Mean of 10 observations is 100. One of the observations is dropped from the data. The mean of the remaining observations is 9. What is the value of the dropped observation?
Do you have a typo? It would take an extremely deviant score (>100) to drop the mean from 100 to 9 by omitting it.
I typed the question correctly maybe my homework has a typo...
To find the value of the dropped observation, we can use the concept of mean.
Given:
Mean of 10 observations = 100
Mean of 9 remaining observations = 9
To find the value of the dropped observation, we can use the formula for mean:
Mean = (Sum of all observations) / (Number of observations)
Let's solve for the sum of all observations:
Sum of all 10 observations = Mean * Number of observations
= 100 * 10
= 1000
Now, let's solve for the sum of the remaining 9 observations:
Sum of 9 remaining observations = Mean of the remaining observations * Number of observations
= 9 * 9
= 81
To find the value of the dropped observation, we can subtract the sum of the remaining 9 observations from the sum of all 10 observations:
Value of dropped observation = Sum of all 10 observations - Sum of 9 remaining observations
= 1000 - 81
= 919
Therefore, the value of the dropped observation is 919.