A population of N =16 scores has a mean of p = 20, After one score is removed from the population, the new mean is found to be μ=19. What is the value of ine score that was removed? (Hint: Compare the val- ues for X before and after the score was removed.)

sanuluy

sanuluy

Answered question

2020-10-27

With one score eliminated from the population, the new mean is discovered to be μ=19, which corresponds to a population of N = 16 scores with a mean of p = 20. What was the significance of the removed in-e score?

Answer & Explanation

BleabyinfibiaG

BleabyinfibiaG

Skilled2020-10-28Added 118 answers

Let X1, X2,..., and X16 represent the initial population. To get the second population, we are remowing X16 from this population.
The first mean is so
(Σ6116)Xi)=20>Σ16Xi=320i=1i=1
The second mean is
(Σ5115)Xi)=19>Σ61Xi=285i=1i=1
From (1) we get that
Σ51X1+X16=320i=1
Plug (2) into the above equation:
285+X16=320X16=35

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