Answer:
[tex]\bar X = 100.4[/tex]
And we can calculate the deviations from each value like this:
[tex] |101.5-100.4 |=1.1[/tex]
[tex] |98.7-100.4 |=1.7[/tex]
[tex] |95.4-100.4 |=5.0[/tex]
[tex] |92.3-100.4 |=8.1[/tex]
[tex] |109.8-100.4 |=9.4[/tex]
[tex] |104.7-100.4|=4.3[/tex]
And the mean absolute deviation would be:
[tex] MAD =\frac{1.1+1.7+5.0+8.1+9.4+4.3}{6}= 4.93[/tex]
Step-by-step explanation:
For this case we have the following dataset given:
101.5 98.7 95.4 92.3 109.8 104.7
We can calculate the mean with the following formula:
[tex] \bar X =\frac{\sum_{i=1}^n X_i}{n}[/tex]
And replacing we got:
[tex]\bar X = 100.4[/tex]
And we can calculate the deviations from each value like this:
[tex] |101.5-100.4 |=1.1[/tex]
[tex] |98.7-100.4 |=1.7[/tex]
[tex] |95.4-100.4 |=5.0[/tex]
[tex] |92.3-100.4 |=8.1[/tex]
[tex] |109.8-100.4 |=9.4[/tex]
[tex] |104.7-100.4|=4.3[/tex]
And the mean absolute deviation would be:
[tex] MAD =\frac{1.1+1.7+5.0+8.1+9.4+4.3}{6}= 4.93[/tex]
