To determine which conclusion is best supported by the histograms, we would need to analyze the characteristics of the shoe size distributions for the 6th and 7th graders displayed in the histograms. Here’s a breakdown of each option:
A. As boys get older, shoe sizes increase and the distribution remains relatively unchanged. – This would suggest that while the average shoe size increases, the overall shape of the distribution does not vary much.
B. As boys get older, shoe size range, defined by the minimum and maximum, decreases. – This would imply that as boys move from 6th to 7th grade, their shoe sizes are becoming more similar, with fewer extreme values.
C. As boys get older, shoe sizes become more normally distributed with fewer large outliers. – This indicates that the shoe size distribution is becoming more bell-shaped and concentrated around a central value, with fewer extremely large sizes.
D. As boys get older, shoe size distribution becomes more spread with more large outliers. – This implies that there is an increase in variability or spread in shoe sizes, and the presence of larger sizes is becoming more common.
Without seeing the actual histograms, if one option is preferred based on typical growth patterns, it is likely option D. This is because, as boys age, they tend to experience growth spurts, which can lead to a larger spread in shoe sizes and potentially more occurrences of larger sizes (outliers).
However, if the histograms showed that the distributions were becoming more centralized and symmetrical, then option C could be better suited.
Ultimately, without viewing the histograms, I recommend choosing D as it aligns with common observations in physical growth among boys in those grades.