Bot What is the mean absolute deviation of the following dataset: 4.8, 5.9, 6.2, 10.8, 1.2, 6.4? Round the answer to the nearest tenth.(1 point)
To find the mean absolute deviation (MAD), we need to find the average of the absolute differences between each data point and the mean.
First, we find the mean of the dataset:
Mean = (4.8 + 5.9 + 6.2 + 10.8 + 1.2 + 6.4) / 6 = 35.3 / 6 ≈ 5.88
Next, we calculate the absolute difference between each data point and the mean, and find their average:
|4.8 - 5.88| = 1.08
|5.9 - 5.88| = 0.02
|6.2 - 5.88| = 0.32
|10.8 - 5.88| = 4.92
|1.2 - 5.88| = 4.68
|6.4 - 5.88| = 0.52
Average absolute deviation = (1.08 + 0.02 + 0.32 + 4.92 + 4.68 + 0.52) / 6
≈ 11.54 / 6 ≈ 1.92
Therefore, the mean absolute deviation is approximately 1.9 (rounded to the nearest tenth).
The number of words Mr. Ahmad’s students read per minute is 109, 89, 112, 98, 101, 105, 120, 106. What is the mean absolute deviation of the dataset? Round the answer to the nearest tenth.(1 point)
To find the mean absolute deviation (MAD), we need to find the average of the absolute differences between each data point and the mean.
First, we find the mean of the dataset:
Mean = (109 + 89 + 112 + 98 + 101 + 105 + 120 + 106) / 8 = 840 / 8 = 105
Next, we calculate the absolute difference between each data point and the mean, and find their average:
|109 - 105| = 4
|89 - 105| = 16
|112 - 105| = 7
|98 - 105| = 7
|101 - 105| = 4
|105 - 105| = 0
|120 - 105| = 15
|106 - 105| = 1
Average absolute deviation = (4 + 16 + 7 + 7 + 4 + 0 + 15 + 1) / 8
= 54 / 8 = 6.75
Therefore, the mean absolute deviation is 6.8 (rounded to the nearest tenth).
Data Point Absolute Deviation
5 17.3
10 12.3
45
12 10.3
27
35 12.7
The table lists Jude’s data for how many people walk into a store each half hour. The mean is 22.3. Identify the absolute deviation for each missing value. Round each value to the nearest tenth.
(1 point)
To calculate the missing absolute deviations, we need to find the absolute differences between each data point and the mean (22.3).
First, let's look at the missing values.
For the first missing value (45):
|45 - 22.3| = 22.7
For the second missing value (27):
|27 - 22.3| = 4.7
Now we can complete the table:
Data Point | Absolute Deviation
5 | 17.3
10 | 12.3
45 | 22.7
12 | 10.3
27 | 4.7
35 | 12.7
Rounding each value to the nearest tenth, the completed table becomes:
Data Point | Absolute Deviation
5 | 17.3
10 | 12.3
45 | 22.7
12 | 10.3
27 | 4.7
35 | 12.7
Therefore, the absolute deviation for the missing values are approximately 22.7 and 4.7, respectively.
Leon counts the number of bugs he finds on his tomato plants each day and collects the following data: 18, 24, 15, 9, 10. The mean is 15.2. What is the final equation that he would use in determining the mean absolute deviation? Round each value to the nearest tenth.(2 points)
To determine the mean absolute deviation (MAD), Leon would use the equation:
MAD = (|18 - 15.2| + |24 - 15.2| + |15 - 15.2| + |9 - 15.2| + |10 - 15.2|) / 5
Simplifying this equation, we get:
MAD = (2.8 + 8.8 + 0.2 + 6.2 + 5.2) / 5
MAD = 23.2 / 5
MAD ≈ 4.6
Therefore, the final equation that Leon would use to determine the mean absolute deviation is:
MAD = (|x1 - mean| + |x2 - mean| + |x3 - mean| + |x4 - mean| + |x5 - mean|) / n
where n is the number of observations and xi represents each data point. In this case, the equation becomes:
MAD = (|18 - 15.2| + |24 - 15.2| + |15 - 15.2| + |9 - 15.2| + |10 - 15.2|) / 5
so what do i pput?
In the equation to determine the mean absolute deviation (MAD), you would replace "x1", "x2", "x3", "x4", and "x5" with the respective data points, and replace "mean" with the calculated mean value.
Using the given data, the equation to calculate the mean absolute deviation would be:
MAD = (|18 - 15.2| + |24 - 15.2| + |15 - 15.2| + |9 - 15.2| + |10 - 15.2|) / 5
Simplifying further, the equation becomes:
MAD = (2.8 + 8.8 + 0.2 + 6.2 + 5.2) / 5
MAD ≈ 4.6
So, in this case, you would put the resulting equation:
MAD ≈ 4.6
it says [_] ÷ [_] = [_]
what do i put?