Question

Obesity. Researchers in obesity wanted to compare the effectiveness of dieting with exercise against dieting without exercise. Seventy-three patients were randomly divided into two groups. Group $1$. composed of $37$patients, was put on a program of dieting with exercise. Group $2$. composed of $36$patients, dieted only. The results for weight loss, in pounds, after $2$months are summarized in the following boxplots. The top boxplot is for Group $1$. and the bottom boxplot is for Group $2$. Use the boxplots to compare the weight losses for the two groups, paying special attention to center and variation.

Short answer

Weight loss differences in group $1$are less than weight loss differences in group $2$.

Step-by-step solution

Given information

We need to find out the variation of weight loss in group $1$and group $2$.

Explanation

The whiskers of the boxplot are of low and high value. The box starts at the lower quartile, ends at the upper quartile, and has a straight vertical line at the median.

In general, both groups seem to lose almost the same amount as the median is almost identical in both groups

Now, the weight loss variant in group $1$is less than the weight loss variant in group $2$because its boxplot is slightly wider than the boxplot of group $2$.