Question

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Answer 1

Answer:

A deviation that is a difference between an observed value and the true value of a quantity of interest (where true value denotes the Expected Value, such as the population mean) is an error.

A deviation that is the difference between the observed value and an estimate of the true value (e.g. the sample mean; the Expected Value of a sample can be used as an estimate of the Expected Value of the population) is a residual. These concepts are applicable for data at the interval and ratio levels of measurement.

Unsigned or absolute deviation Edit

See also: Average absolute deviation and Least absolute deviation

In statistics, the absolute deviation of an element of a data set is the absolute difference between that element and a given point. Typically the deviation is reckoned from the central value, being construed as some type of average, most often the median or sometimes the mean of the data set:

{\displaystyle D_{i}=|x_{i}-m(X)|,}{\displaystyle D_{i}=|x_{i}-m(X)|,}

where

Di is the absolute deviation,

xi is the data element,

m(X) is the chosen measure of central tendency of the data set—sometimes the mean ({\displaystyle {\overline {x}}}{\overline {x}}), but most often the median.

Answer 2

Step-by-step explanation:

In ∆ABC

∠ACD = ∠ALC + ∠LAC

= ∠ALC + 1/2 ∠BAC

Therefore, ∠ACD + ∠ABC = ∠ALC + 1/2 ∠BAC + ∠ABC -------(1)

Now, In ∆ABL

∠ALC = ∠ABC + ∠BAL

= ∠ABC + 1/2 ∠BAC ------- (2)

From eq(1) and eq(2)

∠ACD + ∠ABC = ∠ALC + ∠ALC

∠ACD + ∠ABC = 2∠ALC

Hope you got your answer

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