Choose the group of numbers of which 6 is the average.
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Choose the group of numbers of which 6 is the average.
To solve this problem, we will apply the formula for the average. We will proceed by evaluating each choice to identify which group has an average of 6.
The average for a group of numbers is calculated as:
Now, let's calculate and analyze:
Choice 1:
Calculate the sum:
Number of values: 3
Average:
Choice 2:
Calculate the sum:
Number of values: 3
Average:
Choice 3:
Calculate the sum:
Number of values: 3
Average:
Choice 4:
Calculate the sum:
Number of values: 3
Average:
Thus, the group of numbers with an average of 6 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?
No! Numbers can vary widely and still average to 6. For example, 2, 4, and 12 average to even though 12 is much larger than 6.
That's normal! If your calculation gives a decimal like 2.5, that's the actual average. Only whole number averages will match our target of 6 in this problem.
You can use logic: if you need average 6 with 3 numbers, the sum must be . Look for the group that adds to 18!
Never! The average must always fall between the smallest and largest values in your group. If all numbers are less than 6, the average cannot be 6.
In multiple choice questions, only one answer should be correct. Double-check your arithmetic if you think you found two correct answers!
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