Answer:
The mean is 95 and the standard deviation is 2
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
Population:
Mean 95, Standard deviation 12
Samples of size 36:
By the Central Limit Theorem,
Mean 95
Standard deviation 
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:
e = - 43/5
Step-by-step explanation:
5e = -51+8
5e = -43 Divide both sides
Your answer is 2/3 because 8 divided by 12 is 8/12 but you have to round it and you would get 2/3!!! :)<span>
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