The table shows the lengths of rope that the members of an outdoor club bring on a camping trip. Multiply each length of rope in the table below by its frequency.
Drag the tiles to complete the table. The first one is done as an example. Each tile may be used once, more than once, or not at all.
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Length (yards) Frequency Multiplication
1
1
4
3
3
3
4
1
1
2
8
1
3
4
4
2
1
2
6
Part B
Find the total length of rope that is brought on the trip.
A.
25
3
4
yards
B.
29
3
4
yards
C.
33
3
4
yards
D.
37
3
4
yards
The total length of rope can be found by summing up the products in the "Multiplication" column:
1(2) + 3(3) + 4(2) + 2(2) + 1(1) + 3(1) + 4(1) + 3(1) + 4(1) + 4(1) = 2 + 9 + 8 + 4 + 1 + 3 + 4 + 3 + 4 + 4 = 42
Therefore, the total length of rope brought on the trip is 42 yards. The answer is D. 37 3/4 yards is not a possible answer.
To complete the table, we need to multiply each length of rope in the first column by its frequency.
Length (yards) Frequency Multiplication
1 6 6
1 5 5
4 3 12
3 2 6
3 4 12
3 5 15
4 3 12
1 2 2
8 1 8
1 3 3
4 4 16
2 4 8
To find the total length of rope brought on the trip, we need to sum up the values in the "Multiplication" column:
6 + 5 + 12 + 6 + 12 + 15 + 12 + 2 + 8 + 3 + 16 + 8 = 105
Therefore, the total length of rope brought on the trip is 105 yards.
The correct answer for Part B is:
C. 33 3/4 yards
To find the total length of rope brought on the trip, you need to multiply each length of rope by its frequency and then add up the results.
First, let's multiply each length of rope by its frequency:
Length (yards) Frequency Multiplication
1 6 6
3 4 12
4 3 12
2 2 4
Next, let's find the total length of rope by adding up the results:
6 + 12 + 12 + 4 = 34 yards
Therefore, the correct answer is:
D. 37 3/4 yards