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Maths · Grade 6 · Set C
Median and Mean: Set C
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C
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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 in bigger sets

1
Each dot is one kid. What is the median number of pets?
2
The table shows how many kids have each number of pets. There are 15 kids. What is the median number of pets?
3
Number the steps to find the median of 8, 2, 11, 5, 9 and 4.
  • Write the median, 6.5
  • Find the two middle numbers, 5 and 8
  • Put them in order: 2, 4, 5, 8, 9, 11
  • Find halfway between them: add and halve
4
Circle every set of numbers whose median is 5.
2, 5, 95, 6, 71, 3, 5, 7, 94, 5, 5, 81, 2, 7, 9

The mean: the fair share

5
What is the mean of this data? It is not a whole number.
6
The mean of five numbers is 8. Four of them are shown. What is the fifth?
7
Which set of numbers has a mean of 6?
5, 6, 83, 5, 72, 6, 104, 7, 8
8
Four towers have 3, 9, 5 and 7 blocks. They are shared so every tower is the same height. How tall is each tower?
9
Sensei ran 5 laps. The table shows his time for each lap in seconds. What is the mean time?

Stretch

10
The data 3, 4, 5, 6 and 7 has a mean of 5 and a median of 5. Add the number 50. The mean goes up much more than the median does.
TrueFalse
11
Look at the two sets. Which sentence is true?
Set X has the bigger median and the bigger meanSet X has the bigger median, but Set Y has the bigger meanSet Y has the bigger median, but Set X has the bigger meanSet Y has the bigger median and the bigger mean
12
Mia's mean score on 5 quizzes is 82. Four scores are shown. Write how you find the fifth score, and what it is.
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Answer key · Set C
Median and Mean: Set C
17 There are 11 dots. The middle one, the 6th from the left, is at 7.
22 The 8th of 15 kids is in the middle. 2 kids have 0 pets and 5 have 1, which is 7 kids. The 8th kid has 2 pets.
34, 2, 1, 3 With two middle numbers, the median is halfway between them: (5 + 8) ÷ 2 = 6.5.
42, 5, 9, 1, 3, 5, 7, 9, 4, 5, 5, 8 The middle of 2, 5, 9 is 5. The middle of 1, 3, 5, 7, 9 is 5. The two middle numbers of 4, 5, 5, 8 are 5 and 5. 5, 6, 7 has median 6, and 1, 2, 7, 9 has median 4.5.
55.5 2 + 4 + 7 + 9 = 22, and 22 ÷ 4 = 5.5.
68 A mean of 8 on 5 numbers means 5 × 8 = 40 in all. The four shown add to 32, so the fifth is 8.
72, 6, 10 2 + 6 + 10 = 18, and 18 ÷ 3 = 6. The others have means of 6 1/3, 5 and 6 1/3.
86 3 + 9 + 5 + 7 = 24 blocks. Shared among 4 towers, that is 6 each.
950 52 + 48 + 55 + 50 + 45 = 250, and 250 ÷ 5 = 50.
10True The new mean is 75 ÷ 6 = 12.5, but the new median is only 5.5. One very big number pulls the mean up.
11Set X has the bigger median, but Set Y has the bigger mean Set X: median 5, mean 20 ÷ 5 = 4. Set Y: median 4, mean 25 ÷ 5 = 5. X has the bigger median and Y the bigger mean.
12Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.