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Grade 5 (age 10-11)

Average & Likelihood

Average & Likelihood

An average evens out several values into one number for them all. Add the values and divide by the count; the mean times the count gives the total. With uneven data like heights or scores, one average makes comparing easier. Drag the sliders and watch the bars level as the average line moves.

What is an average?
⚖️ Average = sharing equally!
①When 5 people have different counts of candy
②If shared equally, how many per person?
③That is the average!
8
4
6
10
7
Average = Sharing equally
💡 Meaning of the Average
①Move from higher to lower
②Everyone reaches the same height
③That height is the average!
Summary
Finding the Average
Average = SumCount
Add all values and divide by the count
Finding the Sum
Sum = Average × Count
If you know the average, you can find the sum
🎯 Key Points
①Average = sum ÷ count
②The average is a representative value
③Larger and smaller values are mixed around it
④Equal averages can have different distributions
⑤Likelihood: certain, even, impossible (in words)
Examples and Unit Test
Example 1
Five students have 8, 6, 10, 9, 7 books. What is the average?
1
Average = sum ÷ count. First find the sum: 8+6+10+9+7 = 40.
2
The count is 5, so 40 ÷ 5 = 8 books.
▸ 8 books
The average is the value when the data is shared evenly (a representative value).
Example 2
A data set has an average of 6 and 4 values. What is the sum?
1
Sum = average × count.
2
6 × 4 = 24, so the sum is 24.
▸ 24
If you know the average, sum = average × count.
Unit Test
What is the average of 5, 6, 8, 9, 7?
①6
②7
③8
④35
▸ ② 7
1
Find the sum: 5+6+8+9+7 = 35.
2
35 ÷ 5 = 7, so the average is 7.
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Data Representation