A survey was taken of students in math classes to find out how many hours per day students spend on social media. The survey results for the first-, second-, and third-period classes are as follows:
First period: 2, 4, 3, 1, 0, 2, 1, 3, 1, 4, 9, 2, 4, 3, 0
Second period: 3, 2, 3, 1, 3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2
Third period: 4, 5, 3, 4, 2, 3, 4, 1, 8, 2, 3, 1, 0, 2, 1, 3
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Which is the best measure of center for second period and why?
Mean, because there are no outliers that affect the center
Median, because there is 1 outlier that affects the center
Interquartile range, because there is 1 outlier that affects the center
Standard deviation, because there are no outliers that affect the center
Can you see any outliers in the data for the second period?
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0 is an outliner in second period
I don't think that zero is an outlier. It is not far removed from the other values in the set.
But its the least common and it has the least ammount from the data set not to mention its the furthest from all the numbers.
An example of an outlier is 9 in the first period.
Outliner - A value that "lies outside" (is much smaller or larger than) most of the other values in a set of data.
The outliner is 8 in 3rd period
There are accepted ways to decide whether or not a point should be regarded as an outlier.
A point is an outlier if:
1) It is more than two standard deviations away from the mean
2) It is more than 1.5 times the inter-quartile range away from the nearest quartile.
Do you want to use one of these methods to decide whether or not 0 is an outlier in the data for the second period?
Sure why not
There are no Outliners in Second Period.... are there?
I believe that there are no outliers in the data for the second period. If you accept that, the choice of answer is between A and D. Is the standard deviation a measure of the center?
Its a measurment done from the mean
that is what a stander mediation is
Standard deviation is a measure of spread. It is not a measure of the center. Can you now see what is the correct choice of answer?