Respuesta :
Answer:
Step-by-step explanation:
The formula for determining the mean of a data is
Mean = sum of items/number of items
Looking at the given data, sum of the items is
9 + 12 + 3 + 5 + 8 = 37
Number of items = 5
Mean = 37/5 = 7.4
Deviation of each item from the mean is
9 - 7.4 = 1.6
12 - 7.4 = 4.6
3 - 7.4 = - 4.4
5 - 7.4 = - 2.4
8 - 7.4 = 0.6
The sum of the absolute values are
1.6 + 4.6 + 4.4 + 2.4 + 0.6 = 13.6
The mean absolute deviation is
13.6/5 = 2.72
Answer:
[tex]\bar X =\frac{9 + 12 + 3 + 5 + 8}{5} =7.4[/tex]
[tex] MAD= |1.6| + |4.6| + |4.4| + |2.4| + |0.6| = 13.6[/tex]
Step-by-step explanation:
For this case we have the following data given: 9,12,3,5,8
1 step
The mean for this case can be calculated with this formula:
[tex]\bar X= \frac{\sum_{i=1}^n X_i}{n}[/tex]
And replacing we got:
[tex]\bar X =\frac{9 + 12 + 3 + 5 + 8}{5} =7.4[/tex]
2 Step
We can calculate the deviation for each value from the mean like this:
9 - 7.4 = 1.6
12 - 7.4 = 4.6
3 - 7.4 = - 4.4
5 - 7.4 = - 2.4
8 - 7.4 = 0.6
And in order to calculate the mean absolute deviation we just need the following formula:
[tex]MAD= \sum_{i=1}^n |X_i -\bar X|[/tex]
And replacing we got:
[tex] MAD= |1.6| + |4.6| + |4.4| + |2.4| + |0.6| = 13.6[/tex]
