What is an example of when you might want a large standard deviation? That is, data is spread out?
What is an example of when you might want a large standard
deviation? That is, data is spread out?
Solutions
Expert Solution
Example of data with high standard
deviation:
A dog walker wants to determine if the dogs on his route
are close in weight or not close in weight. He takes the average of
the weight of all ten dogs. He then calculates the variance, and
then the standard deviation. His standard deviation is extremely
high. This suggests that the dogs are of many various weights, or
that he has a few dogs whose weights are outliers that are skewing
the data.
a. What is an example of when you would want consistent data
and, therefore, a small standard deviation? b. What is an example
of when you might want a large standard deviation? That is, data
that is more spread out?
1. What is an example of when you would want consistent data
and, therefore, a small standard deviation?2. What is an example of when you might want a large standard
deviation? That is, data that is more spread out?
What is an example of when you would want consistent data and,
therefore, a small standard deviation and what is an example of
when you might want a large standard deviation?
1a. What is an example of when you would want consistent data
and, therefore, a small standard deviation?
b. What is an example of when you might want a large standard
deviation? That is, data that is more spread out?
Provide an example of when you might want to take a stratified
random sample instead of a simple random sample and explain what
the advantages of a stratified sample might be
We have seen that the standard deviation σ measures the spread
of a data set about the mean μ. Chebyshev's inequality
gives an estimate of how well the standard deviation measures that
spread. One consequence of this inequality is that for every data
set at least 75% of the data points lie within two standard
deviations of the mean, that is, between μ − 2σ and μ + 2σ
(inclusive). For example, if μ = 20 and σ = 5,...
StatisticsVariableMeanStDevMinimumQ1MedianQ3MaximumRangeIQRPulse Rate (bpm)77.1012.6860.0068.0076.0080.00124.0064.0012.00What measure of the center and spread should be used for the
Pulse Rate data? The mean and standard deviation, or the Median and
the IQR? Explain,
The formula for a sample Standard
Deviation is
Say we want to use standard
deviation as a way of comparing the amount of spread present in
each of two different distributions.
What is the effect of squaring the deviations? (1
mark)
How does this help us when we compare the spreads of two
distributions? (1 mark)
With reference to the formula and the magnitude of data values,
explain why introducing an outlier to a dataset affects the
Standard Deviations more...
You want to see graphically the effect of changing the standard
deviation of a Normal distribution. Let μ = 100 for both
distributions, but let σ = 10 for one and σ = 16 for the other
distribution. Recall that for each distribution the first value
should be 3σ below the mean of 100, and the last value should be 3σ
above the mean of 100. When MINITAB creates the X values for you,
for both distributions this time set...