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Maths · Grade 6 · Set C
Choosing With Care
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C
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Goal: 15 min
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Remember: Check for a far dot before you choose. A far dot pulls the mean but barely moves the median.

Read the dots

1
Circle every statement that is true about this data.
The mean is 8The median is 8One dot is far from the restThe median is 9
2
There are 8 dots. What is the median? Find the number halfway between the middle two. Answer:
3
What is the mean of this data? The dots add to 58. Answer:
4
Seven of the eight dots are 7 or less. Which number tells the story of a typical value better?
The median, 5.5The mean, 7.25
5
Taking the far dot away moves the mean more than it moves the median.
TrueFalse

What a far dot does

6
The top plot is the data. The bottom plot is the same data after one far dot joins. Which number does NOT change?
The meanThe rangeThe median
7
After the far dot joins, there are 10 dots that add to 74. What is the new mean? Answer:
8
Circle every plot where the median is the better pick.
Plot APlot BPlot C
9
Both classes have a mean of 6. The top plot is Class A and the bottom plot is Class B. Which class has dots that are more spread out?
Both the sameClass AClass B
10
Join each situation to the best number to report.
  1. 1Most homes cost about the same, but one is a castle
  2. 2Quiz scores bunched evenly around 80
  3. 3How spread out the middle half of the data is
  • Athe mean
  • Bthe median
  • Cthe IQR

Stretch

11
Five friends read for 6, 7, 7, 8 and 22 minutes. The mean is 10 and the median is 7. Which number tells how long a typical friend reads?
The mean, 10 minutesThe median, 7 minutes
12
Make up a set of 6 numbers where the median is a better pick than the mean. Write why.
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