43. Given the data collected from research on cancer patients: (Graph shown with y = z, standard deviation = 3). What is the skew of the distribution?
Answer: A
The distribution is skewed right.
The data collected from cancer patients indicates that the distribution has a longer tail on the right side, which is characteristic of a right-skewed distribution. This suggests that there are a few higher values that are pulling the mean to the right.
A) Skewed right
This option is correct because a right-skewed distribution has a tail that extends towards the higher values. The description aligns with the data suggesting that there are a few patients with significantly higher values, which affects the skewness of the distribution.
B) Bimodal
This option is incorrect as a bimodal distribution would feature two distinct peaks in frequency, which is not indicated in the provided context. The data does not suggest multiple modes but rather a skew towards higher values.
C) Normal
This option is also incorrect because a normal distribution is symmetrical and does not exhibit skewness. The presence of skewness in the data indicates that it deviates from normality, thus ruling out this option.
D) Skewed left
This option is incorrect because a left-skewed distribution would have a tail that extends towards the lower values. The information presented indicates a rightward skew, making this option inconsistent with the data.
Conclusion
The correct answer is "skewed right" because the data shows a tendency towards higher values, which is a hallmark of right skewness. All other options fail to accurately describe the distribution as they either misrepresent the shape or suggest normality, which contradicts the observed characteristics of the data.