Find the sum of the range and the mode of the set of numbers 10, 9, 10, 9, 8, 7, 7, 10, 8, 10, 8, 4, 6, 9, 10, 9, 10, 9, 7, 10, 6, 5
16
14
12
10
Explanation
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Range = Highest value - Lowest value
=10-4 = 6
Mode = the number with the highest occurrence
10 is the highest occurring number...it's frequency is 7
therefore the sum of the range and mode is..
6+10= 16
therefore the answer is A.
No, the mode is not the highest number in a set.
The mode is the value that appears most frequently in a dataset. It's the value that occurs most often.
For example, in the set:
10, 10, 10, 10, 10, 9, 9, 9, 8, 7, 7, 4
The mode is 10, because it appears 5 times, more than any other value.
The highest number in this set is also 10, but that's a different concept.
Here are the definitions:
- *Mode*: The value that appears most frequently.
- *Maximum* (or *Max*): The highest value in the set.
- *Minimum* (or *Min*): The lowest value in the set.
To illustrate the difference:
Set: 1, 2, 2, 2, 3, 4, 5
- Mode: 2 (appears 3 times)
- Maximum: 5 (highest value)
- Minimum: 1 (lowest value)
So, while the mode can sometimes be the highest number, they are distinct concepts.
