme

   A. $5$ — the median is the middle value once ordered: $1,3,5,7,9$. The middle of the unordered list would give $9$, which is why ordering comes first.

2. Question 2

   1 mark

   Find the median of: 4, 8, 6, 10.

   A. 8

   B. 6

   C. 7

   D. 4

   (1 mark)

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3. Question 3

   1 mark

   The mean of 4 numbers is 20. If three of them are 15, 22, and 18, what is the fourth?

   A. 15

   B. 23

   C. 25

   D. 20

   (1 mark)

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4. Question 4

   1 mark

   The marks of 6 students are 56, 72, 64, 80, 48, 60. What is the mean?

   A. 65

   B. 60

   C. 63.3

   D. 72

   (1 mark)

   Marking scheme

   C. $63.3$ — the mean is the total divided by how many: the six marks add to $380$, and $380÷6=63.33\dots$, which is $63.3$ to one decimal place. The mean need not be a whole number.

5. Question 5

   1 mark

   Find the mean of: 12, 18, 15, 20, 10.

   A. 14

   B. 12

   C. 15

   D. 18

   (1 mark)

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6. Question 6

   1 mark

   The mode of 3, 5, 7, 5, 3, 5, 8, 3, 5 is:

   A. 3

   B. 8

   C. 7

   D. 5

   (1 mark)

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