Question

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find the weighted average of a data set where 60 has a weight of 2, 70 has a weight of 3, and 80 has a weight of 5. Step 1 The weighted average can be calculated using sum xw over sum w where x is a data value and w is the weight assigned to that data value. We are given that 60 has a weight of 2, 70 has a weight of 3, and 80 has a weight of 5. Before performing any calculations, organize the data. Pair each data value with its respective weight and state the product. x: 60, 70, 80 w: 2, 3, 5 xw: The weighted average can be calculated using sum xw over sum w where x is a data value and w is the weight assigned to that data value. The summation notation sigma means that we take the sum of the products of each data value and its respective weight. The problem states the lab score is worth 24%, each major test is worth 20%, and the final exam is worth 36%. The scores are 91 on the lab, 74 on the first major test, 82 on the second major test, and 67 on the final exam. Before performing any calculations, organize and prepare the data. Convert each percentage weight to a decimal weight by moving the decimal to the left two places. Then pair each data value with its respective weight and state the product. Lab | 1st Major Test | 2nd Major Test | Final Exam x Score | 91 | | 82 | w Weight (Decimal) | 0.24 | 0.2 | | 0.36 xw Product | (0.24) | 74(0.2) | 82(0.2) | 67(0.36) We are to determine the mean of the new set that results when the value 21 is included as an additional value in Set B. As before, we will first take a closer look at the original set. We are given that Set B has n = 50 data values and mean x bar = 10. There are 50 data values in Set B, so we can let x1, x2, ..., x50 be the data values in the original Set B. Since the mean is equal to 10 we have the following. x bar = sum x over n 10 = x1 + x2 + ... + x50 over 50 (10) = x1 + x2 + ... + x50 = x1 + x2 + ... + x50

          This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.

Tutorial Exercise

Find the weighted average of a data set where 60 has a weight of 2, 70 has a weight of 3, and 80 has a weight of 5.

Step 1

The weighted average can be calculated using sum xw over sum w where x is a data value and w is the weight assigned to that data value.

We are given that 60 has a weight of 2, 70 has a weight of 3, and 80 has a weight of 5.

Before performing any calculations, organize the data. Pair each data value with its respective weight and state the product.

x: 60, 70, 80
w: 2, 3, 5
xw:

The weighted average can be calculated using sum xw over sum w where x is a data value and w is the weight assigned to that data value. The summation notation sigma means that we take the sum of the products of each data value and its respective weight.

The problem states the lab score is worth 24%, each major test is worth 20%, and the final exam is worth 36%. The scores are 91 on the lab, 74 on the first major test, 82 on the second major test, and 67 on the final exam.

Before performing any calculations, organize and prepare the data. Convert each percentage weight to a decimal weight by moving the decimal to the left two places. Then pair each data value with its respective weight and state the product.

Lab | 1st Major Test | 2nd Major Test | Final Exam
x Score | 91 | | 82 |
w Weight (Decimal) | 0.24 | 0.2 | | 0.36
xw Product | (0.24) | 74(0.2) | 82(0.2) | 67(0.36)

We are to determine the mean of the new set that results when the value 21 is included as an additional value in Set B. As before, we will first take a closer look at the original set. We are given that Set B has n = 50 data values and mean x bar = 10.

There are 50 data values in Set B, so we can let x1, x2, ..., x50 be the data values in the original Set B. Since the mean is equal to 10 we have the following.

x bar = sum x over n
10 = x1 + x2 + ... + x50 over 50
(10) = x1 + x2 + ... + x50
= x1 + x2 + ... + x50

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.

Tutorial Exercise

Find the weighted average of a data set where 60 has a weight of 2, 70 has a weight of 3, and 80 has a weight of 5.

Step 1

The weighted average can be calculated using sum xw over sum w where x is a data value and w is the weight assigned to that data value.

We are given that 60 has a weight of 2, 70 has a weight of 3, and 80 has a weight of 5.

Before performing any calculations, organize the data. Pair each data value with its respective weight and state the product.

x: 60, 70, 80
w: 2, 3, 5
xw:

The weighted average can be calculated using sum xw over sum w where x is a data value and w is the weight assigned to that data value. The summation notation sigma means that we take the sum of the products of each data value and its respective weight.

The problem states the lab score is worth 24%, each major test is worth 20%, and the final exam is worth 36%. The scores are 91 on the lab, 74 on the first major test, 82 on the second major test, and 67 on the final exam.

Before performing any calculations, organize and prepare the data. Convert each percentage weight to a decimal weight by moving the decimal to the left two places. Then pair each data value with its respective weight and state the product.

Lab | 1st Major Test | 2nd Major Test | Final Exam
x Score | 91 | | 82 |
w Weight (Decimal) | 0.24 | 0.2 | | 0.36
xw Product | (0.24) | 74(0.2) | 82(0.2) | 67(0.36)

We are to determine the mean of the new set that results when the value 21 is included as an additional value in Set B. As before, we will first take a closer look at the original set. We are given that Set B has n = 50 data values and mean x bar = 10.

There are 50 data values in Set B, so we can let x1, x2, ..., x50 be the data values in the original Set B. Since the mean is equal to 10 we have the following.

x bar = sum x over n
10 = x1 + x2 + ... + x50 over 50
(10) = x1 + x2 + ... + x50
= x1 + x2 + ... + x50

Added by Karen A.

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