Histograms (1 mark)Which of the following statements about the following histogram of data points in 'y' is true:[Fill in the blank]

Question

BlackTom AI · Accepted Answer

Begin by examining the histogram’s overall shape and the positions of the mean and median lines.
Option A: 'In this histogram, the data is positively skewed data.' A positively skewed (right-skewed) distribution would have a longer tail on the right side (toward higher values) and the mean typically lies to the right of the median. Here, the data and tail appear toward more negative values, not toward higher values, so this is unlikely.
Option B: 'In this histogram, the data is negatively skewed data.' The plotted data cluster toward higher (less negative) y-values with a tail extending toward more negative values. If the tail is on the left, a characteristic feature is that the mean tends to be pulled to the left of the median, so the mean line should lie left of the median line. The orange lines show the mean and median positions, and their relative placement supports a leftward tail.
Option C: 'In this histogram, the data is both negatively and positively skewed.' A distribution cannot be simultaneously skewed in two directions in a single continuous sense; skewness is described as a single direction (left/right). The histogram shape and the mean/median arrangement do not indicate a bidirectional skew as a distinct property.
Option D: 'None of the above options.' Since the histogram clearly suggests a left (negative) tail and the mean/median placement aligns with a negatively skewed distribution, this option would be incorrect.
In summary, the visual evidence—the concentration of data toward higher values with a longer tail to the left, coupled with the typical mean–median positioning for a negatively skewed distribution—points to the negative skew interpretation being the true one. The other statements either mischaracterize the tail direction or rely on an invalid notion of dual skewness. Finally, the phrasing and axis orientation in this figure confirm the leftward skew pattern rather than a rightward one, supporting the characterization as negatively skewed.

Histograms (1 mark)Which of the following statements about the following histogram of data points in 'y' is true:[Fill in the blank]

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Histograms (1 mark)Which of the following statements about the following histogram of data points in 'y' is true:[Fill in the blank]

查看解析

登录即可查看完整答案

类似问题

偏度衡量数值分布的对称性，不对称的分布称为偏斜分布。给定一个变量的直方图，下列哪种偏度类型最能描述该分布？

In a right-skewed distribution

If the shape of a distribution is skewed, with a long tail projecting longer to the left than to the right, how would the distribution be skewed?​

What is population skew?

A sample of people who have attended a football game at the U has a mean = 3.2 members in their family. The mode number of family members is 2 and the median number is 2.0. Based on this information:

The shape of the data distribution displayed by this dot plot is best described as:

What is considered severe skew in a data distribution?

The shape of the data distribution displayed by this dot plot is best described as:

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If the shape of a distribution is skewed, with a long tail projecting longer to the left than to the right, how would the distribution be skewed?