Questions: 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 less than 40 pounds. Write your answer as a decimal, and do not round your answer.

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 less than 40 pounds. Write your answer as a decimal, and do not round your answer.
Transcript text: 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 less than 40 pounds. Write your answer as a decimal, and do not round your answer. $\square$ Check
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Solution

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Solution Steps

Step 1: Calculate the number of clients with weight loss less than 40 pounds.

The histogram shows the following frequencies for weight loss less than 40 pounds:

  • 0-10 pounds: 5 clients
  • 10-20 pounds: 7 clients
  • 20-30 pounds: 13 clients
  • 30-40 pounds: 11 clients

Total clients with weight loss less than 40 pounds: 5 + 7 + 13 + 11 = 36 clients

Step 2: Calculate the proportion.

The total number of clients in the sample is 50. The number of clients with weight loss less than 40 pounds is 36. Proportion = (Number of clients with weight loss less than 40 pounds) / (Total number of clients) Proportion = 36 / 50 = 0.72

Final Answer:

0.72

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