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Grade 5 (age 10-11)

grade 5 Average & Likelihood

Average & Likelihood

An average evens several values into one number that stands for the whole set. Add the values and divide by how many there are; multiply the mean by that count and the total comes back. Heights and test scores jump around, yet one average makes them easier to compare. Drag the day sliders and the bars level out while the average line moves up and down.

What is an average?

⚖️ Average = sharing equally!
①The sliders are Mon–Fri values. The first screen is 8, 4, 6, 10, 7; sum 35, average 7
②Sharing those five values equally gives the average per day
③Likelihood words (certain, likely, even, unlikely, impossible) have no picture here; they appear only in the summary
8
4
6
10
7

Average = Sharing equally

💡 Meaning of the Average
①Move from higher bars to lower ones until all match
②That shared height is the average. The weekday sliders above also drive this picture
③The five likelihood words are certain, likely, even, unlikely, impossible. This page centers on 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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