When the outliers are removed, how does the mean change?
dot plot with 1 on 50, 1 on 76, 1 on 78, 2 on 79, 1 on 80, 1 on 81, 2 on 82, 1 on 83
The mean decreases by 3.
The mean increases by 2.
The mean increases by 3.
There are no outliers.
The mean increases by 2.
the mean increased by 2
To determine how the mean changes when outliers are removed, we first need to identify the outliers in the dataset. An outlier is a value that significantly deviates from the other values in the dataset. One way to identify outliers is by using a box plot or a dot plot, which visually represent the distribution of the data.
Looking at the given dot plot, we have the following values:
50, 76, 78, 79, 79, 80, 81, 82, 82, 83
Since we have several repeated values, we can see that the values 50, 76, and 78 occur less frequently than the other values. Therefore, we can consider them as potential outliers.
If we remove these outliers, we are left with the following values:
79, 79, 80, 81, 82, 82, 83
To calculate the mean, we sum up all the remaining values and divide by the number of values:
(79 + 79 + 80 + 81 + 82 + 82 + 83) / 7 = 566 / 7 ≈ 80.9
Comparing this new mean with the original mean, which is not given, we can see that it decreases by approximately 3.
So the correct answer is: The mean decreases by 3.
Mean = ∑x/n
Calculate the mean with all the scores, then calculate the mean without the 50.