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Maths · Grade 6 · Set B
Median and Mean: Set B
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B
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Goal: 15 min
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Remember: The median is the middle number once they are in order. The mean is the fair share.

The median: the middle number

1
Each dot is one kid. What is the median number of books read?
2
Five plants were counted. The numbers are not in order. What is the median? Put them in order first.
3
There are two middle numbers here. The median is halfway between them. What is the median?
4
The numbers 3, 5, 6, 10, 12 and 20 are in order. The two middle numbers are 6 and 10, so the median is 8.
TrueFalse
5
Number the steps to find the mean, the fair share.
  • Add up all the numbers
  • Count how many numbers there are
  • Write the mean
  • Share the total equally: divide by the count

The mean: the fair share

6
Four baskets hold apples as shown. Share them out so every basket has the same number. How many apples in each basket?
7
The mean is the fair share. What is the mean of this data?
8
The towers have 2, 7 and 3 blocks. Which picture shows them after the blocks are shared so the towers are the same height?
A
B
C
9
These four numbers have a mean that is not a whole number. What is the mean?
10
Four friends have 3, 5, 6 and 10 stickers. They put them all together and share them equally. Which tells how many each friend gets?
the mean, 6the median, 5.5the range, 7

Stretch

11
Pip's mean score on 4 games is 9. The first three scores are shown. What was the fourth score?
12
In this data, is the mean or the median bigger? Write how you know.
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Answer key · Set B
Median and Mean: Set B
15 There are 9 dots. The middle one, the 5th from the left, is at 5.
26 In order: 3, 3, 6, 8, 9. The middle one is 6.
36.5 The two middle numbers are 6 and 7. Halfway between them is 6.5.
4True Halfway between 6 and 10 is (6 + 10) ÷ 2 = 8.
51, 2, 4, 3 Add, count, then share.
65 3 + 8 + 4 + 5 = 20 apples. Shared among 4 baskets, that is 5 each.
76 3 + 5 + 6 + 6 + 10 = 30. Shared among 5, that is 6.
8B 2 + 7 + 3 = 12 blocks. Three towers share them: 12 ÷ 3 = 4 each. A has only 9 blocks and C has 15.
92.75 1 + 2 + 4 + 4 = 11, and 11 ÷ 4 = 2.75.
10the mean, 6 Sharing equally is the mean: 3 + 5 + 6 + 10 = 24, and 24 ÷ 4 = 6.
1111 A mean of 9 on 4 games means 4 × 9 = 36 in all. The first three add to 25, so the fourth is 11.
12Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.