Quiz 1

3.  In the​ U.S., shoe sizes are defined differently for men and​ women, but in​ Europe, both genders use the same shoe size scale. The accompanying histogram shows the European shoe sizes of 269 male and female college​ students, converted from their reported U.S. shoe sizes. What might be the problem with either the standard deviation or the IQR as a measure of​ spread?

Choose the correct answer below.

1. The distribution is​ bimodal, so the standard deviation is not a useful measure of spread. The range should be reported instead.
2. The distribution is​ symmetric, so the IQR is not a useful measure of spread. The range should be reported instead.
3. The distribution is​ skewed, so the standard deviation is not a useful measure of spread. The range should be reported instead.
4. The data combines shoe sizes for both men and women. It​ isn’t appropriate to find a measure of spread as if they were a coherent collection of values.