Question

d. sample standard deviation = 5.87 (round ae. population standard deviation = 5.81 (rounf. five-number summary:a. 14b. 23c. 25d. 28e. 38g. interquartile range =h. lower fence =i. upper fence =j. are there outliers in the data?○ no○ yesquestion help: message instructor

Explanation:

Step1: Calculate Interquartile Range

The interquartile range (IQR) is $Q_3 - Q_1$. From the five-number summary, $Q_1=23$, $Q_3=28$.
$\text{IQR} = 28 - 23 = 5$

Step2: Calculate Lower Fence

Lower fence uses formula $Q_1 - 1.5\times\text{IQR}$.
$\text{Lower Fence} = 23 - 1.5\times5 = 23 - 7.5 = 15.5$

Step3: Calculate Upper Fence

Upper fence uses formula $Q_3 + 1.5\times\text{IQR}$.
$\text{Upper Fence} = 28 + 1.5\times5 = 28 + 7.5 = 35.5$

Step4: Check for outliers

Compare data min/max to fences: Min=14 < 15.5, Max=38 > 35.5. So outliers exist.

Answer:

g. 5
h. 15.5
i. 35.5
j. yes