A population of N = 10 scores has a mean of μ = 24. If one person with a score of X = 42 is removed from the population, what will be the value for the new mean?
To find the new mean after removing one person with a score of 42 from a population with a mean of 24, we can use the formula for the mean of a population:
Mean = (sum of all scores) / (number of scores)
First, let's calculate the sum of all scores in the population, including the score of 42:
Sum of all scores = N * Mean
= 10 * 24
= 240
Now, we need to find the sum of all scores after removing the score of 42. Since we are removing one person, the number of scores becomes N - 1.
Sum of all scores after removing 42 = Sum of all scores - 42
= 240 - 42
= 198
Next, we need to calculate the new mean using the updated sum of scores:
New Mean = (Sum of all scores after removing 42) / (Number of scores after removing 42)
= 198 / 9
= 22
Therefore, the new mean after removing one person with a score of 42 from the population will be 22.
total points: 10*24 = 240
after removal of 42, you have 9 scores with a total of 198.
So, ...