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Averages and range from a list
Select the skills to practice, and then click Go!
Foundational skills
Order a list of numbers
\[ \text{Example: } 7, 3, 5 \rightarrow 3, 5, 7 \]
Put a list of numbers in order from smallest to largest.
Mean
Mean from a list of data
\[ \text{Example: } 4, 6, 8 \rightarrow \text{Mean} = 6 \]
Calculate the mean average of a list of numbers.
Find a missing number given the mean
\[ \text{Mean of } 4, 8, x \text{ is } 6 \rightarrow x = 6 \]
Work out a missing number when you know the mean.
Median
Median from an odd count (ordered)
\[ 3, 5, \mathbf{7}, 8, 9 \]
Find the middle value from an ordered odd-sized list.
Median from an odd count (unordered)
\[ 8, 3, 5 \rightarrow 3, \mathbf{5}, 8 \]
Order the list then find the middle value.
Median from even count (ordered, integer)
\[ 3, \mathbf{5, 7}, 9 \rightarrow 6 \]
Find the median from an ordered even list (integer answer).
Median from even count (ordered, .5 answer)
\[ 3, \mathbf{5, 6}, 9 \rightarrow 5.5 \]
Find the median from an ordered even list (.5 answer).
Median from even count (unordered, integer)
\[ 7, 3, 9, 5 \rightarrow 6 \]
Find the median from an unordered even list (integer answer).
Median from even count (unordered, .5 answer)
\[ 6, 3, 9, 5 \rightarrow 5.5 \]
Find the median from an unordered even list (.5 answer).
Mode
One mode
\[ 5, 8, 3, 5, 9, 5 \]
Find the most common value in a list.
Bimodal
\[ 7, 3, 7, 5, 3, 9 \]
Find the two most common values.
No mode
\[ 3, 7, 2, 9, 5 \]
Recognise when all values appear once.
Range
Range from a list
\[ 3, 5, 11 \rightarrow 11 – 3 = 8 \]
Calculate Range = Largest – Smallest.
Challenge
Find 3 numbers given mean and range
\[ \text{Mean } 6, \text{Range } 4 \dots \]
Find 3 numbers given Mean, Range, and one value.
Find 3 numbers: mean, median, range
\[ \text{Mean, Median, Range known} \]
Find 3 numbers given Mean, Median, and Range.
Find 4 numbers: all stats
\[ \text{Mean, Median, Mode, Range} \]
Find 4 numbers given all statistics.
Find 5 numbers: all stats
\[ \text{Mean, Median, Mode, Range} \]
Find 5 numbers given all statistics.
Timer (Optional)
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Question