If the mean value of the data set is 509. Then the mean absolute deviation (MAD) for the data set will be 51.5.
<h3>What is the mean absolute deviation?</h3>It is the average distance between each data point and the mean.
The mean of the following data is 509.
{419, 450, 462, 499, 520, 521, 589, 612}
Then the mean absolute deviation (MAD) for the data set will be
We have
μ = 509
n = 8
Then
More about the mean absolute deviation link is given below.
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Answer:
d.Unknown, we don’t have enough information to determine the shape
Step-by-step explanation:
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 problem, we have that:
We don't know the shape of the distribution of the meetings time.
The sample size is smaller than 30.
So we can't apply the central limit theorem, and the correct answer is:
d.Unknown, we don’t have enough information to determine the shape