To find the dataset with the smallest range, we first need to calculate the range for each dataset. The range is determined by subtracting the minimum value from the maximum value.
A) { 50, 30, 10, 0, 80, 100 }
- Maximum = 100
- Minimum = 0
- Range = 100 - 0 = 100
B) { 37, 19, 40, 54, 75, 68 }
- Maximum = 75
- Minimum = 19
- Range = 75 - 19 = 56
C) { 324, 318, 367, 312, 389, 337 }
- Maximum = 389
- Minimum = 312
- Range = 389 - 312 = 77
D) { 148, 145, 117, 148, 199, 172 }
- Maximum = 199
- Minimum = 117
- Range = 199 - 117 = 82
Now, comparing the ranges:
- A) 100
- B) 56
- C) 77
- D) 82
The dataset with the smallest range is B) { 37, 19, 40, 54, 75, 68 }, with a range of 56.