Arithmetic mean is 5.6 for the observations 8,1 and 6 that are weighted by 3,2 and 5 respectively. Find the algebraic sum of the deviations?

Arithmetic mean is 5.6 for the observations 8,1 and 6 that are weighted by 3,2 and 5 respectively.

Find the algebraic sum of the deviations?

Expert Solution

Solution

From the question, observations xi = 8, 1 and 6 with frequencies fi = 3, 2 and 5 respectively have an arithmetic mean of 5.6

We have to calculate the algebraic sum of the deviations of observations from the arithmetic mean.

So,

Thus, the algebraic sum of the deviations of observations with given weights from the arithmetic mean 5.6 is zero.

The algebraic sum of the deviations of observations with given weights from the arithmetic mean 5.6 is zero.

Shams answered 2 years ago

Find the arithmetic mean of observations 8, 1 and 6 with frequency (or weight) 3, 2 and 5 respectively?

If 7,4 and 9 be the arithmetic mean of three seperate groups containing 6,2 and 5 observations respectively, then calculate the arithmetic mean of all the thirteen observations combined?

Sum of the deviations from Mean is equal to zero. Check the validity of this statement by taking observations 8. 1 and 6?

The sum of deviations of observations around its mean is always zero. Explain this in detail...

The sum of deviations of observations around its mean is always zero. Explain this in detail with example?

For a set of ungrouped or individual observations, the sum of the deviations of all observations...

For a set of ungrouped or individual observations, the sum of the deviations of all observations from the mean is: a. the standard deviation b. the interquartile range c. the median d. zero e. the sum of all the observations

What is the arithmetic mean of three observations with values of 8, 1 and 6?

5. Find the sum of terms in given arithmetic sequence 1 + 3 + 5 +...

5. Find the sum of terms in given arithmetic sequence 1 + 3 + 5 + ... + 59 6. Find the sum of terms in given arithmetic sequence 2 + 5 + 8 + ... + 41 7.Given a geometric sequence 6 + 2 + 2/3 + ... is this sequence converging or diverging, if it is converging find it's sum

How are different types of arithmetic means like simple arithmetic mean, weighted arithmetic mean etc. calculated.?

How are different types of arithmetic means calculated.? like simple arithmetic mean, weighted arithmetic mean, arithmetic mean for continuous class , combined arithmetic mean.

For the following exercises, use the formula for the sum of the first n terms of each arithmetic sequence. 3.2 + 3.4 + 3.6 + … + 5.6

For the following exercises, use the formula for the sum of the first n terms of each arithmetic sequence.3.2 + 3.4 + 3.6 + … + 5.6

Use the formula for the sum of the first n terms of an arithmetic series to find the sum of the first eleven terms of the arithmetic series 2.5, 4, 5.5, … .

Question