A population of 19 scores has a mean

Answered question

2022-02-16

A population of 19 scores has a mean of 8. One score of X = 6 is removed from the population. What is the value of the new mean?

Answer & Explanation

2022-02-22

I think you should multiply 19 by 8( to get the total when there are still 19 scores)and get 152 then subtract 6 to get 146 which is the new total. Divede this by 18 (the new number of scores) to get the new mean.
nick1337

nick1337

Expert2023-04-23Added 777 answers

To find the new mean of the population, we need to first calculate the sum of the remaining scores after the removal of X=6.

We know that the original mean of the population is 8, which means that the sum of all 19 scores is:

Mean×Number of scores=8×19=152

Now that we have the sum of all the scores, we can subtract the score of X=6 from it to get the sum of the remaining 18 scores:

152-6=146

To find the new mean, we divide the sum of the remaining 18 scores by the total number of scores (which is now 18 since one score was removed):

New mean=Sum of remaining scoresNumber of remaining scores
        =14618
        =8.1111 (rounded to four decimal places)

Therefore, the new mean of the population after the removal of X=6 is 8.1111.

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