how do you find an outlier and tell how it affects the mean with these numbers?
-13,-16,-12,-16,-3,-14 and with these numbers 28,12,37,36,30,32,35?
In the first set of numbers, the outlier is -3 because the others are all in the negative teens.
What do you see as the outlier in the other set?
for the secod set i think its 12 is that corecct?
and how does the outlier affect the mean?
You're right. If you take the low outlier out, then the mean will rise.
what about the second one?
To find an outlier in a dataset, you generally need to calculate the mean (average) and look for data points that are significantly different from the rest.
Let's start with the first set of numbers: -13, -16, -12, -16, -3, -14.
1. Calculate the mean of the dataset:
Add up all the numbers and divide the sum by the total count of numbers:
(-13) + (-16) + (-12) + (-16) + (-3) + (-14) = -74
-74 / 6 = -12.33 (rounded to two decimal places)
2. Identify the outliers:
Any data point that is significantly different from the mean can be considered an outlier. In this case, take note of the values that deviate noticeably from the calculated mean (-12.33).
Now let's move on to the second set of numbers: 28, 12, 37, 36, 30, 32, 35.
1. Calculate the mean of the dataset:
Add up all the numbers and divide the sum by the total count of numbers:
28 + 12 + 37 + 36 + 30 + 32 + 35 = 210
210 / 7 = 30
2. Identify the outliers:
Again, look for values that deviate significantly from the mean (30).
Determining how an outlier affects the mean can be done by observing the difference between the mean with and without the outlier. However, in both sets of numbers mentioned, there are no outliers that deviate significantly from the mean. Therefore, the outliers do not affect the mean substantially.