The mean absolute deviation is 10.52.
<h3>What is the mean absolute deviation?</h3>
The mean absolute deviation of a dataset is the average distance between each data point and the mean. It is a measure of variation of a data set.
MAD =1/n ∑ l x - m(x) l
Where:
n = total numbers in the data set
x = number
m(x) - median
The first step is to determine the mean of the data set: (42 + 31 + 1 + 1 + 2 4+ 5 + 6 + 7 + 3) / 10 = 10.2
Find the absolute value of the difference between the number and the mean. Add the result | (42 - 10.2) + (31 - 10.2) + (1 _ 10.2) + (1 - 10.2) + (2 - 10.2) + (4 - 10.2) + (5 - 10.2) + (6 - 10.2) + (7 - 10.2) + (3 - 10.2) = 105.2
Divide the sum by the total number in the dataset = 105.2 / 10 = 10.52
To learn more about mean absolute deviation, please check: brainly.com/question/27365177
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Answer: 2 and 1/4 cups of oats (9/4 cups of oats)
Step-by-step explanation:
We know that, for the recipe, we need 3/4 cups of oats.
Now, you want to triple the recipe (then you need to use 3 times more ingredients).
This means that, if for the recipe you needed 3/4 cups of oats, when we triple that we have:
3*(3/4 cups) = 9/4 cups
This means that you need to use 9/4 cups of oats.
And we could also write this as:
9/4 cups = 8/4 cups + 1/4 cups = 2 + 1/4 cups of oats.
Answer:
0.833
Step-by-step explanation:
1. locate which vertical column of the graph we are referring to:
2. calculate the total number of trials student 7 did:
- if in 5 trials the tack landed point-up, and in 1 trial the tack did not land point-up, the total number of trials is 6
- 5 + 1 = 6
3. refer back to the question:
- the question states: "what is the experimental probability that the tack lands point-up"
4. interpret the graph:
- of the 6 trials student 7 underwent, the graph tells us that 5 landed point-up.
- therefore the experimental probability of a tack landing point up is 5/6 (in 5 out of the 6 trials, the tack landed point-up)
5. converting from fraction to decimal:
- all the given answers are given in decimal form, whilst our current answer (5/6) is in fraction form.
- to convert to decimal form, simply divide the top number by the bottom number
- 5 ÷ 6 = 0.833
therefore, the experimental probability that the tack will land point-up, is 0.833
hope this helps :)
Y=|x|-2
this can be easily seen by testing f(0) for all functions:
f1(0)=|0-2|=2
f2(0)=|x+2|=2
f3(0)=|x|-2=-2
f4(0)=|x|+2=2
f(0)=|x|=0, because you want to translate it 2 units down -2 is the expected value
