Question

a random sample of 21 students from U and 21 students at A&T for surveyed their music listening habits. Their responses (IN HOURS, each square represents 0.5 hour) were record and displayed using the following histograms. The one on the left is from U and the one on the right is for A&T students. Which data set (the U students or the SHSAT students) has a larger standard deviation? Explain!​

Answer 1

The numbers are a bit blurry so I can't determine the numeric standard deviation for each set. However, we can see that the histogram on the left has an outlier, which will increase the standard deviation compared to the data set that doesn't have an outlier. Therefore it is likely data set U has a larger standard deviation.