Beyond the Average: Using Summary Statistics to Compare Groups In the table below, you'll find the means and standard deviations (SD) for each variable. Notice that in three of the four variables, males have a larger mean. However, relying on a single number (the mean) to represent a distribution ignores the variability within the data. To address this, we'll calculate intervals of typical measurements for both men and women (mean SD) and examine whether these intervals overlapor notto compare the distributions. Group Stat Waist Girth Thigh Girth Abdominal Girth Bicep Girth Males Mean 84.5 56.5 87.7 34.4 Males SD 8.8 4.3 8.4 3.0 Females Mean 69.8 57.2 83.7 28.1 Females SD 7.6 4.6 9.9 2.7 Compute the typical interval for each group and variable as mean SD, then decide whether the intervals overlap. Note: If intervals do not overlap (or barely overlap), that suggests a larger difference between groups for that variable. If they overlap substantially, the groups are more similar on typical values for that variable. Typical waist girth (males): (______ , ______ ) Typical waist girth (females): ( ______ , ______ ) Are males substantially larger than females in typical waist measurements? Typical thigh