Question

Kyle stocks the shelves at a grocery store. He is responsible for stocking 200 boxes. He wants to know how much weight he lifts throughout the day as he is working. He randomly selects 20 of the boxes and weighs them before stocking them.

Weight of Boxes (pounds)

37

39

47

39

50

42

40

54

50

46

38

46

52

54

42

48

53

49

43

51



Estimate the population total, or the total amount of weight that Kyle lifts throughout the day.

(1 point)

Answer 1

To estimate the total weight that Kyle lifts throughout the day, we first need to calculate the average weight of the 20 boxes he weighed. Then, we will multiply this average by the total number of boxes (200).

Here are the weights of the 20 boxes:

37, 39, 47, 39, 50, 42, 40, 54, 50, 46, 38, 46, 52, 54, 42, 48, 53, 49, 43, 51.

1. Calculate the sum of the weights:
\[
37 + 39 + 47 + 39 + 50 + 42 + 40 + 54 + 50 + 46 + 38 + 46 + 52 + 54 + 42 + 48 + 53 + 49 + 43 + 51 = 1010 \text{ pounds}
\]

2. Calculate the average weight:
\[
\text{Average weight} = \frac{\text{Total weight}}{\text{Number of boxes}} = \frac{1010 \text{ pounds}}{20} = 50.5 \text{ pounds}
\]

3. Estimate the total weight for 200 boxes:
\[
\text{Estimated total weight} = \text{Average weight} \times \text{Total number of boxes} = 50.5 \text{ pounds} \times 200 = 10100 \text{ pounds}
\]

Thus, the estimated total amount of weight that Kyle lifts throughout the day is **10,100 pounds**.