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Maths · Grade 6 · Set A
The Middle of the Data
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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 stickers? Answer:
2
Five kids counted their stickers. The numbers are not in order. What is the median? Put them in order first. Answer:
3
There are two middle numbers here. The median is halfway between them. What is the median? Answer:
4
The median of 9, 2, 7, 4, 5 is 7.
TrueFalse
5
Number the steps to find the median.
  • The number left in the middle is the median
  • Cross off one from each end, again and again
  • Put the numbers in order, smallest to biggest

The mean: the fair share

6
Three plates hold cookies as shown. Share them out so every plate has the same number. How many cookies on each plate? Answer:
7
The mean is the fair share. What is the mean of this data? Answer:
8
Plates have 2, 6 and 4 cookies. Which picture shows the plates after the cookies are shared fairly?
A
B
C
9
These four numbers have a mean that is not a whole number. What is the mean? Answer:
10
Join each word to what it means.
  1. 1median
  2. 2mean
  3. 3data
  • Athe numbers we collect
  • Bthe middle number, in order
  • Cthe fair share of the data

Stretch

11
Zoe's mean score on 4 quizzes is 80. Her first three scores are shown. What was her fourth score? Answer:
12
In this data, is the mean or the median bigger? Write how you know.
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Answer key · Set A
The Middle of the Data
14 There are 7 dots. The middle one, the 4th from the left, is at 4.
24 In order: 3, 4, 4, 6, 7. The middle one is 4.
37 The two middle numbers are 6 and 8. Halfway between them is 7.
4False The numbers are not in order. In order: 2, 4, 5, 7, 9, so the median is 5.
53, 2, 1
67 5 + 9 + 7 = 21 cookies. Shared among 3 plates, that is 7 each.
74 1 + 2 + 3 + 4 + 10 = 20. Shared among 5, that is 4.
8C 2 + 6 + 4 = 12 cookies. Three plates share them: 12 ÷ 3 = 4 each. Picture A has only 9 cookies and B has 15.
93.5 2 + 3 + 4 + 5 = 14, and 14 ÷ 4 = 3.5.
101-B, 2-C, 3-A The median is about order. The mean is about sharing fairly.
1180 A mean of 80 on 4 quizzes means 4 × 80 = 320 in all. The first three add to 240, so the fourth is 80.
12Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.