Which term best describes the data set below: 1, 1, 2, 2, 2, 2, 3, 3, 7, 7, 8, 8, 8, 8, 9, 9?

Rationale

The data set is best described as Bimodal.

A bimodal distribution has two different modes that appear most frequently. In the given data set, the numbers '2' and '8' both appear four times, which makes them the modes of this data set and therefore classifies the distribution as bimodal.

A (Uniform) YOUR ANSWER

A uniform distribution has all outcomes equally likely; each variable occurs with the same frequency. However, in the given data set, the numbers '2' and '8' occur more frequently than the others, thus this distribution is not uniform.

B (Bimodal) CORRECT

A bimodal distribution has two values that appear most frequently (modes). In the given data set, the numbers '2' and '8' both appear four times, making them the modes and hence the data set is bimodal.

C (Right-skewed) YOUR ANSWER

A right-skewed distribution has a long tail on the right. This means that it has a large number of data points on the left of the peak value, and the tail points towards the right of the number line. However, in this data set, we don't observe such a pattern.

D (Left-skewed) YOUR ANSWER

A left-skewed distribution has a long tail on the left. This means that it has a large number of data points on the right of the peak value, and the tail points towards the left of the number line. But this data set doesn't show such a pattern.

Conclusion

In conclusion, the data set given is bimodal because it has two modes, '2' and '8', each appearing four times. The distribution doesn't match the characteristics of uniform, right-skewed, or left-skewed distributions. Hence, the term that best describes it is bimodal.

Which term best describes the data set below: 1, 1, 2, 2, 2, 2, 3, 3, 7, 7, 8, 8, 8, 8, 9, 9?

The data set is best described as Bimodal.

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