Question

the weights of 16 randomly selected acorns from california black oak trees are recorded below. 6.7, 8.8, 6.2, 6.8, 5.3, 6.0, 7.2, 6.2, 5.7, 5.7, 6.6, 6.1, 5.8, 6.8, 7.0, 7.2. enter the five - number summary below. do not round any answers in this problem.

minimum	q1	q2	q3	maximum
	5.9

part 2 of 3

hint 5 hint 6

the five point summary is as follows: min = 8.8, q1 = 5.9, median = 6.4, q3 = 6.9, max = 8.8. the interquartile range is iqr = 1.

give the outlier fences below.

lower fence	upper fence

|
|

list any outliers below. if there is more than 1, separate them by commas.

Explanation:

Step1: Recall outlier - fence formula

The lower fence is calculated as $Q_1 - 1.5\times IQR$ and the upper fence is calculated as $Q_3+1.5\times IQR$.

Step2: Identify known values

We know that $Q_1 = 5.9$, $Q_3 = 6.9$, and $IQR = 1$.

Step3: Calculate lower fence

Lower fence=$Q_1 - 1.5\times IQR=5.9-1.5\times1 = 4.4$.

Step4: Calculate upper fence

Upper fence=$Q_3 + 1.5\times IQR=6.9 + 1.5\times1=8.4$.

Step5: Identify outliers

We check which data - points are outside the range $[4.4,8.4]$. The data - set is $[6.7,8.8,6.2,6.8,5.3,6.0,7.2,6.2,5.7,5.7,6.6,6.1,5.8,6.8,7.0,7.2]$. The value $8.8$ is greater than $8.4$, so it is an outlier.

Answer:

Lower Fence: 4.4
Upper Fence: 8.4
Outliers: 8.8