Respuesta :
Answer:
Answer to this question may vary because deviation is the variation of a value from the mean so it can be greater or smaller than the mean value but the following is one of the possible answer.
Step-by-step explanation:
Given values of deviations:
0.4, 0.8, 1.2, and 1.4
let d₁=0.4
d₂=0.8
d₃=1.2
d₄=1.4
d₅=?
Mean:
- Mean is the sum of all data values divided by the number of data values.
- [tex]\sum\limits^n_{i_ = 1} {x_{i} }/n[/tex]
- Mean is the center value of all the data.
Deviation:
- Deviation is the difference of a value from the central value (i.e. mean value).
- The value greater or less than the mean is the deviation of values of data.
Formula for the Deviation:
To solve this question we will use the following formula as "Sum of all deviations around the mean value is always zero"
[tex]\sum\limits^5_{i=1} {d_{i} } =0[/tex]
where [tex]d_{i}[/tex] shows the number of deviations
expanding the above formula for the sum of deviations, we get
d₁+d₂+d₃+d₄+d₅=0
putting given values, we get
0.4+0.8+1.2+1.4+d₅=0
3.8+d₅=0
d₅= -3.8
