The first four deviations from the mean in a sample of n = 5 reaction times were 0.4, 0.8, 1.2, and 1.4. What is the fifth deviation from the mean?

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:

Deviation:

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"

where 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

56

step-by-step explanation: