Step-by-step explanation:
The statements that best describe the data are:
- The data is concentrated around 6.
- The range is 6.
Step-by-step explanation:
- The fact that the numbers 6 appear multiple times suggests that 6 is a mode of the data set, and that the data is concentrated around this value.
- There is no indication that 8 is an outlier, as it is not significantly farther from the other values than they are from each other.
- There is no indication that 1 is an outlier, as it is not significantly farther from the other values than they are from each other.
- The mean of the data set is (1+6+6+6+8)/5 = 5.4, which is not equal to 4.5.
- The range of the data set is the difference between the largest and smallest values: 8 - 1 = 7. However, this is not an accurate description of how spread out the data is, as most of the values are clustered around 6 and the range is being dominated by 8 which is not significantly far from 6s. A better measure of spread in this case would be the interquartile range or standard deviation.