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8.4, 9.4, 14.2, 5.6, 8.3, 9.0, added together

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To add these numbers together, you simply need to sum them up:

8.4 + 9.4 + 14.2 + 5.6 + 8.3 + 9.0

When you add these numbers together, you get a sum of 54.9.
8.4, 9.4, 14.2, 5.6, 8.3, 9.0, 10.2. added together
To find the sum of these numbers, you need to add them all together:

8.4 + 9.4 + 14.2 + 5.6 + 8.3 + 9.0 + 10.2 = 65.1

So, when you add these numbers together, the sum is 65.1.
65.1 divided by 7
When you divide 65.1 by 7, the result is approximately 9.3.
When you subtract 9.3 from 8.4, the result is approximately -0.9.
what is the absolute value of 0.9
The absolute value of 0.9 is simply 0.9. Absolute value is a mathematical function that returns the distance of a number from zero, disregarding its sign. Since 0.9 is already positive, its absolute value remains the same.
When you subtract 9.3 from 9.4, the result is 0.1.
Find the mean absolute deviation of the following dataset: 8.4, 9.4, 14.2, 5.6, 8.3, 9.0, 10.2. Round the answer to the nearest tenth.(1 point)
Responses

9.3
9.3

7.0
7.0

11.8
11.8

1.7
To find the mean absolute deviation (MAD), follow these steps:

1. Find the mean of the dataset.
Mean = (8.4 + 9.4 + 14.2 + 5.6 + 8.3 + 9.0 + 10.2) / 7
Mean = 65.1 / 7
Mean ≈ 9.3

2. Subtract the mean from each data point and take the absolute value.

|8.4 - 9.3| = 0.9
|9.4 - 9.3| = 0.1
|14.2 - 9.3| = 4.9
|5.6 - 9.3| = 3.7
|8.3 - 9.3| = 1.0
|9.0 - 9.3| = 0.3
|10.2 - 9.3| = 0.9

3. Find the mean of the absolute values calculated in step 2.

MAD = (0.9 + 0.1 + 4.9 + 3.7 + 1.0 + 0.3 + 0.9) / 7
MAD ≈ 1.7

Therefore, the mean absolute deviation of the given dataset is approximately 1.7.
The number of visitors to a museum per hour recorded in one day is 106, 122, 134, 150, 120, 92, 75. What is the mean absolute deviation for this dataset? Round the answer to the nearest tenth.(1 point)
Responses

114.1
114.1

138.9
138.9

799.0
799.0

19.8
To find the mean absolute deviation (MAD), follow these steps:

1. Find the mean of the dataset.
Mean = (106 + 122 + 134 + 150 + 120 + 92 + 75) / 7
Mean = 799 / 7
Mean ≈ 114.1

2. Subtract the mean from each data point and take the absolute value.

|106 - 114.1| = 8.1
|122 - 114.1| = 7.9
|134 - 114.1| = 19.9
|150 - 114.1| = 35.9
|120 - 114.1| = 5.9
|92 - 114.1| = 22.1
|75 - 114.1| = 39.1

3. Find the mean of the absolute values calculated in step 2.

MAD = (8.1 + 7.9 + 19.9 + 35.9 + 5.9 + 22.1 + 39.1) / 7
MAD ≈ 19.8

Therefore, the mean absolute deviation for this dataset is approximately 19.8.
A dataset includes the point 34.6. The mean of the set is 32.1. What is the absolute deviation for this data point? Round the answer to the nearest tenth.(1 point)
Responses

2.5
2.5

34.6
34.6

−2.5
negative 2.5

32.1
To find the absolute deviation for a data point, follow these steps:

1. Subtract the mean from the data point.
Absolute Deviation = 34.6 - 32.1 = 2.5

Therefore, the absolute deviation for the data point 34.6 is 2.5.
Apologies for the mistake. To find the absolute deviation for a data point, follow these steps:

1. Take the absolute value of the difference between the data point and the mean.
Absolute Deviation = |34.6 - 32.1| = 2.5

Therefore, the absolute deviation for the data point 34.6 is indeed 2.5.
Sarina tracks her time spent on homework each night for a week, in minutes. She collects the following times: 51, 60, 25, 15, 20, 5, 35. When she solves for the mean absolute deviation, what number will she use for the divisor?(1 point)
Responses

30.1
30.1

7
7

15.9
15.9

55
To calculate the mean absolute deviation (MAD), you will divide the sum of the absolute deviations by the number of data points. In this case, Sarina has 7 data points, so the divisor will be 7.

Therefore, she will use the number 7 as the divisor when calculating the mean absolute deviation.
What is the sum of the absolute deviations in the following dataset: 68, 51, 75, 78, 94, 35? The mean is 66.8.(1 point)
Responses

95.4
95.4

59
59

401
401

15.9
To find the sum of the absolute deviations in the dataset, follow these steps:

1. Calculate the absolute deviation for each data point by subtracting the mean from each value and taking the absolute value:

|68 - 66.8| = 1.2
|51 - 66.8| = 15.8
|75 - 66.8| = 8.2
|78 - 66.8| = 11.2
|94 - 66.8| = 27.2
|35 - 66.8| = 31.8

2. Sum up the absolute deviations:

1.2 + 15.8 + 8.2 + 11.2 + 27.2 + 31.8 = 95.4

Therefore, the sum of the absolute deviations in the dataset is 95.4.