Which is true of the data shown in the histogram?
I. The distribution is skewed to the right.
II. The mean is probably smaller than the median.
III. We should use median and IQR to summarize these data.
A) II and III only
B) I, II, and III
C) I only
D) II only
E) III only

Question

Which is true of the data shown in the histogram?
I. The distribution is skewed to the right.
II. The mean is probably smaller than the median.
III. We should use median and IQR to summarize these data. 
A) II and III only 
B) I, II, and III 
C) I only 
D) II only 
E) III only

Quizplus · Accepted Answer

From the histogram, we can see that the majority of the bars are on the left side, with very few on the right side. This indicates a skew to the right, so statement I is true. Additionally, the median is likely closer to the center of the distribution (towards the left), while there are a few high values that pull the mean towards the right. Therefore, statement II is also true. Finally, because of the skewness, it is best to use the median and IQR as summary statistics instead of the mean and standard deviation. Therefore, statement III is also true.

Which Is True of the Data Shown in the Histogram