Question

weight away, a company that sells weight - loss plans, often advertises the effectiveness of its plans by highlighting the stories of a few clients who have lost extraordinary amounts of weight. the following histogram gives information about more typical clients, summarizing the weight loss (in pounds) over the past month for a sample of 50 clients. based on the histogram, find the proportion of weight loss values in the sample that are at least 40 pounds. write your answer as a decimal, and do not round your answer.

Explanation:

Step1: Identify the number of clients with weight loss at least 40 pounds

From the histogram, the number of clients with weight loss in the \(40 - 50\) range is \(8\) and in the \(50 - 60\) range is \(6\). So the total number of clients with weight loss at least 40 pounds is \(8 + 6=14\).

Step2: Calculate the proportion

The proportion \(p\) is given by the formula \(p=\frac{\text{Number of favorable cases}}{\text{Total number of cases}}\). Here, the total number of cases is \(n = 50\). So \(p=\frac{14}{50}\).

Answer:

\(0.28\)