The IQR is the best measurement of spread for games and movies and option C is the correct choice.
What do you mean by standard deviation?
In statistics, Standard deviation is a measure of the variation of a set of values.
σ = standard deviation of the population
N = number of observations of population
X = mean
μ = population mean
It is given that two box plots represent attendance at a local movie theater and high school basketball games. we need to choose the correct option the measure the spread of the data represented by box plots.
Since we know that Standard deviation is not a good measure of spread in highly skewed data. IQR is a better measure of spread for highly skewed data.
The box plot representing attendance at movies is right-skewed,
therefore, the mean will be greater than the median and SD will not be a good measure of spread.
Box plot representing basketball games attendance is left-skewed left,
therefore, the mean will be less than the median and SD will not be a good measure of spread.
Both box plots are highly skewed, therefore, the IQR is the best measurement of spread for games and movies and option C is the correct choice.
Learn more about standard deviation and variance:
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