To estimate the total weight that Kyle lifts throughout the day, we can first calculate the average weight of the 20 randomly selected boxes and then use that average to estimate the total weight of all 200 boxes.
Here are the weights of the 20 boxes you've provided:
3739, 47, 39, 50, 42, 40, 54, 50, 46, 38, 46, 52, 54, 42, 48, 53, 49, 43, 51.
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Calculate the average weight of the 20 boxes:
First, we sum the weights of the individual boxes: \[ 3739 + 47 + 39 + 50 + 42 + 40 + 54 + 50 + 46 + 38 + 46 + 52 + 54 + 42 + 48 + 53 + 49 + 43 + 51 = 3739 + 494 = 4233 \]
The calculation seems incorrect because the value 3739 appears to be an outlier or incorrect, it might have been a typo.
Let's ignore the erroneous value and only sum up the reasonable weights: \[ 47 + 39 + 50 + 42 + 40 + 54 + 50 + 46 + 38 + 46 + 52 + 54 + 42 + 48 + 53 + 49 + 43 + 51 = 810 \]
Since there are 19 valid weights, we divide the total weight by 19 to get the average: \[ \text{Average Weight} = \frac{810}{19} \approx 42.68 \text{ (rounded to two decimal places)} \]
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Estimate the total weight for all 200 boxes:
Now we multiply the average weight by the total number of boxes (200): \[ \text{Total Weight} = \text{Average Weight} \times \text{Total Number of Boxes} = 42.68 \times 200 \approx 8536 \text{ pounds (as an estimate)} \]
Thus, the estimated total weight that Kyle lifts throughout the day is approximately 8536 pounds.