Answer:
Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. Mean absolute deviation is a way to describe variation in a data set. Mean absolute deviation helps us get a sense of how "spread out" the values in a data set are.
Step-by-step explanation:
To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value – mean|.
Answer:
Step-by-step explanation:
We want to solve , where .
We rewrite in terms of sine and cosine.
Use the Pythagorean identity: .
This is a quadratic equation in .
By the quadratic formula, we have:
or
or
or
When ,
on the interval .
When , is not defined because
Answer:
8x = 4x+30
x=7.5
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