The following summary statistics were computed from a sample of size 250: . Based on this information, which of the following statements is correct?
A) The distribution of the data is slightly right-skewed.
B) The distribution of the data is symmetric.
C) A data value of 20 is an outlier.
D) None of these.
E) All of these.

Question

The following summary statistics were computed from a sample of size 250:  . Based on this information, which of the following statements is correct?
A) The distribution of the data is slightly right-skewed. 
B) The distribution of the data is symmetric. 
C) A data value of 20 is an outlier. 
D) None of these. 
E) All of these.

Quizplus · Accepted Answer

None of the given statements can be concluded solely based on the summary statistics provided. The measures of central tendency (mean, median) and the measures of dispersion (range, interquartile range, standard deviation) do not provide any information about the shape of the distribution or the presence of outliers. Therefore, we cannot determine whether the distribution is symmetric or right-skewed, or whether a data value of 20 is an outlier.

The Following Summary Statistics Were Computed from a Sample of Size