Question

the following ti - 84 plus display presents the five - number summary for a data set.
1 - var stats
↑sx = 5.850925853
σx = 5.550675635
n = 10
minx = 2
q1 = 13
med = 15.5
q3 = 21
maxx = 22
are there any outliers in this data set?
there select ^ outliers in this data set.

Explanation:

Step1: Calculate the inter - quartile range (IQR)

$IQR = Q_3 - Q_1$
$IQR=21 - 13=8$

Step2: Calculate the lower fence

Lower fence $=Q_1-1.5\times IQR$
$=13 - 1.5\times8$
$=13 - 12 = 1$

Step3: Calculate the upper fence

Upper fence $=Q_3 + 1.5\times IQR$
$=21+1.5\times8$
$=21 + 12=33$

Step4: Check for outliers

The minimum value of the data set is $2$ and the maximum value is $22$. Since $2\geq1$ and $22\leq33$, there are no values outside the fences.

Answer:

There are no outliers in this data set.