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Maths · Grade 6 · Set B
Mean, Median or Neither?
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Remember: Look at the dots first. A far dot pulls the mean, so use the median. Balanced dots let you use the mean.

Mean or median?

1
The mean is a good measure of the typical value here.
TrueFalse
2
Compare the mean of this data with its median.
The mean is lowerAbout the sameThe mean is higher
3
Why is the mean a poor choice for a typical value here?
There are too many dotsOne far dot pulls itThe mean is never a good pick
4
The mean and the median are about the same here.
TrueFalse
5
What is the median of this data? There are 10 dots, so find the number halfway between the middle two. Answer:

Spread and balance

6
The top plot is Team A and the bottom plot is Team B. Which team should use the median?
Team ATeam B
7
Which number shows the spread of the typical kids in this data?
The rangeThe IQR
8
This data is balanced, so the mean is a good pick. What is the mean? Answer:
9
The three dot plots are A on top, B in the middle and C at the bottom. Which one is a good place to use the mean?
ABC
10
Join each number to what it tells.
  1. 1mean
  2. 2median
  3. 3range
  4. 4IQR
  • Athe balance point of the dots
  • Bthe biggest minus the smallest
  • Cthe spread of the middle half
  • Dthe middle dot

Stretch

11
The data is 2, 3, 3, 4 and 18. Take away the far dot. What is the mean of the four dots left? Answer:
12
The data is 2, 3, 3, 4 and 18. The mean is 6 and the median is 3. Which tells the story of a typical value better?
The median, 3The mean, 6
13
Write how you know when to use the median instead of the mean.
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