Which of the following data sets has the smallest range?
{148, 145, 117, 148, 199, 172}
{324, 318, 367, 312, 389, 337}
{50, 30, 10, 0, 80, 100}
{37, 19, 40, 54, 75, 68}
{37, 19, 40, 54, 75, 68} has the smallest range. The range is the difference between the largest and smallest values in the data set. For this data set, the largest value is 75 and the smallest value is 19, so the range is 75 - 19 = 56.
For the other data sets:
{148, 145, 117, 148, 199, 172} has a range of 199 - 117 = 82.
{324, 318, 367, 312, 389, 337} has a range of 389 - 312 = 77.
{50, 30, 10, 0, 80, 100} has a range of 100 - 0 = 100.
To find the data set with the smallest range, we need to calculate the difference between the maximum and minimum values for each data set.
The range for each data set is as follows:
{148, 145, 117, 148, 199, 172} -> Maximum: 199, Minimum: 117, Range: 199 - 117 = 82
{324, 318, 367, 312, 389, 337} -> Maximum: 389, Minimum: 312, Range: 389 - 312 = 77
{50, 30, 10, 0, 80, 100} -> Maximum: 100, Minimum: 0, Range: 100 - 0 = 100
{37, 19, 40, 54, 75, 68} -> Maximum: 75, Minimum: 19, Range: 75 - 19 = 56
Therefore, the data set with the smallest range is {324, 318, 367, 312, 389, 337}.