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In Science

Merits:It is rigidly defined.It is easy to calculate and simple to follow.It is based on all the abservations.It is determined for almost every kind of data.It is finite and n…ot indefinite.It is readily put to algebraic treatment.It is least affected by fluctuations of sampling. Demerits:The arithmetic mean is highly affected by extreme values.It cannot average the ratios and precentages properly.It is not an approprite average for highly skewed distributions.It cannot be computed accurately if any item is missing.The mean sometimes does not coincide with any of the abserved value. (MORE)

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In Science

The mean of the numbers a1, a2, ..., an is equal to (a1 + a2 + ..., + an)/n. This number is used mostly as the average. It is called the arithmetic mean.

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In Geometry

The plain arithmetic mean is actually a special case of the weighted mean, except all the weights are equal to 1. The arithmetic mean is the sum of all the individual observat…ions divided by the number of observations. With a weighted mean you multiply each observation by a weight, add those values together and then divide by the sum of the weights. E.g. Let's say you have 3 observations: 4, 7, 12 The arithmetic mean is (4+7+12) / 3 = 23/3 = 7.67 Now let's assume that you want to weight the first observation by a factor of 10, the second observation by a factor of 5 and the third observation by a factor of 2: The weighted mean is (4x10+7x5+12x3) / (10+5+2) = 111/17 = 6.53 You can see that if all the weights were 1 you would have the arithmetic mean shown above. As it is mentioned above arithmetic mean is a special case of weighted mean. In the calculation of arithmetic mean all the observations are given an equal chance of occurance ie the above mentioned problem can be written as 4*1/3+7*1/3+12*1/3=7.67 or inother words 7.67 is the number it takes if all are given equal chance whereas in weighted mean the chance of occurance are not equal .This can be written as 4*10/17+7*5/17+12*2/17=6.53 in the above eg. 4 has given more weightage than 7 and 12 has the least weightage so the probability of 4 occurring is more when compared to 7 and 12 there fore the average obtained is seen to decrease as we have given more importance to 4 than others. It shows that the average is affected by the weightage given to the numbers (MORE)

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In Science

It helps to determine the average It helps to make comments/anlysis of set of values

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In Numbers

The arithmetic mean is the average of all values. Add all of the values together and divide by the number of values. Suppose you want to find the arithmetic mean of n numbers,… which are x1, x2, x3, ... , xn. Then the arithmetic mean = (x1 + x2 + x3 + ... + xn)/n , that is, the sum of all the values whose mean you want, divided by the number of values. Example: values 2, 8, 11 The sum of the three is 21, divided by three gives the mean = 7 (MORE)

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In Science

Arithmetic mean (the average) of a series of values can gives us a fairly decent estimate of the most probable value of a next input. For example in the group: 0, 3…, 4, 6, 7, 7, 8 The average is 5. This gives us a good estimate of what we should expect a value to be. However, 5 does not appear even once in the group of values. The mean is not good for finding the most used value, the middle value, or dealing with extremes (numbers much higher or lower than most numbers in the group). Other statistical terms that can help add clarification to the mean are the median (middle number), mode (the most frequent number), and the range (the positive difference between the highest and lowest values). (MORE)

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In Statistics

There are a great number of advantages and disadvantages of Arithmetic mean. One disadvantages is that it is not accurate.

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In Science

It is easy to use in further analysis calculation can be done easily using arithmetic mean is unique value for each data set

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In Uncategorized

the 5s because it has better service but it dosent have diffrent colrs just silver gold and black

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20c + 5 = 5c + 65 Divide through by 5: 4c + 1 = c + 13 Subtract c from both sides: 3c + 1 = 13 Subtract 1 from both sides: 3c = 12 Divide both sides by 3: c = 4