At a sawmill in Oregon,a process improvement team measured the diameters for a sample of 1,500 logs.The following summary statistics were computed: Given this information,which of the following statements is correct?
A)The distribution of log diameters is symmetric.
B)A log that is over 20 inches in diameter can be considered an outlier.
C)The distribution of log diameters is right-skewed.
D)The distribution is left-skewed.

Question

At a sawmill in Oregon,a process improvement team measured the diameters for a sample of 1,500 logs.The following summary statistics were computed:  Given this information,which of the following statements is correct?
A)The distribution of log diameters is symmetric. 
B)A log that is over 20 inches in diameter can be considered an outlier. 
C)The distribution of log diameters is right-skewed. 
D)The distribution is left-skewed.

Quizplus · Accepted Answer

The median (50th percentile) is greater than the mean, indicating that the distribution has a tail that is skewed to the right. Therefore, the correct statement is that the distribution of log diameters is right-skewed. Option A is incorrect because the distribution cannot be assumed symmetric based on these summary statistics. Option B is incorrect since the quartiles indicate that the logs vary in size up to a diameter of 25 inches. Option D is incorrect since the data is right-skewed.

At a Sawmill in Oregon,a Process Improvement Team Measured the Diameters