Question

Identify all values, if any, in the data set that would be considered outliers when creating a modified boxplot. 71 74 78 79 79 80 82

Answer 1

None of those are really outliers because they are all fairly close to one another.

Answer 2

No Outlier for the given data.

Explanation:

The given set of data : 71, 74, 78, 79, 79, 80, 82

Before find the outliers, let's find the median, Lower quartile (Q1) and Upper quartile (Q3).

The given set of data is odd set of data.

So, median = Middle value of the data = 79

Q1 = Median of the lower part.

That is median of 71, 74, 78

So Q1 = 74

Now let's find Q3 which is median of the upper set of data 79, 80, 89

So Q3 = 80

Now let's find Outlier.

Outlier should be more than 1.5 times of Q1 and 1.5 times of Q3

1.5*Q1 = 1.5 * 74 = 111

1.5 Q3 = 1.5*80 = 120

There are no such numbers in the given data.

Therefore, No Outlier for the given data.