Question
3 What is the range and the mode for this set of data? \( 35,44,42,35,44,48,27,44,49,34 \) range
Ask by Floyd Haynes. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The range is 22 and the mode is 44.
Solution
To find the range and mode for the given set of data, we need to follow these steps:
1. Arrange the data in ascending order.
2. Find the range by subtracting the smallest value from the largest value.
3. Find the mode by identifying the value that appears most frequently in the data.
Let's start by arranging the data in ascending order:
\( 27, 34, 35, 35, 42, 44, 44, 44, 48, 49 \)
Now, let's find the range:
Range = Maximum value - Minimum value
Range = 49 - 27
Range = 22
Next, let's find the mode:
The value 44 appears most frequently in the data, so the mode is 44.
Therefore, the range is 22 and the mode is 44.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
The range of a data set is calculated by subtracting the smallest number from the largest number. In your set, the largest number is 49, and the smallest is 27. Thus, the range is \( 49 - 27 = 22 \). For the mode, you look for the number that appears most frequently. In this set, the number 44 appears three times, more than any other number, making 44 the mode. So, your range is 22, and the mode is 44!
