Question

below are the distances from jamar house to each of the the four restaurant in his town in kilometer 0.4,0.2,0.4,0.6 find the absolute deviation (MAD) of the data set​

Answer 1

0.1

Explanation:

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Answer 2

`\bar X = (0.4+0.2+0.4+0.6)/(4)= 0.4`

Now we can calculate the absolute deviations from the mean for each value:

|0.4-0.4|=0

|0.2-0.4|=0.2

|0.4-0.4|=0

|0.6-0.4|=0.2

And adding these 4 values and dividing by 4we got the MAD on this case:

`MAD = (0+ 0.2+0 +0.2)/(4)=0.1`

Explanation:

We have the following dataset given:

0.4,0.2,0.4,0.6

In order to calculate the MAD we need to calculate the sample mean first with this formula:

`\bar X = (\sum_(i=1)^n X_i)/(n)`

Replacing we got:

`\bar X = (0.4+0.2+0.4+0.6)/(4)= 0.4`

Now we can calculate the absolute deviations from the mean for each value:

|0.4-0.4|=0

|0.2-0.4|=0.2

|0.4-0.4|=0

|0.6-0.4|=0.2

And adding these 4 values and dividing by 4we got the MAD on this case:

`MAD = (0+ 0.2+0 +0.2)/(4)=0.1`