Paulo tracks his commute time. The coordinate plane below shows some of his commute times in the last two weeks. The x-axis of t
1 answer:
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Answer:
The mean absolute deviation of this data is
.
Step-by-step explanation:
The mean absolute deviation (MAD) of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset.
The steps to find the MAD include:
- find the mean (average)
- find the difference between each data value and the mean
- take the absolute value of each difference
- find the mean (average) of these differences
To find the mean absolute deviation of this data you must
Step 1: Calculate the mean.
Step 2: Calculate the distance between each data point and the mean and take the absolute value of each difference .
Step 3: Add the distances together.
Step 4: Divide the sum by the number of data points.
Answer:
a = 2, b = - 5
Step-by-step explanation:
Given
y = ax² + bx
is the measure of the slope at x = a
Differentiate each term with respect to x using the power rule
(a
) = na
= 2ax + b, hence
2ax + b = 3 at (2, - 2)
Substitute x = 2 into
4a + b = 3 → (1) and substitute x = 2 into y
4a + 2b = - 2 → (2)
Subtract ( 1) from (2)
b = - 2 - 3 = - 5
Substitute b = - 5 into (1)
4a - 5 = 3 ( add 5 to both sides )
4a = 8 ( divide both sides by 4 )
a = 2