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For discrete distributions, suppose the variable X takes the specific value x with probability P(X=x)
Then add together x * P(X = x) for all possible values of x.
For continuous distributions, suppose the probability distribution function of the variable X is f(x).
Then the mean is the integral of x*f(x) with respect to x, taken over all possible values of x.
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(b)For a set of numbers 1,4,7. Find population mean and Variance. Draw up frequency distributions of means of all possible samples of size 3 when sampling is carried out with replacement. Find mean and variance of distribution?
lowest
Why are open-ended frequency distributions necessary?
to quickly and effectively represent data
Frequency and cumulative frequency are two types of what?
Frequency and cumulative frequency are two types of frequency distributions. These are frequency tables that show statistical data for different types of frequencies that include absolute, relative, and cumulative frequencies. There are mathematical formulas used to calculate these frequencies.
What are some benefits of representing data sets using frequency distributions?
Organizing the data into a frequency distribution can make patterns within the data more evident.
Is the sum of deviations from the mean equal to zero in symmetrical distributions?
It is equal to zero in ALL distributions.
(b)For a set of numbers 1,4,7. Find population mean and Variance. Draw up frequency distributions of means of all possible samples of size 3 when sampling is carried out with replacement. Find mean and variance of distribution?
lowest
Can frequency distributions contain more than ten observations?
Yes.
Why are open-ended frequency distributions necessary?
to quickly and effectively represent data
What are three types of frequency distributions?
1) Ungrouped2) Grouped 3) Qualitative
Frequency and cumulative frequency are two types of what?
Frequency and cumulative frequency are two types of frequency distributions. These are frequency tables that show statistical data for different types of frequencies that include absolute, relative, and cumulative frequencies. There are mathematical formulas used to calculate these frequencies.
What are some benefits of representing data sets using frequency distributions?
Organizing the data into a frequency distribution can make patterns within the data more evident.
What is the mean of frequency distribution?
It is a mathematically calculated summary statistic. With discrete distributions it is the arithmetic mean whereas with a continuous distribution it is the value of the random variable (RV) such that it divides the area under the probability distribution curve in half.
Is the sum of deviations from the mean equal to zero in symmetrical distributions?
It is equal to zero in ALL distributions.
How do find the midrange of a set of numbers?
find the mean in a set of frequency distribution
Find the z-score that is less than the mean and for which 70 percent of distributions area lies to its right?
It is z = -0.5244
What is gaussian frequency curve?
The Gaussian curve is the Normal distributoin curve, the commonest (and most studied) of statistical distributions.
What is a frequency distribution defined by its average and standard deviation?
The triangular, uniform, binomial, Poisson, geometric, exponential and Gaussian distributions are some that can be so defined. In fact, the Poisson and exponential need only the mean.
