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If the range of a data set is 15 and the smallest value is 5, what is the largest value?
  • a)
    10
  • b)
    15
  • c)
    20
  • d)
    25
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If the range of a data set is 15 and the smallest value is 5, what is ...
Understanding the Range
The range of a data set is a measure of how spread out the values are. It is calculated by subtracting the smallest value from the largest value.
Given Information
- Range: 15
- Smallest Value: 5
Formula for Range
To find the largest value, we can use the formula:
Range = Largest Value - Smallest Value
We rearrange this formula to solve for the largest value:
Largest Value = Range + Smallest Value
Calculating the Largest Value
Now we can substitute the known values into our formula:
- Largest Value = 15 (Range) + 5 (Smallest Value)
This gives us:
- Largest Value = 15 + 5 = 20
Conclusion
Therefore, the largest value in the data set is 20.
The correct answer is option C.
This means that the values in the data set could range from 5 (the smallest) up to 20 (the largest), illustrating a spread of 15 between these two points.
Free Test
Community Answer
If the range of a data set is 15 and the smallest value is 5, what is ...
The range is the difference between the largest and smallest values. So, 5 + 15 = 20.
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If the range of a data set is 15 and the smallest value is 5, what is the largest value?a)10b)15c)20d)25Correct answer is option 'C'. Can you explain this answer?
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