Question 4

Bimodal

The data set is best described as bimodal because it contains two modes, which are the values that appear most frequently. In this case, both the numbers 2 and 8 appear four times each, indicating the presence of two modes.

A) Uniform

A uniform distribution would imply that all values in the data set occur with the same frequency. However, in this data set, the frequencies vary, with some numbers appearing more often than others, making this option incorrect.

B) Bimodal

This option is correct as the data set exhibits two distinct modes, specifically the numbers 2 and 8, which each appear four times. This clear presence of two modes distinctly classifies the distribution as bimodal.

C) Right-skewed

A right-skewed distribution would suggest that most data points are concentrated on the left side with some trailing off to the right. In this case, the modes at 2 and 8 demonstrate that the data is not skewed in that manner, rendering this option incorrect.

D) Left-skewed

A left-skewed distribution indicates that most values are concentrated on the right side with a tail extending to the left. Since this data set does not exhibit this pattern and instead has two modes, this option is also incorrect.

Conclusion

The classification of the data set as bimodal is supported by the presence of two values that occur with the highest frequency. All other options fail to accurately describe the distribution, as they suggest a single mode or a skewed distribution, which does not apply to this data set. Thus, "bimodal" is the definitive and correct characterization.