Questions: Approximating the mean of a date set given a histogram Based on the histogram, estimate the mean weight loss (in pounds) for this sample of Weight Away clients. Carry your intermediate computations to at least four decimal places, and round your answer to at least one decimal place.

Approximating the mean of a date set given a histogram Based on the histogram, estimate the mean weight loss (in pounds) for this sample of Weight Away clients. Carry your intermediate computations to at least four decimal places, and round your answer to at least one decimal place.
Transcript text: Approximating the mean of a date set given a histogram Based on the histogram, estimate the mean weight loss (in pounds) for this sample of Weight Away clients. Carry your intermediate computations to at least four decimal places, and round your answer to at least one decimal place.
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Solution

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Solution Steps

Step 1: Calculate the midpoint of each interval

The intervals are -10 to 0, 0 to 10, 10 to 20, 20 to 30, 30 to 40, and 40 to 50. The midpoints are -5, 5, 15, 25, 35, and 45.

Step 2: Multiply each midpoint by its corresponding frequency

-5 * 7 = -35 5 * 6 = 30 15 * 14 = 210 25 * 11 = 275 35 * 9 = 315 45 * 4 = 180

Step 3: Sum the products and divide by the total number of clients

(-35 + 30 + 210 + 275 + 315 + 180) / 51 = 975 / 51 ≈ 19.1

Final Answer

19.1

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