The traditional course has a standard deviation of 8.959, while the "flipped" course has a standard deviation of 8.198. The traditional course has more dispersion. (Round to three decimal places as needed.)
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The industrial sector appears to have more dispersion. The industrial sector has the higher mean rate of return, and the industrial sector has the higher median rate of return. The weight of an organ in adult males has a bell-shaped distribution with a mean of 325 grams and a standard deviation of 25 grams.
The standard deviation is a resistant measure of spread. The standard deviation can be negative. The following data for a random sample of banks in two cities represent the ATM fees for using another bank's ATM. Compute the sample variance for ATM fees for each city. Complete the following statement about the Empirical Rule.
The standard deviation of the entire class is more than the standard deviation of the males and females considered separately because the distribution of the entire class has more dispersion. Clarissa has just completed her second semester in college. She earned a grade of D in her 3-hour topology course, a grade of course.
No, because 26inches is less than less than 2 standard deviations away from 16 inches. True or False: When comparing two populations, the larger the standard deviation, the more dispersion the distribution has, provided that the variable of interest from the two populations has the same unit of measure.
The standard deviation of the entire class is more than the standard deviation of the males and females considered separately because the distribution of the entire class has more dispersion.
What makes the range less desirable than the standard deviation as a measure of dispersion? The Range does not use all the observations. The range only uses two observations from a data set, whereas the standard deviation uses all the observations.
The interquartile range is a resistant measure of dispersion.
You are finding the ACTUAL percentage of mutual funds that are within one standard deviation. The empirical rule states that if these are normally distributed, 68% would fall within one standard deviation.
The range is less desirable than the standard deviation as a measure of dispersion because it is computed using only two values in the data set (the largest and smallest).
True, because the standard deviation describes how far, on average, each observation is from the typical value. A larger standard deviation means that observations are more distant from the typical value, and therefore, more dispersed.
Range, interquartile range, and standard deviation are the three commonly used measures of dispersion.
Standard deviationStandard deviation is sensitive to extreme values. A single very extreme value can increase the standard deviation and misrepresent the dispersion. For two data sets with the same mean, the one with the larger standard deviation is the one in which the data is more spread out from the center.
An advantage of the standard deviation is that it uses all the observations in its computation. The interquartile range, IQR, is the range of the middle 50% of the observations in a data set. That is, the IQR is the difference between the first and third quartiles.
However, the range and standard deviation have the following difference: The range tells us the difference between the largest and smallest value in the entire dataset. The standard deviation tells us the typical deviation of individual values from the mean value in the dataset.
68%The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean. Under this rule, 68% of the data falls within one standard deviation, 95% percent within two standard deviations, and 99.7% within three standard deviations from the mean.
The Empirical Rule or 68-95-99.7% Rule can give us a good starting point. This rule tells us that around 68% of the data will fall within one standard deviation of the mean; around 95% will fall within two standard deviations of the mean; and 99.7% will fall within three standard deviations of the mean.
The standard deviation of the entire class is more than the standard deviation of the males and females considered separately because the distribution of the entire class has more dispersion. If a variable has a distribution that is bell-shaped with mean.
A larger standard deviation means that observations are more distant from the typical value, and therefore, more dispersed. Over the past 10 years, five mutual funds all had the same mean rate of return.