Question

the average of all decision for the members of set of data without regards to the sign is called as....? A) deviation B) mean deviation C) relative error D) Abouslute error​

Answer 1

Answer:

here is the answer

Explanation:

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Answer 2

Answer:

The Average Deviation is the average of all decisions for the members of a collection of data without respect ot sign.

Explanation:

What exactly is the Average Deviation?

The average deviation is one of numerous variability indices used by statisticians to quantify the spread of measurements in a particular population.

The average deviation of a group of scores is computed by first determining the mean and then determining the specific distance between each score and the mean, regardless of whether the score is above or below the plane

It's also known as an average absolute deviation. The formula for calculating the average deviation is given below:

Average Deviation = $\frac{1}{n}$ ∑ Ιxi-x̅Ι

where,

xi = data values in the given set (observations)

x̅ = mean

n = number of observations.

What exactly is the Mean Deviation?

The mean deviation is the statistical metric that computes the average departure from the mean value of a given data collection. Using the following approach, you can simply determine the mean deviation of the data values.

• Step 1: Determine the mean value for the provided data points.
• Step 2: Substract the mean value from each of the provided data values (Note: ignore the minus symbol)
• Step 3: Calculate the average of the data acquired in step 2.

Below is the formula for calculating the mean deviation for the provided data set.

Mean Deviation = [ ∑ ΙX - μΙ ] / N

Here,

∑ = addition of values

X = each value in the data set

μ = mean of the data set

N = number of data values

ΙΙ = absolute value, which ignores the '-' sign

What exactly is Absolute Error?

Absolute error is the difference between a quantity's measured or inferred value and its actual value.

The absolute error value may be calculated using the formula if x is the actual value of a quantity and x₀ is the measured value of the quantity.

Δx = x₀ - x

Here, Δx = absolute error.

What exactly is the Relative Error?

The relative error is defined as the ratio of the measurement's absolute error to the actual measurement.

Using this approach, we can calculate the amount of absolute mistake in terms of the actual measurement size.

If the real measurement of the object is unknown, the relative error can be calculated based on the measured value.

If x is the actual value of a quantity, x₀ is the measured value and Δx is the absolute error, then the relative error may be calculated using the formula given below:

Relative error = (x₀-x)/x = (Δx)/x