Choose the group of numbers of which 4 is the average.
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Choose the group of numbers of which 4 is the average.
To solve this problem, we'll follow these steps:
Let's apply these steps to each choice:
Choice 1:
Choice 2:
Choice 3:
Choice 4:
Upon examining these calculations, the group (Choice 2) has an average of 4, which satisfies the condition given in the problem.
Therefore, the solution to the problem is .
If the balls below are divided so that each column in the table contains an equal number, then how many balls will there be in each column?
The average isn't determined by just one number in the group! You need , not 4.
Use this shortcut: Sum should equal mean × count. For mean = 4 with 3 numbers, sum must equal 12. Only (6,3,3) gives 6+3+3=12!
That's normal! Averages can be decimals. For example, is a valid average, just not the one we want here.
Yes! Notice that (6,3,3) has two 3's and (2,2) has two 2's. Repeated values are completely fine when calculating averages.
Yes! If you want mean = 4, think of numbers that balance around 4. Like 6 is 2 above 4, so you need 2 numbers that are 1 below 4 each (that's why 6,3,3 works).
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