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The arithmetic mean of data is given by the formula
$$\mu = \bar{x} = \frac{\sum_{i=1}^{n} x_{i}}{n}$$
where n is the number of values and xi,i=1..n¯¯¯¯¯¯¯¯¯¯ are the values themselves.
Since we have n points, n=3.
The sum of the values is.
$$14 + 48 + 51 = 113$$
Therefore, the arithmetic mean is
$$\mu = \bar{x} = \frac{113}{3}$$
For Example Answer :The arithmetic mean is
$$\mu = \bar{x} = \frac{113}{3} = 37.6666666666667$$
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The average of a group of numbers is just the sum of the numbers divided by the entire number of values within the set. For instance, suppose we would like the type of 24, 55, 17, and 87, and 100. Simply find the sum of the numbers: 24 + 55 + 17 + 87 + 100 = 283 and divide by 5to get 56.6. an easy problem like this one is often done by hand without an excessive amount of trouble, but, for more complex numbers involving many decimal places, it's more convenient to use this calculator. Note that the mean rating calculator does identical math - it calculates a mean rating given the number of votes with values from 1 to five.
The weighted average calculator allows you to assign weights to every number. Variety weighting is an indicator of its importance. A standard sort of a weighted mean that's computed is that the mark average (GPA). To try this by hand, follow these steps:
Multiply the worth of the letter grade by the number of credits within the class.
Do this for all the classes and take the sum.
Divide the sum by the entire number of credits.
Suppose the grades are an A for a 3 credit class, two B's for the 4 credit classes and a C for a 2 credit class. Using the quality value of 4 for an A, 3 for a B and a couple of for a C, the mark average is GPA = [4(3) + 3(4) + 3(4) + 2(2)]/(3 + 4 + 4 + 2) = 40/13 = 3.08
Note that the typical calculator will compute the typical for all values that are weighted equally. For a weighted average, like GPA and other statistical applications, the weighted average calculator linked above is that the tool you would like to use. In statistics, the mean is understood as a measure of central tendency.
We calculate averages because they're really useful thanks to present an outsized amount of knowledge. Rather than having to trawl through hundreds or thousands of pieces of knowledge, we've one number that succinctly summaries the entire set. While there are some problems with averages, like outliers showing an inaccurate average, they're useful to match data at a look.
Now let’s find out how do I calculate my grade average?
A. The Term Average Has A Number Of Different Meanings. Most Generally, It Is A Single Number That Is Used To Represent A Collection Of Numbers.