Shown below are the histogram and summary statistics for the reading scores of 29 fifth graders.

Which measures of centre and spread would you use for this distribution?
A)Mean and standard deviation,because the data is symmetric.
B)Median and IQR,because the data is skewed to the left.
C)Mean and standard deviation,because the data is skewed to the left.
D)Mean and IQR,because the data is skewed to the left.
E)Median and standard deviation,because the data is skewed to the left.

Question

Shown below are the histogram and summary statistics for the reading scores of 29 fifth graders.

Which measures of centre and spread would you use for this distribution?
A)Mean and standard deviation,because the data is symmetric. 
B)Median and IQR,because the data is skewed to the left. 
C)Mean and standard deviation,because the data is skewed to the left. 
D)Mean and IQR,because the data is skewed to the left. 
E)Median and standard deviation,because the data is skewed to the left.

Quizplus · Accepted Answer

The histogram shows that the distribution is skewed to the left, with a longer tail on the left-hand side. This means that the median is a better measure of central tendency than the mean, as it is less affected by outliers. The interquartile range (IQR) is a better measure of spread than the standard deviation, as the latter is based on the assumption of a symmetric distribution and can be strongly influenced by outliers. Therefore, the best choice would be to use the median and IQR to summarize this distribution.

Shown Below Are the Histogram and Summary Statistics for the Reading