I have several questions relate to frequency distribution that I need support. Please see my questions below and please post with examples if you can so I have more understanding.

1. Does it necessarily true that any frequency distribution contains any form of data sample? Please illustrate your answer with examples.

2. Can we make any comment regarding the distributional (i.e., skewness, Kurtosis, etc.) shape of the data points from a frequency table?

3. Suppose, you are given a frequency distribution table (not the raw data set), how will you calculate Mean, Median and Mode of the distribution of the data set from the frequency table?

Here is what has been done above.
Take the definition of skewness and multiply out.
Use the fact that E(aX+bY+c) = aE(x)+bE(Y)+c (where X and Y are variables and c,a,b are constants) to simplify the expression into something we can work with.

Notation used above includes:
u = mean
s = standard deviation.
E(Y) = the expected value of Y
Note: E(X) = u in the above since u is the mean of x.
Note 2: To find E(x^n) do: E(x^n) = SUM[(midpoint of class i)*(frequency of class i)/(number of total observations)] where i ...

Solution Summary

The solution discusses questions regarding frequency distribution and data samples.

... Mean, median, standard deviation of a frequency distribution, skewness of the data. 1. Owens Orchards sells apples in a large bag by weight. A sample of seven ...

Construct Frequency Distributions Classes. ... Pennsylvania residents born after 1979 (based on data from "An ... Construct a frequency distribution with eight classes. ...

... The distribution then shows the number of students whose scores ... will be 10/200 = 0.05 Cumulative frequency is the running sum of the frequencies. ...

... a class is the sum of the frequencies for that ... values of the observations and the frequency in which ... viewed graphically the shape of the distribution may take ...

... size of 3) and a larger sampling distribution of sample... in Excel, you first have to make frequency distributions. ... on the x-axis and the frequencies on the y ...

... 79, 91, 93, 89 Create a relative frequency histogram using ten-point intervals to show the distribution of the ... stem-and-leaf diagram for the data: 64, 61 ...

... a grouped frequency distribution for the data given below: 38 28 37 40 37 29 39 31 38 32 41 39 40 33 28 29 37 42 31 28 Determine if this is an example of a ...

Statistics: Frequency Distributions. ... 100% Empirical rule states that for a normal distribution, About 95 ... b) What percentage of data lies in the interval µ ± σ ...